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

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

Step-by-step explanation:

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 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

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]

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:

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Answer:

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

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 :)

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.

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]

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

Answer:

42

Step-by-step explanation:

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

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

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.

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

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

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]

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.

Answer:

x^1/8 y^8

Step-by-step explanation:

=   x^(1/4 * 1/2) y^(16 * 1/2)   =

Answer:

8ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

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.

Answer:

68

Step-by-step explanation:

Khan

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

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:

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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

Answer:

Step-by-step explanation:

A+C+B>35

A = 7

B = 14

C = 2

A+B+C<35=

23<35

Answer:

9

Step-by-step explanation:

3/4=0.75

1/12=0.0833333333

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

Step-by-step explanation:

2 pi r = 34.6

2 r = 34.6/3.14

d = 11 m

Diameter be d

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:)

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]

Answer:

15

Step-by-step explanation:

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

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

Answer: 12

Step-by-step explanation: