All categories

2 years ago

Factor the expression. -20x + 32

Mathematics

1 answer:

fgiga [73]2 years ago

8 0

Factor -20x+32
which comes out to 4(-5x+8)
answer: 4(-5x+8)
hope this helped :)

You might be interested in

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

Solution:

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

The total area of pyramid is given by:

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

The area of base is given as:

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

The lateral area is given as:

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

Summarizing the results:

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0

2 years ago

3. Michael goes on a Camel Safari in Africa.

Veronika [31]

Answers:

Distance = 14 km

Displacement = 4 km east

==============================================

Explanation:

The total distance is simply the sum of the values given. So he traveled a total of 5+4+5 = 9+5 = 14 km overall.

----------------------

The displacement is where a drawing may come in handy. Draw an xy axis. Place point A at the origin (0,0). This is where Michael starts his trip. Then move up to (0,5) to indicate he goes 5 km north. Call this point B.

Afterward, mark point C at (4,5) to show he has gone 4 km east. Finally, point D is at (4,0) because he went 5 km south

The displacement is only concerned with two points: The start and end point. Nothing else matters. We started at A(0,0) and ended at D(4,0). So we've gone 4 km east overall. The direction is important when it comes to displacement. Simply saying "4 km" isn't enough. So in a sense, we could take a shortcut from A directly to D, bypassing the other points B and C.

See the diagram below for a visual.

4 0

3 years ago

Alright, I need help PLEASE !!

nadya68 [22]

What do you want me to answer I’ll help you

7 0

2 years ago

Sarah will mix yellow paint and red paint in the ratio 2 parts yellow to 3 parts red to create a certain shade of orange paint.

n200080 [17]

Answer:

$59.50

Step-by-step explanation:

Given ratio of paints in the mix:

yellow : red = 2 : 3

Total volume of paint is 10 quarts, so we have:

2x + 3x = 10
5x = 10
x = 2

This is the multiplier, using which we get:

Yellow paint = 2*2 = 4 quarts
Red paint = 3*2 = 6 quarts

Find the price:

4*5.50 + 6*6.25 = 59.50

6 0

1 year ago

Write a function rule for the input output table input x -2, -1, 0, 1 output y 13, 14, 15, 16

mojhsa [17]

Answer:

y = x+15

Step-by-step explanation:

x-values increase by 1, as do y-values. The ratio of increases is Δy/Δx = 1/1 = 1. This is the slope (m) that is needed in the function rule.

The y-value is 15 for an x-value of 0, so we can use 15 as the y-intercept (b) in the function rule.

In slope-intercept form, the function rule is ...

y = mx +b

y = x +15

4 0

3 years ago