3 years ago

Find the missing side lengths.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

Use the Pythagorean theorem:

$x^2+8^2=17^2\\\\x^2+64=289\qquad\text{subtract 64 from both sides}\\\\x^2=225\to x=\sqrt{225}\\\\\boxed{x=15\ ft}$

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Determine the range of the function in the table below.

maria [59]

The last one if I'm not mistaking

5 0

2 years ago

Find all x ∈ Z satisfying each of the following equations.3x = 2 (mod 7)

Vlada [557]

Answer:

7x−3=7k,x=7k+3,k∈ℤ

Step-by-step explanation:

3x ≡ 2 (mod 7)

3 is a solution, since 3×3−2=7.

All solutions are 3+7ℤ

y=3x−2/7=3(x−3)+7/7=3(x−3)/7+1

7x−3=7k,x=7k+3,k∈ℤ

5 0

2 years ago

What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.

olga55 [171]

Answer:

The slop is undefined

i.e. $m=\infty$

Step-by-step explanation:

Considering the slope formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

As the points are (7, -4) and (7, 0)

Here:

(x₁, y₁) = (7, -4)

(x₂, y₂) = (7, 0)

$\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}$

$=\frac{0-\left(-4\right)}{0}$

$=\infty$

Therefore, the slop is undefined i.e. $m=\infty$

5 0

3 years ago

-10 + x + 4 – 5 = 7x – 5 i know the answer its -1 help please

Novosadov [1.4K]

Answer:

x = -1

Step-by-step explanation:

- 10 + x + 4 - 5 = 7x - 5

-11 + x = 7x - 5

-6 + x = 7x

-6 = 6x

x = -1

4 0

3 years ago

Read 2 more answers

What is the value of x in the equation shown? 2(X + 8) - 4x = 10x + 4

Anna007 [38]

Answer:

Option C: X=1

Step-by-step explanation:

2(X + 8) - 4x = 10x + 4

2X + 16- 4X= 10X + 4

-2X +16 =10X + 4

16 - 4 = 10X+2X

12 =12X

X=1

7 0

2 years ago