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3 years ago

14

Jacob takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 4 i

nches long and 5 inches wide, how long is the diagonal cut that Jacob made? If necessary, round to the nearest tenth.

1 answer:

Serhud [2]3 years ago

7 0

5^2 + 4^2 = diagonal
$\sqrt{41} = 6.4$

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2r+2s=50<br> Please look at the picture

lidiya [134]

2r + 2s = 50

2r - s = 17

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3s = 33

s = 11

2r - s = 17

2r - 11 = 17

2r = 28

r = 14

so r = 14 and s = 11

answer is C. r = 14, s = 11

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2 years ago

1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?

TEA [102]

Answer:

$162000

Step-by-step explanation:

8% of 10000

10000÷100=100×8=800

10000+800=10800

10800×15=162000

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1 year ago

A proportional relationship is a linear relationship because the rate of change is constant(and equal to the constant of proport

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2 years ago

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HELP ME!! im so stumped. will give brainliest!

Olegator [25]

Answer:

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

$y=a\left(x-h\right)^2+k$

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

$y=a\left(x-1\right)^2-9$ ...(i)

Plug given point (0, -6). into (i)

$-6=a\left(0-1\right)^2-9$

$-6=a\left(-1\right)^2-9$

$-6=a\left(1\right)-9$

$-6+9=a$

$3=a$

Plug a=3 into (i)

$y=3\left(x-1\right)^2-9$

Now to find x-intercept, we just plug y=0 and solve for x

$y=3\left(x-1\right)^2-9$

$0=3\left(x-1\right)^2-9$

$9=3\left(x-1\right)^2$

$3=\left(x-1\right)^2$

$\pm \sqrt{3}=x-1$

$1+\pm \sqrt{3}=x$

Hence final answer are

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

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