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4 years ago

What expression is equal to 75

Mathematics

1 answer:

Luden [163]4 years ago

5 0

Answer:

5,625

Step-by-step explanation:

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(-4b3 + b – 1) + (6b – 6) =

nikdorinn [45]

Answer:

7 B - 50

Step-by-step explanation:

3 0

3 years ago

A pennant is shaped like a right triangle with a hypotenuse of 10feet. The length of one side of the pennant is two feet longer

marissa [1.9K]

Answer:

6 ft and 8 ft

Step-by-step explanation:

let x be the length of one leg then (x + 2) is the other leg.

Using Pythagoras' identity in the right triangle, that is

x² + (x + 2)² = 10² ← expand left side and simplify

x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide all terms by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

But x > 0 ⇒ x = 6

Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft

6 0

4 years ago

Find the midpoint of the line segment with the given endpoint of (9,-1) , (0,7)

lapo4ka [179]

( $\frac{9}{2}$ , 3 )

to calculate the midpoint use the midpoint formula

midpoint = [ $\frac{1}{2}$ (9 + 0), $\frac{1}{2}$ (- 1 + 7)] = ( $\frac{9}{2}$ , 3 )

5 0

4 years ago

Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algeb

hodyreva [135]

Hello,

With
y=x²-4x-21
y=-5x-22

==>x²-4x-21=-5x-22
==>x²+x+1=0

In R, no solution for Δ=1-4=-3<0

3 0

3 years ago

Read 2 more answers

Use special right triangles to solve for the exact value of x. 4 16 9

maks197457 [2]

CHECK THE ATTACHMENT FOR THE FIGURE OF THE QUESTIONS

Answer:

Option A. is correct x = 4

Step-by-step explanation:

From the given figure

The adjacent of the given right angle triangle is

8 units which is the base,

Then x units is the opposite of the right angle triangle which is the height.

The hypotenuse side also has x units

Then value of x is required,

But going by right angle triangle trigonometry

cos(x) = adjacent / hypotenuse

Where adjacent= 8 unit

cos( 60) = 8/x

1/2 = 8/x

x = 8/2

= 4unit

Hence, Option A is correct, with 4 units

6 0

3 years ago