Answer:
A(5,1) B(-6,2) C(7-4)
Step-by-step explanation:
The vertices of triangle PQR are listed below.
P(-5, 3), Q(-13, -3), R(-5, -9)
What is the perimeter of triangle PQR?
A.
32 units
B.
51 units
C.
22 units
D.
48 units
Answer:
A. 32 units
Step-by-step explanation:
First, we need to find all of the side lengths of triangle using distance formula:
[tex]Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Now, we can calculate length of PQ, QR and PR sides by using their vertices and above formula:
[tex]PQ=\sqrt{(-13-(-5))^2+(-3-3)^2} =\sqrt{8^2+6^2}=10[/tex] [tex]QR=\sqrt{(-5-(-13))^2+(-9-(-3))^2} =\sqrt{8^2+6^2}=10[/tex] [tex]PR=\sqrt{(-5-(-5))^2+(-9-3)^2} =\sqrt{0^2+12^2}=12[/tex]For perimeter we add up the length of all of its sides:
[tex]Perimeter = PQ +QR + PR=10+10+12=32[/tex]Simplify each expression.
1) 7x - 9x
2) -2x - 7+ 8x - 10
3) 3 - 10x - 3-6x
4) 2m - 6+ m + 1
5) 10m - 8m
6) x - 4+x-5
7 4x + 5x
8) -x + 3 + 7x + 5
Answer:
1) -2x
2) 6x - 17
3) -16x
4) 3m - 5
5) 2m
6) 2x - 9
7) 9x
8) 6x + 8
Step-by-step explanation:
1) = x(7-9) = x(2) = 2x
2) x(-2+8) - 7 - 10 = x(6) - 17 = 6x - 17
3) x(-10-6) + 3 - 3 = x(-16) + 0 = 16x
4) m(2+1) - 6 + 1 = 3m - 5
5) m(10-8) = m(2) = 2m
6) x(1+1) - 5 - 4 = 2x - 9
7) x(4+5) = x(9) = 9x
8) x(7-1) + 3 + 5 = 6x + 8
Sinplify x+3x-36. 3x-36 3x²-36 4x-36 4x²-36
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{4x - 36}}}}[/tex]Step-by-step explanation:
[tex] \sf{x + 3x - 36}[/tex]
Here, we have to collect like terms.
_________________________________
▪️What do you mean by like terms ?
⇒Like terms are those which have the same base. While adding or subtracting like terms, we should add or subtract the coefficients of like terms.
_________________________________
Let's add the like terms :
Answer : 4x - 36
Hope I helped!
Best regards!
Find the area of the region between the curve y= 2ln(x) and the horizontal axis for 1<= x <= 4
Answer:
5.09 units
Step-by-step explanation:
Given equation
[tex]y=2\ln x=f(x)[/tex] in the interval [tex]1\le x\le 4[/tex]
So we integrate [tex]y[/tex] in the given interaval
[tex]\int f(x)=2\int\limits^4_1 {\ln x}dx[/tex]
Let us integrate [tex]\ln x[/tex] first.
let
[tex]u=\ln x, dv=dx[/tex]
[tex]du=\dfrac{1}{x}, v=x[/tex]
[tex]\int\ln x dx=udv[/tex]
Using integration by parts we get
[tex]uv-\int vdu[/tex]
[tex]=x\ln x-\int x\dfrac{1}{x}dx[/tex]
[tex]=x\ln x-dx[/tex]
[tex]=x\ln x-x+C[/tex]
So here
[tex]\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units[/tex]
The area of the the region between the curve and horizontal axis is 5.09 units.
Triangle ABC is a right triangle. The sides measure AB = 6 and BC = 8. Use the
Pythagorean theorem to find CA.
Answer:
AC = 10 units
Step-by-step explanation:
From the picture attached,
Triangle ABC is a right triangle.
Opposite side of the right angle B = Hypotenuse (AC)
and the other two legs are AB and BC
Pythagoras Theorem states
(hypotenuse)² = (leg 1)² + (leg 2)²
AC² = AB² + BC²
AC² = (6)² + (8)²
AC² = 36 + 64
AC² = 100
AC = √100
AC = 10
Therefore, length of the hypotenuse (AC) = 10 units will be the answer.
Simplify the expression to a polynomial in standard form:
(x + 3)(2x^2+ 3x + 7) PLEASEEE HELP ME WITH THISS
Answer:
[tex]2x^3+9x^2+16x+21[/tex]
Step-by-step explanation:
So we have the expression:
[tex](x+3)(2x^2+3x+7)[/tex]
Use the distribute property. Multiply each term on the right by (x+3):
[tex](2x^2)(x+3)+(3x)(x+3)+(7)(x+3)[/tex]
Distribute further:
[tex]=(2x^3+6x^2)+(3x^2+9x)+(7x+21)[/tex]
Combine like terms:
[tex]=(2x^3)+(6x^2+3x^2)+(9x+7x)+21\\=2x^3+9x^2+16x+21[/tex]
A polynomial in standard form has terms in descending order based on degree.
And we have that. Thus, we are done :)
Net to seller equals the ______ multiplied by the percent to seller.
I assumed you are referring to the Net (take away by the seller after removing their commissions).
Answer:
Selling price
Step-by-step explanation:
To determine what amount goes to the seller, we multiply the selling price of a commodity in question by the percentage (commissions) to the seller.
Note that the resulting amount is the value of the commission paid to the seller, the actual net is gotten by substracting the selling price from the commission paid.
4. Write these fractions in the simplest form.
6
_
9
Answer:
Given fraction is 6/9 .
→What does fractions in simplest form means?
Fractions are said to be in simplest form if the HCF of numerator and denominator is equal to 1 .→ How to convert?
We will find the HCF of numerator and denominator and we will divide the numerator and denominator by that number.Now HCF of 6 and 9 is 3.
→ 6/9 = 6÷3/9÷3 = 2/3.
Hence the required answer is 2/3.
Answer:
[tex]\Large \boxed{\displaystyle \frac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{6}{9}[/tex]
Factor out 3 from the numerator and denominator.
[tex]\displaystyle \frac{3(2)}{3(3)}[/tex]
Cancel the common factors.
[tex]\displaystyle \frac{2}{3}[/tex]
I need to name the type of special pairs of angles shown. Please and thank you
Answer:
WXY is an obtuse angle, YXZ is an acute angle, and WXZ is a straight line.
Step-by-step explanation:
WXY is greater than 90 degrees, YXZ is lesss than 90 degrees, and WXZ is a straight 180 degree line.
The required name for a special type of pair of angles shown is supplementary angles.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The figure, shown is pair of angles whose sum is equal to 180,
The by definitions of the angle where the sum is equal to 180° and adjacent angles are said to be supplymentary angles.
Thus, the required name for a special type of pair of angles shown is supplementary angles.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
Factorise:
( a²- 1) ( b²- 1) + 4ab
pls give a detailed explanation
pls answer it......
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{ a^2 b^2 + -a^2 + -b^2 + 1 + 4ab}[/tex]
Let's simplify step-by-step.
[tex]( a^2 - 1 ) ( b^2 -1) + 4ab[/tex]
Distribute:
[tex]=( a^2) (b^2) + (a^2) (-1) + ( -1) (b^2) + (-1) (-1) + 4ab[/tex]
[tex]= a^2 b^2 + -a^2 + -b^2 + 1 + 4ab[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
a²b² - a² - b² + 4ab + 1
Step-by-step explanation:
( a²- 1) ( b²- 1) + 4ab
(a²b² - a² - b² + 1) + 4ab
a²b² - a² - b² + 4ab + 1
Express the formula P=2L+2W in terms of the width,W. Use the formula to find the width when the perimeter is 70 and the length is 22.
Answer:
The width is 13Step-by-step explanation:
From the question
P=2L+2W
where
L is the length
W is the width
To make W the subject move 2L to the left side of the equation
That's
2W = P - 2L
Divide both sides of 2 to make W stand alone
We have
[tex]W = \frac{P - 2L}{2} [/tex]
when
P = 70
L = 22
W is
[tex]W = \frac{70 - 2(22)}{2} \\ W = \frac{70 - 44}{2} \\ W = \frac{26}{2} [/tex]
We have the final answer as
W = 13Hope this helps you
Answer:
Width W = 13
Step-by-step explanation:
P = 2L + 2W
if the perimeter P = 70
and Length L = 22
find the Width W
P = 2L + 2W
70 = 2(22) + 2W
70 - 44 = 2W
26 = 2W
W = 26 / 2
W = 13
therefore,
the Width W = 13
check:
P = 2L + 2W
70 = 2(22) + 2(13)
70 = 44 + 26
70 = 70 --- OK
The manufacturer wants to estimate the proportion of their cars that get over 100 mpg. Their sample of 30 indicates that 28% can obtain over 100 mpg. Construct a 95% confidence interval for the population proportion.
Answer:
The 95% confidence interval is [tex]0.1193 < p <0.4407[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]m = 30[/tex]
The sample proportion is [tex]\r p = 0.28[/tex]
Given that the confidence interval is 95% then the level of significance is mathematically represented as
[tex]\alpha = 100 - 95[/tex]
[tex]\alpha = 5\%[/tex]
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of the [tex]\frac{\alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{ \alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{ \alpha }{2} } * \sqrt{\frac{ ( \r p (1 - \r p ))}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{ (0.28 (1 - 0.28 ))}{ 30} }[/tex]
=> [tex]E = 0.1607[/tex]
The 95% confidence interval is
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.28 - 0.1607 < p < 0.28 + 0.1607[/tex]
=> [tex]0.1193 < p <0.4407[/tex]
Find the indicated angle measures. pls help i’m dyin lol
Answer:
utv = 24° wtx=113°
Step-by-step explanation:
I solved in the picture
hope this helps ^-^
3/8+1/8-1/6+1/4=? What is the answer? please!!!
Answer:
.58 repeating 3
Step-by-step explanation:
7/12=.58 repeating 3
Simplify the following expression and put in standard form:
(4x – 5x2) + (3x4 – 4x + 2) – (62° + 1)
Part of a regression output is provided below. Some of the information has been omitted.
Source of variation SS df MS F
Regression 3177.17 2 1588.6
Residual 17 17.717
Total 3478.36 19
The SS(Residual) is?
Answer:
301.189
Step-by-step explanation:
Given the table :
Source of Variation - - SS - - - df - - - MS - - - - F
Regression - - - - - -3177.17 - - -2 - - 1588.6
Residual - - - - - - - - ______ --17 - - -17.717
Total - - - - - - - - - - 3478.36 - - 19
Calculate the SSR, Sum of Square residual
The Sum of Square RESIDUAL (SSR), Mean Square Residual (MSR) and Degree of Freedom RESIDUAL (DFR) are related by the formular :
MSR = SSR / DFR
Hence,
SSR = MSR × DFR
Fr the table ;
MSR = 17.717 ; DFR = 17
SSR = (17.717 × 17)
SSR = 301.189
Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of 214 square feet. To the nearest tenth of a foot, how long can a side of his garden be?
Answer:
14.6 feet
Step-by-step explanation:
Let A be the area of a square and S be the length of one of its sides.
The area of a square is A = S². We know A = 214 in this problem, so:
214 = S²
√214 = S
S ≈ 14.629 ≈ 14.6 feet (to the nearest tenth of a foot)
need halp solving this step by step to further understand. please and thank you!
Answer:
w=6
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
4 3
----- = --------
8 w
4w = 3*8
4w = 24
Divide by 4
4w/4 = 24/4
w = 6
Answer:
As hard as this may seem, it's actually quite simple. Because these two figures are similar, their sides can be compared.
See how on the left side of both of the triangles the numbers are 4 and 8? This shows that the left triangle is twice as small as the right one, which means that if you multiply any of the sides of the triangle on the left by 2, you'll get the triangle on the right.
We can apply this to w. Look at the left triangle on the bottom and see how there is a 3. Well, we've already noticed how the triangle on the left just needs to be multiplied by 2 in order to get to the one on the right, so that's what we should do! When you multiply 3 by 2, you get 6 which is w.
So, long answer short, w is 6.
Max’s car holds 18 gallons of gasoline. Driving on the highway, the car uses approximately 2 gallons per hour. Let h represent the number of hours Max has been riding on the highway. Write an expression that shows how many gallons of gasoline Max has left after driving h hours. Then find that number after Max drives 3.5 hours on the highway.
Answer:
y=18 gallons
Step-by-step explanation:
You can multiply how many hours he's been driving by the 2 gallons and subtract it from 18
Answer:
11 gallons
18=-2h h=3.5
Step-by-step explanation:
-2(3.5)=18
18-7=11, he has 11 gallons of gas left
The force of gravity on Mars is different than on Earth. The function of the same situation on Mars would be represented by the parabolic function shown below. On which planet would the ball go the highest? On which planet would the ball take the longest to return to the ground? Explain your reasoning.
Answer:
If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.
Step-by-step explanation:
Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:
[tex]v=v_0+a\,*\,t\\y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2[/tex]
the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.
Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:
[tex]v=v_0+a\,*\,t\\0=v_0-g\,*\,t\\t=\frac{v_0}{t}[/tex]
When we use this to replace the 't" in the displacement formula, we et:
[tex]y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\\y-y_0=v_0\,(\frac{v_0}{g} )-\frac{g}{2} \,(\frac{v_0}{g} )^2\\y-y_0=\frac{1}{2} \frac{v_0^2}{g}[/tex]
This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)
And we can also answer the question about time, since given the same initial velocity [tex]v_0[/tex] , the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)
Zamba has found a little black dress on sale for 50% off the original price of $239.99. She also has a coupon offering free shipping and an additional 10% off of her entire online purchase. If she buys the dress and a pair of shoes costing $34.70, how much will she pay for her ensemble?
108.00
$139.23
$94.23
$104.70
Answer: $139.23
Step-by-step explanation: Take 50% of original dress price and add price of shoes. Subtract 10% of that.
find the midpoint of (-1, -5) and (-5, 9)
Answer:
(-3,-2) is the midpoint
Step-by-step explanation:
To find the midpoint
Add the x coordinates and divide by 2 to find the x coordinate of the midpoint
(-1+-5) /2 = -6/2 = -3
Add the y coordinates and divide by 2 to find the y coordinate of the midpoint
(-5+-9) /2 = -4/2 = -2
(-3,-2) is the midpoint
Step-by-step explanation:
To solve, we have to use the midpoint formula:
[tex]M=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2})[/tex]
Our points:
(-1, -5) (-5, 9)
Our x1 is -1, and our x2 is -5. Our y1 is -5, and our y2 is 9.
[tex]M=(\frac{-1+(-5) }{2} ,\frac{-5+9 }{2})[/tex]
[tex]M=(\frac{-6 }{2} ,\frac{4}{2})[/tex]
[tex]M=(-3 ,2)[/tex]
Answer: our midpoint: (-3, 2)
Find an equation for the plane y=4x in cylindrical coordinates. (Type theta for θ in your answer.)
Answer:
sinθ - 4cosθ = 0Step-by-step explanation:
Given the equation of a plane in rectangular coordinates to be y = 4x.
The cylindrical coordinates of the axis is as given below;
x = rcosθ
y = rsinθ
z = z
Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;
y = 4x
rsinθ = 4( rcosθ)
rsinθ = 4rcosθ
sinθ = 4cosθ
sinθ - 4cosθ = 0
Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0
The equation of the plane y=4x in cylindrical coordinates is, [tex]sin\theta-4cos\theta=0[/tex]
Equation of plane:To find the equation of plane in cylindrical coordinates,
We have to substitute ,
[tex]x=rcos\theta\\\\y=rsin\theta\\\\z=z[/tex]
Given equation of plane is, [tex]y=4x[/tex]
Substitute values in equation of plane.
[tex]rsin\theta=4(rcos\theta)\\\\sin\theta=4cos\theta\\\\sin\theta-4cos\theta=0[/tex]
Learn more about the equation of plane here:
https://brainly.com/question/8629643
The volume of a cube is 3,375 cubic inches. What is the measure of each side of the cube?
Answer:
l=w=h=15
Step-by-step explanation:
Volume of a cube= l*w*h
where l=w=h
[tex]l = {}^{3} \sqrt{ v} \: \: \: l = {}^{3} \sqrt{3375} = 15 [/tex]
15*15*15=3375
Hope this helps ;) ❤❤❤
The measure of each side of the cube will be 15 inches.
What is volume?The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. Volume is defined as the space occupied by an object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid
The cube has all the sides equal means that the length, width, and height of the cube will be the same. Let's suppose the length, width, and height of the cube is a.
The volume of a cube will be given by the formula:-
Volume = side³ = a³
a³ = 3375
a = ∛3375
a = ∛( 15 x 15 x 15 )
a = 15 cubic inches.
Therefore, the measure of each side of the cube will be 15 inches.
To know more about volume follow
https://brainly.com/question/35100
#SPJ5
Find the equation of the line passing through (0,5) with a slope of 2/3
Answer:
y= 2/3x +5
Step-by-step explanation:
(0,5) is the y intercept and the slope is 2/3 so we can use the y intercept form
y = mx+b where m is the slope and b is the y intercept
y= 2/3x +5
Answer:
y= 2/3x+5
Step-by-step explanation:
Okay, to write the equation of a line you need two values. The y intercept and the slope. The y intercept has an x coordinate of zero, and lucky us, the point you were given has an x coordinate of zero so that's done. You were also given the slope, so you don't have to calculate it. Anyways, the formula of a line is written in slope intercept form usually, so y=mx+b. Just fill in the gaps, m= the slope and b=the y intercept. The slope is 2/3, and the y intercept is 5. So, inserting in the variables you get y=2/3x+5.
Hope that helps!
In your gym class, your teacher can create teams of 4 for a
relay race and have no students left over. The next day, your
teacher creates teams of 5 for dodge ball and has no
students left over. What are some possible numbers of
students in your class?
Answer: 20, 40, 60, 80, 100,....
Step-by-step explanation:
Given that :
It is possible to create teams of 4 for a relay race with no student leftover
Also,
It is possible to create teams of 5 for dodgeball with no student left over from the same class
To deduce the possible number of students in the class, then the number of students should be a multiple of both 4 and 5
Multiples of 4 include = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100,....
Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100,....
Multiples common to both 4 and 5 : 20, 40, 60, 80, 100,....
sheila___ her case, look .( had picked,have picked , picked.)
Answer:
picked
Step-by-step explanation:
It is the only one that sounds correct.
Answer:
hi,
i think the answer can be picked
Step-by-step explanation:
picked is the answer
ILL GIVE YOU BRAINLIST !
b/2 - 1 as a verbal phrase
Answer:
b/2-1 has a verbal phrase can be one minus the quotient of b and 2.
Convert the decimal expansion of each of these integers to a binary expansion.
a) 321
b) 1023
c) 100632
Answer:
[tex]321_{10} = 101000001_{2}[/tex]
[tex]1023_{10} = 1111111111_2[/tex]
[tex]100632_{10} = 11000100100011000_{2}[/tex]
Step-by-step explanation:
Given
a) 321
b) 1023
c) 100632
Required
Convert to decimal
To convert each of these to binary, we have to divide the quotient by 2 and we take note of the remainder;
Solving (a)
321 / 2 = 160 R 1
160 / 2 = 80 R 0
80 / 2 = 40 R 0
40 / 2 = 20 R 0
20 / 2 = 10 R 0
10 / 2 = 5 R 0
5 / 2 = 2 R 1
2 / 2 = 1 R 0
1 / 2 = 0 R 1
Hence;
[tex]321_{10} = 101000001_{2}[/tex]
Solving (b)
1023 / 2 = 511 R 1
511 / 2 = 255 R 1
255 / 2 = 127 R 1
127 / 2 = 63 R 1
63 / 2 = 31 R 1
31 / 2 = 15 R 1
15 / 2 = 7 R 1
7 / 2 = 3 R 1
3 / 2 = 1 R 1
1 / 2 = 0 R 1
Hence;
[tex]1023_{10} = 1111111111_2[/tex]
Solving (c)
100632 / 2 = 50316 R 0
50316 / 2 = 25158 R 0
25158 / 2 = 12579 R 0
12579 / 2 = 6289 R 1
6289 / 2 = 3144 R 1
3144 / 2 = 1572 R 0
1572 / 2 = 786 R 0
786 / 2 = 393 R 0
393 / 2 = 196 R 1
196 / 2 = 98 R 0
98 / 2 = 49 R 0
49 / 2 = 24 R 1
24 / 2 = 12 R 0
12 / 2 = 6 R 0
6 / 2 = 3 R 0
3 / 2 = 1 R 1
1 / 2 = 0 R 1
Hence;
[tex]100632_{10} = 11000100100011000_{2}[/tex]
write an expression for each sentence
1. The sum of the square of a number and a second number.
2. Three times the difference of a number and seven.
3. 9.85 less then the product of 37 and a number.
Answer:
x^2+y3(n-7)37x-9.85Step-by-step explanation:
1. If x represents a number, then x^2 represents its square. If y represents a second number, then the sum of that square and the second number is ...
x^2 + y
__
2. The difference of a number (n) and 7 is (n-7). Three times that difference is ...
3(n - 7)
__
3. If x represents a number, then the product of 37 and a number is 37x. 9.85 less than that is ...
37x - 9.85