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3 years ago

The area of the square is 36 cm2. What is the formula that shows the length of side b?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

4 0

Answer:

$36 = b^{2} \\\sqrt{36} =\sqrt{b^{2} }$

Step-by-step explanation:

For any square, A = side x side, or "side squared"

If area is given, reverse the process-- take the square root of the Area.

in this question "b" is the side, $A=b^{2}$ so substitute the value and solve $36 = b^{2} \\\sqrt{36} =\sqrt{b^{2} }$

6 = b

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The vertex of this parabola is at (-2,-3). When the y-value is -2 the x-value is -5. What is the coefficient of the square term

olchik [2.2K]

Answer:

a = -3

Step-by-step explanation:

You're correct.

The form of the equation you need is

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

Filling in our h, k, y, and x:

$-5=a(-2+3)^2-2$ which simplifies to

$-5=a(1)-2$ which simplifies further to

$a=-3$

Very good!!!! These can be tricky, but you got it!!

4 0

3 years ago

Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for

inessss [21]

Answer:

Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

Travelled distance (d) = 480 miles.

Speed of Justin is 10 miles per hour faster than Joan.

To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10 ---------------(from given)

Now, Total speed of Joan and Justin = x+x+10

Total speed of Joan and Justin = 2x+10 ------------(1)

Now formula for speed is,

Speed = $\frac{distance}{time}$

$2x+10=\frac{480}{4}$ -------------(from 1 and given)

$2x+10=120$

$2x=120-10$

$2x=110$

$\therefore x=\frac{110}{2}$

$\therefore x= 55$

as x is the speed of Joan,

Therefore Joan drive with a speed of 55 miles per hour.

6 0

3 years ago

Read 2 more answers

Solve pls brainliest

kipiarov [429]

The answer should be 4.3 (the line is ontop of the 3)

The line is on the 3

6 0

3 years ago

A running track at a school is shaped like oval. The track is 1/2 miles long . Mr. Perez puts a marker down every 1/8 mile .

Lunna [17]

Answer:

4 markers

Step-by-step explanation:

1/2 miles divided by 1/8 miles equals 4 markers.

1/2 ÷ 1/8

Apply the fraction rule:

1/2 × 8/1

Cross cancel common factor 2:

= 4/1

= 4

Hope this helps!

4 0

3 years ago

Is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7

AlekseyPX

Answer:

<u><em>(x+5) is not a factor of f(x)</em></u>

Step-by-step explanation:

Step 1 : we solve the equation x +5 = 0

x + 5 = 0 then x = -5

Step 2: we plug in -5 into f(x)

If we get zero then x+5 is a factor of f(x)

If we get a number other than zero then x+5 is not a factor of f(x)

Calculation:

f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0

Therefore ,(x+5) is not a factor of f(x)

8 0

2 years ago

Read 2 more answers