Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = -1. If the area of triangle ABC is 6 square units, then find a possible y-coordinate of point C. Options: 5 6 7 8

Answers

Answer 1

Answer:

The possible y-coordinate of point C is 6

Step-by-step explanation:

The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.

Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.

The area of a triangle = 1/2 × base × height

6 = 1/2 × 3 × height

height = (2 × 6) / 3 = 4 units

Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2

The coordinate of point C is either (-1, 6) or (-1, -2)

Answer 2

The coordinate of point C is either (-1, 6) or (-1, -2)

Area of triangles and coordinates

The formula for calculating the area of a rectangle is expressed as;

A = 0.5bh

where:

b is the base of the triangleh is the height of the triangle;

Get the height of the triagle:

6 = 0.5(3)h

6 = 1.5h

h = 6/1.5

h = 4 units

Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2

Hence the coordinate of point C is either (-1, 6) or (-1, -2)

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Related Questions

I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak is 0.8 meters high. I would like a 2nd floor or loft to increase the storage space. Please calculate the total amount of storage.

Answers

Answer:

18.2 cubic meters.

Step-by-step explanation:

From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.

The volume would be:

V = height * width * length

According to the statement height = 2, width = 2 and length = 3.25

V = 2 * 2 * 3.25

V = 13

That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:

V = 2.8 * 2 * 3.25

V = 18.2

That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.

Express 192 as the product of its prime factors write the prime factors in ascending order.

Answers

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Use the fraction bar interactive tool to find the lowest common denominator before subtracting 2 3 from 5 6 . What is the lowest common denominator? Rewrite the difference as a sum of the fractions using the lowest common denominator. What is the answer?

Answers

Answer:

What is the lowest common denominator?

✔ 6

Rewrite the difference as a sum of the fractions using the lowest common denominator.

✔ 5/6 + (–4/6)

What is the answer?

✔ 1/6

Step-by-step explanation:

Fractions can be combined by taking their LCMs

The lowest common denominator is 6The new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]

The numbers are given as:

[tex]\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}[/tex]

The denominators are 3 and 6.

Factor both numbers;

[tex]\mathbf{3 = 1\times 3}[/tex]

[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]

So, the LCM is:

[tex]\mathbf{LCM = 1 \times 2 \times 3}[/tex]

[tex]\mathbf{LCM = 6}[/tex]

The lowest common denominator is 6

The expression is represented as:

[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}[/tex]

Rewrite as:

[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}[/tex]

Hence, the new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]

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PLEASE HELP!!!!! Chloe stops for lunch in a town that has no meal tax. She has $20 and tips 15%. Select all the prices of meals she could buy. $18.50 $16.25 $15.75 $17.45 $15.95

Answers

Answer:

$16.25 $15.95 $15.75

Step-by-step explanation:

because a 15% tip is $3.00

4y+2x=-7, solve for y, with proper steps. I WILL GIVE BRAINLIEST.

Answers

Answer:

4y = -7-2x

y = -7-2x/4

now give suitable value for x (Example 3)

Answer:

[tex]y=-\frac{1}{2} x-\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]4y+2x=-7[/tex]

Subtract [tex]2x[/tex] from both sides of the equation.

[tex]4y+2x-2x=-7-2x[/tex]

[tex]4y=-7-2x[/tex]

Divide by 4 on both sides of the equation.

[tex]\frac{4y}{4} =\frac{-7-2x}{4}[/tex]

[tex]y=\frac{-2x-7}{4}[/tex]

Simplify the equation.

[tex]y=-\frac{1}{2} x-\frac{7}{4}[/tex]

POSSIBLE POINTS 100
A bank pays 3% annual simple interest on CDs (certificates of deposit) of $25,000. The Branson family
invests in 3 of the $25,000 CDs. How much interest does the family make in one year?
O A $22.50
OB $22,500.00
OC $2,250.00
OD $225.00

Answers

Answer:

Total interest in 1 year = $2,250

Step-by-step explanation:

Given:

Rate of simple interest = 3% = 0.03

Amount of investment = $25,000

Number of investment = 3

Find:

Total interest in 1 year .

Computation:

Simple interest = Amount of investment × Rate of simple interest

Simple interest = $25,000 × 0.03

Simple interest = $750

Total interest in 1 year = Simple interest × Number of investment

Total interest in 1 year = $750 × 3

Total interest in 1 year = $2,250

What is the slope of the line through (-4,2)(−4,2)left parenthesis, minus, 4, comma, 2, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis?

Answers

Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

We are required to determine the slope of the line through the points given.

The slope, m of the line is given mathematically as;

m = (y2 -y1)/(x2 - x1)

Therefore, in this case;

Slope, m = (-3 - 2)/(3 -(-4))

Slope, m = -5/7

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Please do 69 and 70 quick please

Answers

I just have the answer of the 70.

it is 10560

Answer:

69 is 1/3 and 70 is 10560

Step-by-step explanation:

The height of a square pyramid is one half the length of each side. The volume of the pyramid is 2,304 in.3. What is the height of the pyramid?

Answers

Answer:

Step-by-step explanation:

by making the length an inequality x height will be 1.5x

Volume=1/3BA xh

X×X×1.5X 1/3=2304

0.5x3=2304

X³=2304÷0.5

X³=4608

X=³√4608

X=16.64cm

H=16.64x1.5=24.96cm

The height of the square pyramid is equal to 24.96 cm.

What is a square pyramid?

A square pyramid in geometry is a pyramid with a square base. A right square pyramid is one in which the peak is perpendicular to and above the square's centre.

Given that the height of a square pyramid is one-half the length of each side. The volume of the pyramid is 2,304 cubic inches.

The height of the square pyramid will be calculated as,

Volume=1/3BA xh

X×X×1.5X 1/3=2304

0.5x3=2304

X³=2304÷0.5

X³=4608

X=³√4608

X=16.64cm

H=16.64x1.5=24.96 cm

Therefore, the height of the square pyramid is equal to 24.96 cm.

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CAN SOMEONE HELP :) IF YOU CAN TYSM!

Answers

Answer:

i. x = -0.5 and 1.5; ii. x = 1.5

Step-by-step explanation:

For part i, we can take a look at the x-intercepts of the parabola. When a quadratic equation equals 0, this means that we are taking a look at its roots, or solutions.

The parabola intersects the x-axis at approximately -0.5 and 1.5. We can say this is an estimate to the solutions.

For part ii, the question is asking the x value that makes the function equal 2. We just look at the point where y = 2, which happens to be 1.5. So when x = 1.5, y = 2, which is what we want.

I hope this helps!

Please help me. I already have the systems of linear equations which is y=87x+2129
Y=171x
I had solved using substitution method and got y=4334.85 and x=25.35

I attached the question that I need help with.

Answers

Step-by-step explanation:

that's it hope u understood

Answer:

Step-by-step explanation:

Your answer for  x = 25.35 is correct.

Since the night must be an integer, you need to take 26 as your final answer. b) for y = 1500, you solve for x to consider which one is better.

for plan A, y = 87 x + 2129, you have to pay $2129 before starting the trip, hence $1500 is NOT enough to pay.

for plan B, y = 171x and y = 1500, hence x = 8.77. So, with $1500 you can travel for 8 nights.

The function fox) = x + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new
function?
x (x - 11)2 + 58
(r+ 22)2 – 121
(x + 7)2 - 47
(x-15)2 + 94
Intro
7
Done

Answers

Answer:

Step-by-stfffffffffffffffffffffffffffffffffffffffffffffffffffffep explanation:

You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of and sodas sold at the swim meet.

-Using the Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold.

Answers

Answer:

Step-by-step explanation:

Let's set up an equation in standard form.

x + 0.5y = 150

0.5y = -x + 150

y = -2x + 300

The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.

how to solve 56 x 12 using a area model

Answers

I need to write this down

Answer:

well your answer is 778 but I forgot how to use an area model

Step-by-step explanation:

A group of students was asked, "How many hours did you watch television last week?" Here are their responses.
16, 11, 7, 18, 19, 5
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.

Answers

The answer is 12.7
The mean is the average so add all six numbers together and then devide it by how many numbers there are (6).

16+11+7+18+19+5=76 76/6=12.6666 or 12.7

Step-by-step explanation:

Mean = 16 + 11 + 7 + 18 + 19 + 5 / 6

Mean = 76 / 6

Mean = 12.66

Find the inverse function of h(x)=-2/3x+6

Answers

Answer:

-3/2 (x - 6)

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of
this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
VX
O 7 cm and 2 cm
O 8 cm and 9 cm

Answers

Answer: D also, can i have brainliest?

solution:

The other 2 sides added have to be greater than 13

Option A: 5 + 8 = 13. 13 is not greater than 13 so it's not the answer.

B: 6 + 7 = 13. Same thing as option A

C: 7 + 2 = 9. 9 is less than 13 so not the answer.

D: 8 + 8 = 16. 16 is greater than 13 so D is the correct answer.

i did this question for my homework once

hope this helps!

Answer:

8 cm and 9 cm

Step-by-step explanation:

D

I need answer please help

Answers

Answer:

Correct option is the third option:

6*3 - 4+3^2

Third option

[tex] 6(3)-4+3^2 [/tex]

Step-by-step explanation:

[tex]f(x) = 4 - {x}^{2} \\ \red{ \bold{ f(3) = 4 - {3}^{2} }} \\ \\

g(x) = 6x \\ \purple{ \bold{ g(3) = 6( 3)}} \\ \\

(g - f)(3) = g(3) - f(3) \\ (g - f)(3) = 6( 3) - ( 4 - {3}^{2}) \\ \orange {\boxed {\bold {(g - f)(3) = 6( 3) - 4 + {3}^{2}}}} \\ [/tex]

39) Natural numbers that have 1 as the common number between them are called?

Answers

Answer:

I think they're called The Prime numbers.

Tell me if it's correct

Answer:

odd numbers

1,3,5,7,9,11.......

Step-by-step explanation:

Sofi is competing in a long jump competition. His first jump is 5.25 m. Your best jump is 8% more than this. However, his best jump is 10% lower than the winning jump. Calculate the length of the winning jump.

Answers

Answer: 6.3 m

Step-by-step explanation:

"8% more" = 1.08 (which is 1+0.08). "10% less" = 0.90 (which is 1-0.10).

first = 5.25

her_best = 1.08*first

her_best = 0.90*winning

Substitute to determine the winning jump's length.

winning = 1.08*5.25/0.90 = 6.3

So, the winning jump was 6.3 meters.

What is the common difference of 4, 10, 16, 20

Answers

Answer:

6 and 4

Step-by-step explanation:

4, 10, 16, 20

common difference:

10-4= 16-10= 6, 20-16 = 4

Since common difference is not equal this is not AP

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Step-by-step explanation:

The answer is the first one because the slope is technically [tex]\frac{2}{1}[/tex]

Up 2 over 1

Since the slope is positive, the graph goes to the right.

(0, -6) is the y intercept because it intersects the y - axis.

Then you draw those two points and connect them.

Answer:

its A OwO

Step-by-step explanation:

What is the inverse of the function f(x) = 2x – 10?
O h(x) = 2x - 5
O h(x) = 2x + 5
O h(x) = 1/2x -5
O h(x) = 1/2x + 5


Answers

Answer:

The answer would be D.

Step-by-step explanation:

what is the range of the exponential function f(x)=-3^x+7​

Answers

The answer is letter D

Which expression is equivalent to 4(2n – 3)?
2n - 3. ___
2n – 11. 9
n-3

Answers

Answer:8n-12

Solution,

4(2n-3)

=4*2n-4*3

=8n-12

hope it helps

Good luck on your assignment

Answer:

[tex]= 8n - 12 \\ [/tex]

Step-by-step explanation:

[tex]4(2n - 3) \\ 4 \times 2n - 4 \times 3 \\ = 8n - 12[/tex]

hope this helps

brainliest appreciate

good luck! have a nice day!

write the equation for a paraloba with a focus at (7,2) and a directrix at y=-2

Answers

Answer:

y = (x-7)^2  / 8

Step-by-step explanation:

The focus to vertex distance is (2-(-2))/2 = 2 and the parabola open's upwards.

 

Thus: a = 1/(4·2) = 8, vertex at (7,0).

 

This means that:

 

y = (x-7)2/8

I NEED HELP. THIS IS ABOUT SCATTER PLOTS PLEASE PROVIDE AN EXPLANATION!!

Answers

Answer:

A

Step-by-step explanation:

we know that the plot decreases from left to right so the slope is negative. that eliminates choices b and d. we also know that they y-intercept is between 5 and 8. that eliminates c.

hope this helps

The Taylor family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?

Answers

Answer:

6 teaspoons

Step-by-step explanation:

2 teaspoons = 1/3 tsp of salt

6 teaspoons = 1 tsp of salt

This was done by multiplying 2 by 3 since 3 thirds (3/3) make one whole.

So if 2 teaspoons are used for 1/3 teaspoon of salt, 4 teaspoons would be used for 2/3 teaspoon of salt and 6 teaspoons would be used for 1 teaspoon of salt.

If matrix Ais a 6 x 5 matrix, which order of matrix can be multiplied by matrix A?

Answers

Answer:

A matrix that is a 5 × (any #)

Step-by-step explanation:

Solve for n.

9n − 7 = 3 + 8n − 2

n =

Answers

Answer:

[tex] \boxed{n = 8} [/tex]

Step-by-step explanation:

[tex] = > 9n - 7 = 3 + 8n - 2 \\ \\ = > 9n - 7 = 8n + 3 - 2 \\ \\ = > 9n - 8n = 1 + 7 \\ \\ = > n = 8[/tex]

Answer:

8

Step-by-step explanation:

9n - 7 = 3 + 8n - 2

Combine like factors.

9n - 7 = 8n + 1

Subtract 8n from both sides

n - 7 = 1

Add 7 to both sides.

n = 8

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