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2 years ago

14

Please help me if you can thanks

1 answer:

iren2701 [21]2 years ago

3 0

Step-by-step explanation:

a, 3

b,

draw lines through the corresponding corners of each shape These lines will cross at the centre of enlargement O

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Sofia's gym membership is $275 per year on addition to an annual locker fee of $95. What is the monthly fee

AysviL [449]

275+95=370

370/12=30.83

6 0

2 years ago

Im sorry for so many questions but i need help badly.

vlada-n [284]

The ratio of the circumference to the diameter is defined as pi
pi=circumference/diameter
that is how they got pi
in this question it woul be 15.7/5 which would be 3.14,

c=2pir
a=pir^2

c=2pir=16pi
divide both sides by 2pi
r=8

a=pir^2
a=pi8^2
a=pi64
a=64pi in²

5 0

2 years ago

Madelyn's car used 6 gallons of gas to drive 126 miles. At what rate does her car use

Reil [10]

Answer:

Step-by-step explanation:

You are given GALLONS and MILES

you want to find MILES / GALLON

so just put those numebrs in

MILES / GALLON = 126 miles / 6 gallons = 21 m/g (or 21 MPG)

4 0

3 years ago

Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

Step-by-step explanation:

Given function:

$Y=-\frac{1}{3}x^2-4x-5$

We need to find the vertex form which is.,

$y=a(x-h)^2+k$

where $(h,k)$ represents the co-ordinates of vertex.

We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

$-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5$

$-3Y=x^2+12x+15$

Isolating $x^2$ and $x$ terms on one side.

Subtracting both sides by 15.

$-3Y-15=x^2+12x-15-15$

$-3Y-15=x^2+12x$

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of $x$ term, square it and add it both sides side.

square of half of the co-efficient of $x$ term = $(\frac{1}{2}\times 12)^2=(6)^2=36$

Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

$-3Y+21=x^2+12x+36$

Since $x^2+12x+36$ is a perfect square of $(x+6)$ , so, we can write as:

$-3Y+21=(x+6)^2$

Subtracting 21 to both sides:

$-3Y+21-21=(x+6)^2-21$

$-3Y=(x+6)^2-21$

Dividing both sides by -3.

$\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}$

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

8 0

3 years ago

Josiah skateboards from his house to school 3 miles away. It takes home 36 minutes. If Josiah’s speed, in miles per minute, is c

arlik [135]

c constant of proportionality is 12

Step-by-step explanation:

36÷3= 12

5 0

3 years ago