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3 years ago

Please help! I will give out brainlist.

Mathematics

1 answer:

Ainat [17]3 years ago

7 0

Answer:

Step-by-step explanation:

This is a Pythagorean Theorem Question

c^2 = a^2 + b^2

c= sqrt(5)

a = x

b = x This is an isosceles right triangle. The vertical side and the horizontal side are equal.

x^2 + x^2 = sqrt(5)^2

2x^2 = 5 Divide both sides by 2

x^2 = 5/2 Take the sqrt of both sides.

√x^2 = √5 / √2 Multiply right side by √2 on both top and bottom

x = √5*√2 / √2*√2

x = √10 /2

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Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

MrMuchimi

Answer:

The function h(x) is decreasing on the interval (3, ∞).

Step-by-step explanation:

Please take a look at the attached image.

You will see a graph of the given function h(x) = -2 $\sqrt{x-3}$ . The function is decreasing.

The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).

3 0

2 years ago

Write an inequality whose solutions are represented by the shaded part of the graph

guajiro [1.7K]

Answer:

x > 3

Step-by-step explanation:

8 0

3 years ago

Evaluate the expression a3 -b/c for a = 3, b = 2 and c = 4. write in simplest form

Scilla [17]

Hello There!

Write out your equation:
$(a^3 - b)/c$
Substitute the values in:
$(3^3 - 2)/4$
Simplify:
$(27 - 2)/4$
$25/4$
Solve:
It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!
Good Luck :)

- Hannah ❤

6 0

4 years ago

Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)

arlik [135]

Answer:

y = $\frac{4}{3}$ x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{3}{4}$ x ← is in slope- intercept form

with slope m = - $\frac{3}{4}$ , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{3}{4} }$ = $\frac{4}{3}$ , then

y = $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = $\frac{4}{3}$ x - 12 ← equation of perpendicular line

4 0

3 years ago

Solve for b. -11b+7 = 40−11b+7=40

Oksana_A [137]

Answer:

This equation is false

Step-by-step explanation:

Well,

-11b + 7 = 4 - 11b + 7 = 40

combine like terms

-11b + 7 = -11b + 3 = 40

Communicative property

-3 to both sides

-11b + 4 = -11b = 40

-4 to both sides

-11b = -11b = 36

+11b to both sides

0 = 36

0 is not equal to 36 meaning that this equation is false.

Thus,

the equation given is false.

Hope this helps :)

6 0

3 years ago