1. What is the equation of a line that passes through the hypotenuse of the right triangle
in the graph?

A. y=1/5x
B. y=5x
C.y=-5x
D. y=2/5x

1. What Is The Equation Of A Line That Passes Through The Hypotenuse Of The Right Trianglein The Graph?A.

Answers

Answer 1

Answer:

B.) y = 5x

Step-by-step explanation:

The point-slope test (y₁ - y₂ = m(x₁ - x₂)) can be used to determine the slope of a line. The hypotenuse of a right triangle is the diagonal line, opposite of the right angle. The slope (m) is found using two points on the line.

First point: (1,5)      Second Point: (-2,-10)

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

(5 - (-10)) / (1 - (-2)) = m

(15) / (3) = m

5 = m

The slope-intercept equation (y = mx + b) can be used to determine the y-intercept. The y-intercept is the "y" value when "x" is zero. In the equation, the y-intercept value is represented by "b". This variable can be found using the value of the slope and a point on the line.

Point: (-2,-10)            Slope: 5

mx + b = y

5(-2) + b = -10

-10 + b = -10

0 = b

After plugging in the values to the standard form equation, you are left with y = 5x. When "x" increases by one, the "y" value increases by five


Related Questions

What is the solution to −x≥−5

Answers

Answer:

x≤5

Step-by-step explanation:

When multiplying an inequality by a negative number, make sure to reverse the inequality signs. If -x has to be greater or equal to -5, then x has to be lesser or equal to 5

Which question cannot be answered by the solution to the equation 3x=27 ?

Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?

Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?

Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?

The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?

Answers

Answer:

C

Step-by-step explanation:

"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "

Hope this helps :)

What is 1/4 plus 1/2 equal to in a fraction

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]

Find the surface area of the regular pyramid. HELP QUICK!! (Asking again because the commenter DankBoi18 tried to put a virus on my pc)

Answers

We will see that the surface area of the triangular pyramid is equal to 170.1 yd^2

How to get the area of the pyramid?

Remember that the area of a triangle is equal to:

A = (1/2)*b*h

Where b is the base, and h is the height.

On the triangular pyramid, we have 3 faces with a base of 9 yards and a height of 10 yd, so the area of these 3 faces is:

A  = (1/2)*(10 yd)*(9 yd) = 45 yd^2

Also, we can see that the bottom face has a base of 9 yards and a height of 7.8 yards, then its area is:

A' = (1/2)*(9 yd)*(7.8 yd) = 35.1 yd^2

So the total surface area of the pyramid is:

S = 3*A + A' = 3*45 yd^2 + 35.1 yd^2 = 170.1 yd^2

If you want to learn more about pyramids, you can read:

https://brainly.com/question/10042135

pls help can someone play help me giving 21 points

Answers

Answer:

42

Step-by-step explanation:

6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.

Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?

A. 1/9
B. 1/8
C. 1/4
D. 1/3

Answers

Answer:1/8

Step-by-step explanation:

well the total amount you have of cards is 36 so you will have 4/36 now you just need to reduce and you will get 1/8

of the marbles in a bag 5 are red, 5 are green, and 3 are yellow. sandra will randomly choose one marble from the bag. the probability that sandra will choose a green marble from the bag? ​

Answers

Answer:

5/13

Step-by-step explanation:

Total amount of marbles: 5 + 5 + 3 = 13

5 out of 13 are green.

You can also turn this into a percentage but that number is not very clear and this answer should be fine if it doesn't state which form the answer has to be in.

Please help me if you know, I would appreciate if you could explain how to do this!

In the figure, the area of the shaded region is 299π cm²
What are the exact areas of the inner and outer circles?
Also, the answers need to be in cm^2

Answers

Answer:

See answers below

Step-by-step explanation:

Entire outer circle area = pi r^2   = pi 18^2 =  324 pi cm^2

   if you subtract the small unshaded circle you get 299 pi

    324 pi  - smaller circle = 299 pi

      smaller circle = 25 pi  cm^2

         

What is the surface area of this rectangular prism below?

Answers

Answer:

230

Step-by-step explanation:

SA=2(lw+hw+lh), where

l=length

h=height

w=width

2(5*5+9*5+5*9) = 230

QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres? A 6 B.9 C, 12 D. 15​

Answers

Answer:

15

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
Please help

Answers

Check the picture below.

so the solid produced will be a cylinder with a hole in the middle, like you see in the picture, hmmm so we could get its volume by simply getting the outer cylinder and subtracting the inner cylinder, or we can just get the volume of the ring on the left and multiply it by its length, so let's do the that.

[tex]\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}[/tex]

Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pay 7% sales tax on any purchase, how many dollars would Monica have saved by waiting to buy the sweater on sale?

A. $12.84

B. $12.00

C. $2.52

D. $0.84

Answers

Answer:

A  $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax.  $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00.  $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

Helppp!!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals




degrees

Answers

68 degrees

The Isosceles triangle has two angles of 56 and one angle of 68.

Answer:

68

Step-by-step explanation:

Khan

what is 100 - 100 -10 equal it does not equal -10 though that answer is wrong

Answers

Hey there!

100 - 100 - 10

= 0 - 10

START at 0 and go UP 10 spaces

= -10


Thus, yes it does equal to -10


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

& triangle is inscribed
in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2

Answers

Answer: I am not really sure but I think its c

Step-by-step explanation:

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]

The functions it f and g are defined for all real values of x by f(x)=x^2+4ax+a^2 and g(x)=4x-2a where a is a positive constant. Given that fg(3)=69 find the value of a and hence find the value of x such that g^-1(x) =x

Answers

Answer:

Below in bold.

Step-by-step explanation:

We find fg(x) by replacing the x in f(x) by g(x), so:

fg(x) = (4x - 2a)^2 + 4a(4x - 2a) + a^2

fg(3) = 89 so:

(4(3) - 2a)^2 + 4a(4(3) - 2a) + a^2 = 69

(12 - 2a)^2 + 48a - 8a^2 + a^2 - 69 = 0

144 - 48a + 4a^2 + 48a - 8a^2 + a^2 - 69 = 0

-3a^2  + 75 = 0

-3a^2  = -75

a^2 = 25

a = 5.

Now g(x) = 4x - 2(5) = 4x - 10.

Finding g-1(x);

4x = g(x) + 10

x = (g(x) + 10)/4

So g-1(x) = (x + 10)/4

When g-1(x)= x

x = (x +10)/4

4x = x + 10

3x = 10

x = 10/3.

Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.

Answers

The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.

The given quadratic equation is:

[tex]-x^{2} +3x+c=0[/tex]

What is a quadratic equation?

Any equation is called a quadratic equation if it has a form [tex]ax^{2} +bx+c=0[/tex] and a≠0.

For no real solution, the discriminant of a quadratic equation should be less than zero.

[tex]D < 0[/tex]

[tex]3^{2} -4(-1)(c) < 0[/tex]

[tex]9+4c < 0[/tex]

[tex]c < \frac{-9}{4}[/tex]

The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.

To get more about quadratic equations visit:

brainly.com/question/1214333

Answer:

–5 and -9/2 or the first and second options


Which of the following is a solution of

Answers

[tex]\frac{7+\sqrt{13}}{6}[/tex]  is the answer

Step-by-step explanation:

Hal has 4/8 yard of string. How many 1/12 yard pieces of string can he cut from 3/4 yard?​

Answers

Answer:

9

Step-by-step explanation:

3/4=0.75

1/12=0.0833333333

(3/4)/(1/12)=9

Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1

Answers

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5


Determinethe required linear equations

y = 5/4 x + 11.5

Learn more on linear equation here https://brainly.com/question/1884491

Find the DIAMETER of a circle for the circumference given.
circumference = 34.6 m
A) 2.3 m
C) 11 m
B) 5.5 m
D) 6.5 m

Answers

Step-by-step explanation:

2 pi r = 34.6

2 r = 34.6/3.14

d = 11 m

Diameter be d

Circumference=πdπd=34.6d=34.6/πd=11m

Abbi is a years old. Abbi is 5 years older than cathy. Bobby is twice as old as Abbi. The total of their ages is less than 35. Solve the inequality

Answers

Answer:

Step-by-step explanation:

A+C+B>35

A = 7

B = 14

C = 2

A+B+C<35=

23<35

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Take the info given
perimeter formula… P = 2L + 2W
so…
30 = 2L + 2W
and L is twice the width
so…
L = 2W

substitute L for 2W and solve for W
2W + 2(2W) = 30
2W +4W = 30
6W = 30
W = 5
If L is twice as long as W (L = 2W) then
L = 10

the area formula.. A = L * W
so
A = 10 * 5

The area of the rectangle is 50cm^2
or 50 square centimeters



A town is more than 300 feet below sea level. Sea level has an elevation of 0 feet. What is one possible elevation, in feet, of the town?

Answers

Answer:

301+

Step-by-step explanation:

The answer can be anything above 300. This means the answer could be 301, or 400, or 350000000000, any of those are correct.

Write an equation that represents a relationship between these angles. Do NOT use spaces or parentheses.

Answers

Answer:

Angle x measures 33.5 degrees.

Step-by-step explanation:

From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,

Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:

[tex]x+23+x=90[/tex]

By collecting similar terms the equation which represents a relation between these angles is:

[tex]2x+23=90[/tex]

Now, by subtracting 23 to both sides, we obtain:

[tex]2x=90-23\\2x=67[/tex]

and by dividing both sides by 2, we get

[tex]x=\frac{67}{2}[/tex]

[tex]x=33.5\\[/tex]

Then angle x measures 33.5 degrees.

Which expression is equivalent to (x^1/4y^16) ^1/2

Answers

Answer:

x^1/8 y^8

Step-by-step explanation:

=   x^(1/4 * 1/2) y^(16 * 1/2)   =

The sketch below shows a company's plans for a new billboard advertisement.
15 ft
21 ft
If the area of the billboard is 144 ft?, what is the height?

Answers

Answer:

8ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Huilan's age is three times Thomas's age. The sum of their ages is 92. What is Thomas's age?

Answers

Answer:

23

Step-by-step explanation:

Set Thomas' age to be variable x.

Since Huilan is 3 times the age of Thomas, he is 3x.

3x + x = 92 (The sum of their age)

4x = 92

4x/4 = 92/4   (Isolate x)

x = 23

Extra information: Huilan is 69 because 23 x 3 = 69

For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x+10x
O 17 + x
10x - 7x
0 17x
(b) 2(1 + 8y)
0 2 +1.2 + 8y
0 2 +16y
02.1+28y
2+8y
Ugh I can’t figure them all out please help me

Answers

For (a), it would be the first one and the last one, since all of the factors are terms with variables attached and cannot be disconnected from one another.

For (b), it would be the second one since you have to use distributive property, and when the 2 is multiplied by the 8, there has to be a 16 in the mix somewhere.

Hope this helps!

What is the Length of the side LM?

Answers

Answer: 12

Step-by-step explanation:

Other Questions
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