Use the distributive property to multiply 5(b+8)a.5b+40
b.5b+8
c.5b+13
d.8b+40

Answers

Answer 1
Answer:

Answer:

Is a. 5b+40

Step-by-step explanation:

The distributive property explains that the multiplication of a number by a sum is equal to the multiplication of the number by each of the addends. So in this case we can multiply the number 5 by each one of the addends, this is:

5*(b+8)=5*b+5*8=5b+40

From the above the answer is a. 5b+40

Answer 2
Answer: The answer is 5b+40

5+b=5b
5×8=40

=5b+40

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Brainliest to whoever gets this correct!

The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.Which equation represents g(x)?

Answers

The equation that represents the function g(x) is g(x)=9cos(x-(\pi )/(3) )+7.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

f(x)=9cos(x-(\pi )/(2) )+3

The function f(x) is first translated(\pi )/(6) units left.

The rule of translation is:

(x,y)=(x+(\pi )/(6),y)

So, we have:

f'(x)=9cos(x+(\pi )/(6) -(\pi )/(2) )+3

Take LCM

f'(x)=9cos(x+(\pi-3\pi  )/(6) )+3

f'(x)=9cos(x-(2\pi  )/(6) )+3

f'(x)=9cos(x-(\pi  )/(3) )+3

Next, translate f'(x) 4 units up.

The rule of this translation is:

(x,y)=(x,y+4)

So, we have:

g(x)=9cos(x-(\pi  )/(3) )+3+4

g(x)=9cos(x-(\pi  )/(3) )+7

Hence, the equation that represents the function g(x) is g(x)=9cos(x-(\pi )/(3) )+7.

Find out more information about function and translation here

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Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

526.30 rounded off to nearest tenth

Answers

526.3
The zero after the 3 is not nessesary

f(x) = x³ - 3x² + 3x - 1f(x + 1) What is the value?

A) x³+1

B) x³-1
C) x³
D) x²
E) x²+1

Answers

f(x+1)=(x+1)^3-3(x+1)^2+3(x+1)-1\n f(x+1)=x^3+3x^2+3x+1-3(x^2+2x+1)+3x+3-1\n f(x+1)=x^3+3x^2+6x+3-3x^2-6x-3\n f(x+1)=x^3 \Rightarrow C
f(x)=(x-1)³ = x³ -3x² +3x -1 
f(x+1) = (x+1-1)³ = x³

95g + 1.4kg + 3.5kg + 0.6kg + 8580g

Answers

the answer equals 14,175 Grams

Question 5Two similar triangles are shown in the diagram below, where
AABC - ADEF.
Based on the dimensions in the diagram, what is the
perimeter of AABC?
A-9 in.
B-10 in.
C-9.5 in.
D-10.5 in.

Answers

Answer:

Perimeter of ΔABC is 9.5 in.

Step-by-step explanation:

Given:

ΔABC \sim ΔDEF

DE = 6 in.

EF = 5.25 in.

DF = 3 in.

AB = 4 in.

We need to find the Perimeter of ΔABC.

Solution:

First we will find the sides of ΔABC.

Now By Triangle similarity property which states that:

"When two triangles are similar the the ratio of their corresponding sides are equal."

From Above property we can say that;

(AB)/(DE) =(BC)/(EF)=(AC)/(DF)\n\n(4)/(6)=(BC)/(5.25)=(AC)/(3)

Now we will find BC and AC

(4)/(6)=(BC)/(5.25)\n\nBC = (4*5.25)/(6)= 3.5 \ in

Also;

(4)/(6)=(AC)/(3)\n\nAC = (4*3)/(6) = 2 \ in

Now In ΔABC

AB = 4 in

BC = 3.5 in

AC =2 in.

Now Perimeter of ΔABC can be calculated as sum of all sides.

Perimeter of ΔABC =  AB +BC +AC = 4 + 3.5 + 2 = 9.5 in

Hence Perimeter of ΔABC is 9.5 in.

All four sided polygons are quadrilaterals

Answers

This is a true statement (: