9514 1404 393
Answer:
8. 4 +2q²/p² -4r/p +r²/p²
9. (x, y) = (3/4, -17/8)
Step-by-step explanation:
All of these questions are asking you to make use of the fact that ...
α + β = -q/p
αβ = r/p
__
8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²
= 4 +2((α+β)² -2αβ) +(αβ)²
Substituting the above for the sum and product, you have ...
= 4 + 2((-q/p)² -2(r/p)) +(r/p)²
= 4 +2q²/p² -4r/p +r²/p²
__
9. This is asking for the vertex of the parabola. The x-coordinate is ...
x=-b/(2a) = -(-3)/(2(2) = 3/4
Then the y-coordinate is ...
y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8
The (x, y) values of interest are (3/4, -17/8).
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim's head to the furthest tip of the shadow is 13 feet. A right triangle with side length 6 feet, s, and hypotenuse 13 feet. [Not drawn to scale] What is the length of Fahim's shadow? Round to the nearest tenth of a foot. 7.0 feet 8.5 feet 11.5 feet 14.3 feet
Answer: 11.5 feet
Step-by-step explanation:
We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:
Let the length of Fahims shadow be x
hypotenuse² = opposite² + adjacent ²
13² = 6² + x²
169 = 36 + x²
x² = 169 - 36
x² = 133
x =✓133
x = 11.53
= 11.5 feet to nearest tenth
Answer:
11.5 feet
Step-by-step explanation:
Fahim been drinkin up on tht pediasure ain he.
There are 4 triangles and 20 squares what is the simplest ratio of triangles to squares
Don't answer if u don't know or I will report ,.,.43/2*487
Answer:
10470.5
Step-by-step explanation:
10470.5. from my aunt
Slice the proportion below: m/5=28/20
Answer:
m = 7
Step-by-step explanation:
Given
[tex]\frac{m}{5}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20m = 140 ( divide both sides by 20 )
m = 7
Parker offers to pay for 5 of his friends to play laser tag,
but 3 of them don't want
to play.
If laser tag costs $6 per person, how much will Parker spend on his friends?
Choose the correct expression and solution to this problem.
O A. The expression is 5(6 - 3).
Answer:
12(18-6)
Step-by-step explanation:
Answer:$12 — 6(5-3)
Step-by-step explanation:
It’s pretty straight forward. We know that he only needs to pay for 2 of his 5 friends (5-3). Then it costs $6 per person, and there are two people. 6x2=$12
The baker can make 28 cakes
in 7 days. How many cakes can
the baker make in 5 days?
Answer:
20 cakes
Step-by-step explanation:
28/7=4 cakes per day
4x5= 20
20 cakes in 5 days
Hope it helps :)
Answer:
20 cakes in 5 days
Step-by-step explanation:
To find this, we need to find out how much he can make in 1 day.
So divide 7 by 7 and 28 by 7 and get 4 cakes in 1 day.
After we got 4 cakes each day, we multiply it by 5 to see how much we get in 5 days and get 20 cakes in 5 days.
Hope this helps! PLEASE mark brainliest!
given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.
(-4,1);m=-2/3
Answer:
y=[tex]-\frac{2}{3}[/tex]x[tex]-\frac{5}{3}[/tex]
Step-by-step explanation:
y=mx+c
y= [tex]-\frac{2}{3}[/tex]x+c
substitute (-4;1)
1=-[tex]-\frac{2}{3}[/tex](-4) +c
1-[tex]\frac{8}{3}[/tex]=c
c=[tex]-\frac{5}{3}[/tex]
Answer:
Step-by-step explanation:
answer on edmentum
Which representation does not show y as a function of x?
Answer:
The letter j because the points have to be functioned as a straight line
Combining like terms of 8x - 7x + 5 - 9x + 3, simplifies the expression to:
Answer:
-8x+8
Step-by-step explanation:
8x-7x=x-9x=-8x
5+3=8
What is the measures of Angle TVX?
40°
U
V
Oь
oc
130 Degrees
115 Degrees
125 Degrees
120 Degrees
Please help me out!
classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinitely many solutions.
The equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation as -
6x + 12 = 5x + 35
Assume that -
6x + 12 = 5x + 35 = y
y = 6x + 12
y = 5x + 35
Graph the equations. The points of intersection would be the solutions.
Therefore, the equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ2
Find the value of x in the figure given that SU = 133.
A) 7
B) 9
C) 11
D) 8
Answer:
The answer is 9 (B)
Step-by-step explanation:
I got 9 because you have to plug in answer (7, 9, 11, 8) in each equation than add them both together. I first plugged in 7 for x in the equation 9x-5. I got 58. I plugged in 7 for x in the equation 5x+12 and got 47. When I added both the answers together I got 105. The answer was to low because SU has to be 133. I plugged in 9 for x in both equations then added them both and got 133 for SU. I hope this helps.
Answer:
B
Step-by-step explanation:
Sharon paid $78 on sales tax. The sales tax rate is 6.5%, what was the cost of the camera?
Please help, I've been trying for an hour now my assignment is past due.
Answer:
Multiply $78 * 0.065 which equals = 5.07
So $78 + 5.07 equals 83.07
Step-by-step explanation:
hello i really need ur help
Answer:
y=2x+-6
Step-by-step explanation:
Answer:
y=2x-4
Step-by-step explanation:
Goes up 2y for every one x and the y intercept is -4.
the number -2 is a dolution to which of the following inequalities
Answer:
Step-by-step explanation:
We need the choices please.
I need helping figuring out the volumes for these questions.
well, for future reference. you mutiply length x width x height to get the volume.
1. 315
2. 1,152
3. 90
4. 700
5. 294
6. 847
7. 1,331
8. 672
Can someone help me, please!!!
Answer:
D
The line shows an intercept of -3 and a slope of 5/7. Equation D displays this
Step-by-step explanation:
HELP PLEASE I NEED ALL 5 of these done by thanksgiving
Answer:
1a) 75 degrees
1b) 105 degrees
1c) 75 degrees
1d) 105 degrees
Slope of AC: -1.5x
Slope of XY: -2/3x
Neither: Why? The slope of AC and XY are not the same, so they are not parallel. They are not perpendicular either because being perpendicular means that the slopes must be the negative reciprocal, which it is not.
Step-by-step explanation:
What is the sum of the expression (8 − 4i) + (−2 + 7i)?
Answer:
Your answer is: [tex]6+3i[/tex]
Simplify by combining the real and imaginary parts of each expression.
Step-by-step explanation:
Hope this helped : )
Olivia took out 8 glasses and poured juice from the pitcher. The capacity of each
glass is 3/10 liter. If there was enough juice for 6 glasses, how much juice was
there?
1.8 Liters
olivia took out 8 glasses and poured juice from the pitcher.
The capacity of each glass is 3/10 liter.
If there was enough juice for 6 glasses.
This means that the amount of juice will be the total quantity of juice poured in 6 glasses.
Since, capacity of 1 glass= 3/10 liters=0.3 liters
Capacity of 6 glasses= 6×0.3=1.8 liters.
John bought 8 bottles of 1.5 liters of coke and 7 bottles of 2 liters of juice for his birthday party. How many more liters of juice than coke did he buy?
Answer:
2 more liters of juice
Step-by-step explanation:
John bought a total of 12 liters of coke and a total of 14 liters of juice.
As a result, 14 - 12 = 2
He bought two more liters of juice than coke!
Hope this helps! Smiles and hugs,
SlytherinWolf
P.S. I hope your day gets better, you totally deserve it. ☺
Answer:
2 Liters
Step-by-step explanation:
1. Multiply 1.5 times 8.
1.5 x 8 = 12 L
2. Multiply 7 times 2.
7 x 2 = 14 L
3. Subtract the amount of coke from the amount of juice.
14 - 12 = 2 L
2 LITERS MORE
hope this helps, let me know if you have any questions! <3
A contractor charges $50 for a service call
plus $60 per hour for his work. How long will
he have to work to earn $350?
Answer:
5 5/6 hours
Step-by-step explanation:
Answer:
5 5/6 hours
Step-by-step explanation:
ugrent plsss i will mark branislestt plss answer this
Answer:
Rs. 440
Explanation:
Tax= 400/100×10%
= Rs. 40
Total amount= 400+40
= Rs. 440
Answer:
cost is 400
Step-by-step explanation:
10/100×40
=10×4
=40
now total amount =400+40
=440
Find Percent of a Number - Instruction Level
During a basketball game, DeShawn made 24 baskets out of 30 shots. Cody made 18 baskets
out of 20 shots. Who made a greater percent of their shots?
) What percent of his shots did DeShawn make?
Answer:
1. Cody made a greater percentage (i.e 90%) of his shots
2. Deshown made 80% of his shots
Step-by-step explanation:
To know who have a higher percentage, let us calculate their individual percentage. This is illustrated below:
For Deshown,
He made 24 baskets out of 30 shots.
The percentage of shot made = 24/30 x 100 = 80%
For Cody,
He made 18 baskets
out of 20 shots
Step-by-step explanation:
what is the decimal multiplier to decrease by 32%
Answer:
0.68
Step-by-step explanation:
What is the y-intercept from the following ordered pairs? (-2,0)(0,4)(2,8)(4,12)
Answer: y intercept = 4
The y intercept always occurs when x = 0. This is the location where the graph crosses the y axis. From the list of points, we see that (0,4) is the location of the y intercept. We can say the y intercept is 4.
is -45 an integer?
Answer:
Yes
Step-by-step explanation:
An interger cannot have a fraction or decimal. It can be negative and positive.
Answer:
yes!
Step-by-step explanation:
An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Unlike floating point numbers, integers cannot have decimal places. Integers are a commonly used data type in computer programming.
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
ill give you brainleiesr i cant spell hurry on toimerTen members of Balin’s soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below.
StartFraction 5 Over 6 EndFraction divided by 10
Which expression is equivalent to Balin’s expression?
StartFraction 10 Over 12 EndFraction divided by 10
StartFraction 10 Over 6 EndFraction divided by 5
StartFraction 6 Over 5 EndFraction times 10
StartFraction 5 Over 6 EndFraction times 10
Answer:
A
Step-by-step explanation:
The answer is a trust me man ik ur timed so no time for xplains