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3 years ago

Consider the rectangle.

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:

Step-by-step explanation:

a. The area of a rectangle is width * length. The width is 5x, and the length is 7x-2. This means the area is 5x*(7x-2). Distributing the 5x, we find that the area of the rectangle is 35x^2-10x.

b. To find the area when x is 4, we plug x=4, so 35*4^2-10*4=560-40=520.

c. same as above, we plug x=7, and get 1645 as our area.

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What is the diameter of a circle with a 4.2 cm radius

4vir4ik [10]

Answer:

8.4cm

Step-by-step explanation:

In a circle, d = 2r, so d = 2 * 4.2cm = 8.4cm

3 0

3 years ago

PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK

dem82 [27]

Answer:

$\huge\boxed{9}$

Step-by-step explanation:

$\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}$

Rule of exponents $a^0 = 1$ , $1/a^m = a^{-m}$

=> $\sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}$

=> $\sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}$

Combining same bases

=> $\sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}$

When bases are same , powers are to be added

=> $\sf 2 ^{-16-12+28} * 3^{10-8}$

=> $\sf 2^{-28+28} * 3^2$

=> $\sf 2^0 * 3^2$

=> $\sf 3^2$

=> 9

8 0

3 years ago

Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl

AlladinOne [14]

What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A

4 0

3 years ago

How do you solve equation with like terms if it has a fraction

larisa86 [58]

Answer:Solve equations by clearing the Denominators Find the least common denominator of all the fractions in the equation. Multiply both sides of the equation by that LCD. This clears the fractions.

Step-by-step explanation:Solve equations by clearing the Denominators Find the least common denominator of all the fractions in the equation. Multiply both sides of the equation by that LCD. This clears the fractions.

3 0

2 years ago

If the length of FG is 6 units, what is the length of EH?

QveST [7]

FG goes through the center of the circle, so FG is diameter.

$d = 2r \\ r = \dfrac{d}{2} \\ \\ r = \dfrac{6}{2} = 3$

EH=r=3

Answer: EH=3

4 0

3 years ago