Mathematics High School

ill give brainliest
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 6 units long. Point C is on the line x = −3. If the area of ΔABC is 9 square units, then find a possible y-coordinate of point C.
5
6
7
8

Answers

Answer 1

Answer:

y-coordinate is 5 or -1.

Step-by-step explanation:

Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2  and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).

Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).

The area of ΔABC is 6. So,

9 = 1/2 (b)(h)

where b is the base and h is the height.

so b = 6 and h = AC

Solving this for C gives

9 = 1/2 (6)(AC)

18/6 = AC

3 = AC

9 = 1/2 (6)(AC)

18/6 = AC

3 = AC

Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.

If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.

Therefore, y-coordinate is 5 or -1.

Step-by-step explanation:

Related Questions

NG
1. An exterior angle of a triangle has a measure of 68º. Which of the following could not be the measure of
one of its remote interior angles?

Answers

Answer:

(4) 71°

Step-by-step explanation:

The sum of remote interior angles is equal to the sum of exterior angle.

The angle that could not be the measure of  one of its remote interior angles is 71 degrees

First, we must understand that any interior angle of a triangle cannot be greater than its exterior angle.

The correct value in the given option will be any angle that is greater than 68 degrees.

From the given options, we can see that the only angle that is greater than 68 degrees is 71 degrees.

Hence the angle that could not be the measure of  one of its remote interior angles is 71 degrees

Learn more here: https://brainly.com/question/24231058

Simplify the radical √75 and explain how you got the answer :) please!

Answers

Answer:

8.6

Step-by-step explanation:

What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?

Answers

Answer:

A

Step-by-step explanation:

Solve for x.
4 + 2x = 10

Answers

Answer:

The answer is 3

Hope this helps!

Write the number 68,127,000,000,000,000 in scientific notation.

Answers

The answer to this question is 6.8 x 10^16.

Answer:

[tex]6.8127[/tex] × [tex]10^{16}[/tex]  

I hope this helps!

What is the
proprtion?​

Answers

In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant; that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.

Janice is redecorating her room. She wants to paint a design on a rectangular section of her wall that is at least 76.5 square feet. The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall? PLEASE HELP!!

Answers

Answer:

9 feet

Hope this helps

Answer:

9 feet

Step-by-step explanation:

I = 9 feet ~ C

3 divided by 2/5

A. 7
B. 7 1/5
C. 7 1/2
D. 8

Answers

The answeris (71/5)..

Answer:

C

Step-by-step explanation:

3 divided by 2/5 will become 3 times 5/2

multiply the numerator so 15

and the denominator is 2

15/2 is 7.5

so 7 and 1/2

so your answer is C

What are the answers

Answers

Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)

x= 7
what does the following expression equal:
3+6x-12x+14

Answers

Answer:

-25

Given:

x=7

Step-by-step explanation:

3+6x-12x+14

⇒ 3 + 6(7) - 12(7) + 14

⇒ 3 + 42 - 84 + 14

⇒ 45 - 84 + 14

⇒ -39 + 14

⇒ -25

hope you understood!

3+42-84+14=
Work from left to right
45-84+14=
-39+14=
ANSWER: -25

Pls help me asap!!!!

Answers

I believe that it is C, mind you I could’ve got it wrong. It’s been awhile since I’ve done that kind of math.

PLS HELP FAST WITH THIS QUESTION ​

Answers

I think 13 because 5 diveded by 65 is13 so if u times that by 1 it’s 13

What is the solution to this system of equations?
x+y= 6
x=y+4

Answers

Answer:

5,1

Step-by-step explanation:

mark brain if right

Answer: (5,1)
x=5
y=1

Solving Steps:

can someone help me answer this question please?

Answers

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Two parallel lines are crossed by a traversal. What is the value of b?
b=32
b=52
b=118
b=128

Answers

Answer:

b = 128 answers it is alternate angle

Answer:

C). b=118

Step-by-step explanation:

took the test on edge


What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form

Answers

Answer:-3

Step-by-step explanation:

plzzzzz hurry i'm running out of time
The tree in Shen's backyard is 8.2 m high. How high is it in centimeters?
Be sure to include the correct unit in your answer.

Answers

Answer:

820 cm

Step-by-step explanation:

Since one meter is 100 cm, 8.2*100 is 820

Answer: 820

Step-by-step explanation:

1 meter is 100 centimeters

1 meter is 100 centimeters, 8.2 meters are 820 centimeters.

What is the interval?

Answers

I think it’s [-1, 4]

If b(x) = -2(x​​-50), what is the value of b(20)?

Answers

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

HELP PLZZZZZZZZZZ ITS DUE NOW

Answers

Answer:

yes its a right trinagle

Step-by-step explanation:

well first it has a right corner which is a right angle you can tell by putting your hand like a L

If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4

Answers

Answer:

B. [tex]s=\dfrac{1}{4}\times420[/tex]

Step-by-step explanation:

Total number of students surveyed = 420

Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]

The number of students that prefer rap is 105

So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].

I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.

Answers

A, C and D because the angles are named in order. Q=T R=U and so on

Complete the work to solve for y:

What is the value for y?

Answers

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

quadrilateral ABCD is a parallelogram A(-3,-2) B(-1,2) C(1,1) D(-1,-3)

Answers

Okay

Step-by-step explanation:

Find the slope and the y-intercept of the line.
y = 8x - 1

Answers

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

I’ll give the Brainliest to who answers this question with a reasonable explanation.

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

A) Buying 8 oz for $3.47 is the better buy.

B) Buying 6.2 oz for $2.97 is the better buy.

Thank you!

Answers

B- because you only get 1.8 ounces more than the 6.2 for 50c which if you divid 2.97 and 6.2 its less than 50c.
Not sure if its right-

Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Credit card balance = $34

Amount of sandwich purchased = $40

The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.

Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40

Hence; new card balance :

(Intial card balance + cost of sandwich)

$34 + $40 = $74


During an 8-hour shift, Sophia can make
24 sweaters.

Answers

Answer:

so what can we do for Sophia???

LOL

Step-by-step explanation:


Find the slope and the y-intercept of the line.
6x+2y=-2

Answers

Answer:

Slope: -3

Y Intercept: (0,-1)

Step-by-step explanation:

Answer:

slope -3

y = 0,-1

Step-by-step explanation:

2. through: (8,5), perpendicular to y=-1/2x +4

Answers

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11
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