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sergey [27]
3 years ago
11

Find the product of two monomials: 4ab X - 5ab

Mathematics
2 answers:
jeyben [28]3 years ago
7 0

Answer:

-20a^2b^2

Step-by-step explanation:

4ab * -5ab  we see the qu asks to multiply a negative with a positive

so we automatically know it will be a negative. and we know monomials become squared.

4 x -5 = -20  

ab x ab = a^2 b^2

As a full sum.

4ab * -5ab = -20a^2 b^2

artcher [175]3 years ago
6 0
-20a^2b^2

-20a to the second power and b to the second power in case you did not know what the ^ Meant
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4 − (x + 2) < −3(x + 4)
exis [7]

Answer:

x<−7

Step-by-step explanation:

This is an inequality, so you treat as a equation, but when you multiply or divide by a negative number, you flip the inequality.

1. Use distributive property

-x+2<-3x-12

2. Add 3x to both sides.

2x+2<−12

3. -2 from both sides

2x<−14

4. Divide by 2

x<−7

5 0
3 years ago
Let f be the function that determines the area of a circle (in square cm) given the radius of the circle in cm, r. That is, f(r)
yarga [219]

Answer:

The answers to each question are:

a)A=f(r=4cm)=50.26cm^2

b)\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2

c)C=5\cdot f(r=12.7cm)=2533.54cm^2

d)D=f(r=28cm)+59cm^2=2522.01cm^2

Step-by-step explanation:

The function f(r) that represents the area of a circle (in square cm) is:

f(r)=\pi r^2

a) To represent the area (in square cm) of a circle whose radius is 4 cm, you just have to evaluate the function with a radius of 4cm:

A=f(r=4cm)=50.26cm^2

b) To represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm, you have to represent the difference between the final area with a radius of 10.91cm and the initial area of a radius of 10.9cm:

\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2

c) To represent the area of 5 circles that all have a radius of 12.7 cm, we can use the function f(r) to represent the area of a circle with a radius of 12.7cm and multiply it for 5:

C=5\cdot f(r=12.7cm)=2533.54cm^2

d) To represent the area of the larger circle that is 59 square cm more than the first circle (with a radius of 28 cm), we can use the function f(r) to obtain the area of the first circle and addition 59 square cm:

D=f(r=28cm)+59cm^2=2522.01cm^2

6 0
3 years ago
Question:
Y_Kistochka [10]
The answer is y=20 because if they’re proportional then they increase at the same rate. to get from c=3 to x=15 u multiply by 5 and dice x and y are proportional you would multiply the y value, y=4 by 5 to get y=20
6 0
3 years ago
Write the equation of the line that passes through (-1,8) and is parallel to the graph of y = 4x - 2
NikAS [45]

Answer:

When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.

8=4(-1)+b

8=-4+b

b=12

So, the equation of the line is y=4x+12.

:)

8 0
2 years ago
mariah owned her grandfather $2.25 but was recently able to pay him back $1.50. How much does mariah currently owe her grandfath
Illusion [34]
She owes him $0.75 because if she paid him $1.50 already you just subtract that from $2.25
7 0
3 years ago
Read 2 more answers
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