Answer:
We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x
1
,y
1
) and B(x
2
,y
2
) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates
P=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x
2
,y
2
) in the ratio 3:2, then using section formula we get,
C=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
⇒(1,1)=(
3+2
3x
2
+(2×−2)
,
3+2
3y
2
+(2×7)
)
⇒(1,1)=(
5
3x
2
−4
,
5
3y
2
+14
)
⇒1=
5
3x
2
−4
,1=
5
3y
2
+14
⇒5=3x
2
−4,5=3y
2
+14
⇒3x
2
=5+4,3y
2
=5−14
⇒3x
2
=9,3y
2
=−9
⇒x
2
=
3
9
,y
2
=−
3
9
⇒x
2
=3,y
2
=−3
Hence, the point B(x
2
,y
2
) is B(3,−3).
Which of the following statements would not translate to the equation 8 ÷ x = -4?
Answer:
The solution of a number divides by 8 equals to 4.
Step-by-step explanation:
This statement does not match with the condition discussed above.
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
a3 - 7+ b
When a = 2 and b =
–4, the value of the expression is?
Answer:-3
Step-by-step explanation:
2^3-7+-4=-3
8-7=1+-4=-3
The value of expression is -3
Expression based information:Given that;
a³ -7 + b
a = 2
b = -4
Find:
The value of expression
Computation:
The value of expression = a³ -7 + b
The value of expression = 2³ -7 + (-4)
The value of expression = 8 - 7 - 4
The value of expression = -3
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The following expression is a perfect square. Find the third term.
49y2 + 42y+
Answer:
+ 9
Step-by-step explanation:
Given the expression is a perfect square of the form
(ay + b)² = a²y² + 2aby + b² = 49y² + 42y +
Comparing coefficients of like terms
a² = 49 ( take the square root of both sides )
a = [tex]\sqrt{49}[/tex] = 7
2ab = 42 ( divide both sides by 2 )
ab = 21 , then
7b = 21 ( divide both sides by 7 )
b = 3, thus
b² = 3² = 9
Hence
49y² + 42y + 9 = (7y + 3)²
The graphs of functions f(x) and g(x) = f(x) + k are shown below:
What is the value of k?
Answer:
k = 4
Step-by-step explanation:
k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).
2 - (-2) = 4
Hope that helps! :D
Plz help is the statements true or false
========================================================
Explanations:
------------------------------
Part (a)
Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.
Put another way: (distance from X to Y) = (distance from X' to Y)
So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.
------------------------------
Part (b)
As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.
------------------------------
Part (c)
Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'
Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.
------------------------------
Part (d)
This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.
------------------------------
Part (e)
This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.
Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter and continues putting this number of chickens in each shelter until she comes to the last one. How many chickens will Mrs. Johnson put in the last shelter? answers: 3,4,13,14
Answer:
3
Step-by-step explanation:
159-12=147-12=... keep going until you get to
15-12=3
A fruit basket contains 4 red apples and 3 green apples. What is the ratio of the number of green apples to the number of red apples?
Answer:
3:4
Step-by-step explanation:
Answer:
3:4
Step-by-step explanation:
Factor the linear expression 15x – 10 using the greatest common factor of the terms.
A. 5(3x + 2)
B. 5(3x – 10)
C. 15(x – 2)
D. 5(3x – 2)
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Solutions:
A. 5(3x + 2)
= 15x+10
B. 5(3x – 10)
= 15x-50
C. 15(x – 2)
= 15x-30
D. 5(3x – 2)
=15x-10
Answer:
D
Step-by-step explanation:
The local pizza place has 3 pizzas for $33 on their regular menu. You got a 15%
off coupon in the mail. If you use the coupon, how much will your 3 pizzas cost?
Please fast
Answer:
dewdwdwwwdddddd
Step-by-step explanation:
f youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Answer:
$28.05
Step-by-step explanation:
Simple Math
If sin X = .342, then x=?
Answer:
Step-by-step explanation:
sinx=.342
then x is just so simple
[tex]x=sin^{-1} (.342)\\\\[/tex]
put that in a calculator or something
solve for x. round to the nearest hundreths.
Answer:
x ≈ 8.57
Step-by-step explanation:
The ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{8}{6}[/tex] = [tex]\frac{20-x}{x}[/tex] ( cross- multiply )
8x = 6(20 - x) , distribute
8x = 120 - 6x ( add 6x to both sides )
14x = 120 ( divide both sides by 14 )
x ≈ 8.57 ( to the nearest hundredth )
I will give brainliest!!!
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract a quantity to/from only one side
(Choice B) Add/subtract the same quantity to/from both sides
(Choice C) Rewrite one side (or both) using the distributive property
(Choice D) Rewrite one side (or both) by combining like terms
Answer:
ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE
And part 2: is No
Step-by-step explanation:
Rebecca works as a dog walker and a tutor. She
earns $20 per hour as a dog walker and $25 per
hour as a tutor. Last week, Rebecca worked both
jobs for a total of 30 hours and earned a total of
$690.
How long did Rebecca work as a dog walker,
and how long did she work as a tutor?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
what is 1+1
jwjeb dhjajwej
Answer:
2
Step-by-step explanation:
Really doesnt need more explanation
What is the simplified version of -4(8r + 3)
Answer:
-8-3
Step-by-step explanation:
-4(8r+3)
-32r-12
divide both sides by 4
-8-3
Answer:
-8-3
Step-by-step explanation:
Greg ran 12 miles a day on 18 different days last month. How many miles did he run?
54 miles
196 miles
206 miles
216 miles
can someone please help with with this question
Answer:
Try asking your teacher for some help, so he/she can explain it more to you if you don't understand
Step-by-step explanation:
Jamie ran a total distance of 6 and 1 over 2 miles during the months of March and April. If Jamie only ran 1 over 6 mile every day, how many days did she go running?
Given:
Total distance covered by Jamie = [tex]6\dfrac{1}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
To find:
The number of days in which she go for running.
Solution:
Total distance covered by Jamie [tex]=6\dfrac{1}{2}[/tex] miles
[tex]=\dfrac{6\times 2+1}{2}[/tex] miles
[tex]=\dfrac{12+1}{2}[/tex] miles
[tex]=\dfrac{13}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
Now,
[tex]\text{Required number of days}=\dfrac{\text{Total distance covered}}{\text{Distance covered each day}}[/tex]
[tex]\text{Required number of days}=\dfrac{\dfrac{13}{2}}{\dfrac{1}{6}}[/tex]
[tex]\text{Required number of days}=\dfrac{13}{2}\times \dfrac{6}{1}[/tex]
[tex]\text{Required number of days}=39[/tex]
Therefore, the required number of days is 39.
25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. How fast did he ride in miles per minute?
Answer:
The speed is 2/9 miles per minute
Step-by-step explanation:
Speed is defined as the distance covered per unit time.
The formula for speed is given by:
[tex]Speed = \frac{distance}{time}[/tex]
Let s be the speed, d be the distance and t be the time then
[tex]s = \frac{d}{t}[/tex]
Given
[tex]d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes[/tex]
The speed will be calculated by dividing the number of miles by minutes
So putting the values in the formula
[tex]s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}[/tex]
Hence,
The speed is 2/9 miles per minute
What is the relationship between <1 and <7?
Answer:
like 45 plus 45 to get 90 and that is how it is the same
of the 180 players who signed up for basketball, 135 are girls. What percent (%) of the players who signed up for basketball are girls?
The percentage of the girl's players who signed up is 75%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of players = 180
Number of girls players = 135
The percentage of girls players.
= 135/180 x 100
= 75%
Thus,
The percentage of girls players is 75%.
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someone help what is the answer to all i will give brainliest to best answer
6th gradw math
Answer:
The first one
Step-by-step explanation:
1. 36/-3 = -12
2.-4-(-16) =12
3.(-3)(-4) = 12
4.21+ (-9) = 12
The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.
Let me know if you need further detail for them :)
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x+2y 16 y=x-4 A (62) B (2,-2) C. (6, -2) D. (2, 2)
Answer:
A
Step-by-step explanation:
[tex]2x + y = 16 \\[/tex]
[tex]y = x - 4[/tex]
as y is given, u just need to substitue y's value into 2x+y=16
then u can solve it
Caroline bakes cookies in batches of 24. If she bakes 3 batches of cookies per week, how many weeks would it take her to bake 2,088 cookies?
Answer: 29 weeks
Step-by-step explanation:
From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:
= 24 × 3
= 72 cookies
The number of weeks that would take her to bake 2,088 cookies will be:
= 2088 / 72
= 29 weeks
Plssss help I’m quite stuck on this question
Answer:
101010101101001110101010101011010101010101010101010101010101001 trumps suck
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given points.
Answer: y= -3x + 2
Step-by-step explanation:
y=mx+b
m= y2-y1 / x2-x1 = -1 - 5 / 1 - (-1)= -6/2 = -3
y=-3x+b
pick a point and solve for b by plugging in the x and y values of that point.
y=-3x+2
Clive and Erica both have part-time jobs where they get paid by the hour. Erica makes more than Clive. The number of dollars, dd, Clive makes in hh hours can be modeled by the equation d=9.5hd=9.5h.
Erica created a graph, with the number of hours she works along the xx-axis and the number of dollars she makes along the yy-axis. Her graph is a line with a slope of 99 and a yy-intercept is 00. Which is a true statement?
Missing Options:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5.
C. Erica's graph is correct, because the slope should be less than 9.5.
D. Erica's graph is correct, because the y–intercept should be less than 9.5.
Answer:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
Step-by-step explanation:
Given
Clive:
[tex]d = 9.5h[/tex]
Erica:
[tex]m = 9[/tex] --- slope
[tex]b =0[/tex] --- y intercept
First, we need to determine the equation of Erica's earnings using
[tex]d = mh + b[/tex]
Where
m = slope = 9
b = y intercept = 0
So, the equation becomes
[tex]d = 9 * h + 0[/tex]
[tex]d = 9h + 0[/tex]
[tex]d = 9h[/tex]
This implies that Erica earns 9 dollars per hour
For Clive:
[tex]d = 9.5h[/tex]
This means that Clive earns 9.5 dollars per hour
From the question, we understand that Erica earns more than Clive.
So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.
When the slope is greater than 9.5, then she earns more than Clive.
Which triples are Pythagorean triples? (select all the correct answers)
-(8,15,17)
-(1,square root of 3,2)
-(9,12,16)
-(8,11,14)
-(20,21,29)
-(30,40,50)
Answer:
Step-by-step explanation:
(1) Yes
Answer:
(8, 15, 17) (20, 21, 29) (30, 40, 50)
Step-by-step explanation:
I got it correct on my assignment
In triangle ABC, the measure of angle A is 90°. The length of AB is 1 unit. The length of AC is 8 units. Find the length of BC.
Given:
In triangle ABC, [tex]\angle A=90^\circ, AB=1\text{ units}, AC=8\text{ units}[/tex].
To find:
The length of BC.
Solution:
Pythagoras Theorem : In a right angled triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
In triangle ABC, angle A is right angle, so BC is hypotenuse.
Using Pythagoras theorem, we get
[tex]BC^2=AC^2+AB^2[/tex]
[tex]BC^2=(8)^2+(1)^2[/tex]
[tex]BC^2=64+1[/tex]
[tex]BC^2=65[/tex]
Taking square root on both sides.
[tex]BC=\pm\sqrt{65}[/tex]
But side cannot be negative, so [tex]BC=\sqrt{65}[/tex].
Therefore, the length of BC is [tex]\sqrt{65}\text{ units}.[/tex]
Using the Pythagorean Theorem, the length of BC is: 8.1 units.
Recall:
Pythagorean Theorem holds true when solving a right triangle that has side c as hypotenuse and side a and b as the other legs, thus: c² = a² + b².
Triangle ABC is shown in the diagram below, where:
m∠A = 90°AB = 1 unit = aAC = 8 units = bBC = ? = c (hypotenuse)Applying the Pythagorean Theorem, the length of BC is solved as follows:
BC = √(1² + 8²)
BC = 8.1 units
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32a + 28 = 0
(Factor completely.)
Answer: 0.875
Step-by-step explanation: