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3 years ago

Decide whether the two expressions are equivalent for each problem below.

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

C and d are equivalent

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What is the vertex of the parabola?

Nina [5.8K]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

17 - 2n = 9 what’s the answer ?

BlackZzzverrR [31]

Step 1: Simplify both sides of the equation.

17−2n=9

17+−2n=9

−2n+17=9

Step 2: Subtract 17 from both sides.

−2n+17−17=9−17

−2n=−8

Step 3: Divide both sides by -2.

−2n−2=−8−2

n=4

8 0

3 years ago

Maggie is x years old. Her brother Demarco is 4 years older than her. Anna is 3 times as old as Demarco. Write and simplify an e

ExtremeBDS [4]

Maggie = x years old
Demarco = x + 4
Anna = 3*Demarco

Anna = 3*(x + 4)
Anna = 3x + 12

Hope this helps!

7 0

3 years ago

The lengths of the bases of the right trapezoid are 9 cm and 18 cm. The length of a longer leg is 15 cm. Find the area of the tr

finlep [7]

Firstly, we will draw figure

now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle

because of opposite sides of rectangle ABMD are congruent

so,

DM=AB=9

CM=CD-DM

CM=18-9

CM=9

now, we can find BM by using Pythagoras theorem

$BM=\sqrt{BC^2-CM^2}$

now, we can plug values

we get

$BM=\sqrt{15^2-9^2}$

$BM=12$

now, we can find area of trapezium

$A=\frac{1}{2} (AB+CD)*(BM)$

now, we can plug values

and we get

$A=\frac{1}{2} (9+18)*(12)$

$A=162cm^2$

so, area of of the trapezoid is $162cm^2$ ..........Answer

6 0

3 years ago

A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

8 0

3 years ago