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3 years ago

How does each multiplication compare to its corresponding division problem

1 answer:

7 0

Multiplication and division are inverse of each other. If you want to divide something by 2, you could also multiply it by .5 or (1/2). If you want to multiply something by 4, you could also divide it by (1/4) etc.

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Given f (x) and g(x)+k look at the graph below and determine the value of K

FinnZ [79.3K]

The value of K is 5 because its going up 5 from the f(x) graph

4 0

2 years ago

Read 2 more answers

The weight of an object on mars varies directly is proportional as the weight of the object on earth a 75 pound object on earth

dedylja [7]

Answer:

It weighs 40 pounds on mars

Step-by-step explanation:

Direct proportion is the relationship between two variables when their ratio is equal to a constant value

It can be expressed as y = k x, where y varies directly as x and k is constant of variation
It can be expressed as $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$

∵ The weight of an object on mars varies directly as the weight

of the object on earth

∴ w(m) = k × w(e)

∵ The weight of the object on earth is 75 pound

∴ w(e) = 75

∵ The weight of this object on mars is 25 pounds

∴ w(m) = 25

- Substitute them in the equation of variation

∵ 25 = k × 75

- Divide both sides by 75

∴ $\frac{1}{3}$ = k

∴ w(m) = $\frac{1}{3}$ × w(e)

∵ An object weighs 120 pounds on earth

∴ w(e) = 120

- Substitute it in the equation of variation

∴ w(m) = $\frac{1}{3}$ × 120

∴ w(m) = 40

∴ It weighs 40 pounds on mars

5 0

2 years ago

Define a variable and write an expression to represent the following phrase:

ryzh [129]

Answer:

x - 7 = age of whatever you are finding the age of

Step-by-step explanation:

seven years younger implies that you are taking away so we minus it from our variable, Tates age is the variable since it does not tell us his/her age in the statement given.

6 0

2 years ago

20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answe

Llana [10]

1. To solve this we are going to use the formula for the area of a sector of a circle: $A= \frac{1}{2} r^2 \alpha$
where
$A$ is the area of the sector
$r$ is the radius of the circle
$\alpha$ is the angle in radians

We know from our problem that the radius of the circle is 5 cm and the angle of the sector is $\frac{ \pi }{4}$ , so $r=$ and $\alpha = \frac{ \pi }{4}$ . Lets replace those values in our formula:
$A= \frac{1}{2} r^2 \alpha$
$A= \frac{1}{2} (5)^2( \frac{ \pi }{4} )$
$A= \frac{25 \pi }{8}$
$A=9.8$

We can conclude that the area of sector GHJ in terms of pi is $\frac{25 \pi }{8}$ $cm^2$ , and as a decimal rounded to the nearest tenth is 9.8 $cm^2$ .

2. To c<span>onstruct the circle that circumscribes triangle DEF, we are going to draw the perpendicular bisectors of triangle DEF, and then we are going to draw the circle with radius at the interception point of the bisectors. Remember that the perpendicular bisector are the lines that passes trough the midpoint of the segment and are perpendicular to the segment.</span>

3 0

3 years ago

Simplify the expression

VARVARA [1.3K]

This question it has to simplifying with their expression.

<span> 2(5+9)-6

= 22

Answer is C. 22

It will help you.

Have a great day.

-Charlie</span>

8 0

2 years ago