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2 years ago

Determine in which direction the parabola below opens. y = x2 - 7x + 18 A. left B. right C. up D. down

Mathematics

2 answers:

Katyanochek1 [597]2 years ago

8 0

y=x2-7x+18

y''=2>0 opens up.

Answer C

sergey [27]2 years ago

4 0

opens up → C

given a parabola in standard form → y = ax² + bx + c ( a ≠ 0) then

• If a > 0 parabola opens up and has a minimum turning point

• If a < 0 parabola opens down and has a maximum turning point

y = x² - 7x + 18 has a = 1 > 0 thus opens up

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

2 years ago

A.28.0 B.19.8 C.14.0 D.3.7

Lady_Fox [76]

Sin(angle) = opposite leg / hypotenuse

Sin(45) = Opposite leg / 28

Opposite Leg = 28 * Sin(45)

Opposite Leg = 14 SQRT(2) = 19.8

7 0

2 years ago

What is the equation of the line that passes through the points (1, −10) and (−4, −7)?

nignag [31]

Hi there! :)

First, let's find the slope using this formula:

m= $\frac{y2-y1}{x2-x1}$

m= $\frac{-7-(-10)}{-4-1} \\\frac{-7+10}{-5} \frac{3}{-5} =-\frac{3}{5}$

Now, use the Point-Slope formula:

y-y1=m(x-x1)

y-(-10)=-3/5(x-1)

y+10=-3/5x+3/5

y=-3/5x+3/5-10

y=-3/5x-9.4

Hope this helps..

~Just an emotional teen who listens to "Try Everything"

$SilentNature$

4 0

1 year ago

Angelina wants to buy the same number of pens and pencils. Pens come in 8 packs and pencils come in packs of 9. What is the leas

andrew11 [14]

Answer:

Angelina should buy 9 packs of pens and 8 packs of pencils.

Step-by-step explanation:

Each pack of pens = 8 pens

Each pack of pencils = 9 pencils.

Also we know that, Commutative Property of Multiplication states that

a x b = b x a for any two numbers a and b.

So, 8 x 9 = 72 = 9 x 8

Hence, she should buy 9 packs of pens, so she will have 9 x 8 = 72 pens.

And she should buy 8 packs of pencils, she will have 8 x 9 = 72 pencils.

7 0

2 years ago

WILL GIVE BRAINLIEST 20 POINTS Congruent? If so, what property?

alexandr1967 [171]

Answer:

No, not congruent

Step-by-step explanation:

Triangles cannot be considered congruent based on the fact that all 3 angles are congruent

Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!

4 0

1 year ago