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3 years ago

Help me please thank you

Mathematics

2 answers:

Alex3 years ago

6 0

The answer is D because you need the horizontal translations in the parenthesis to equal zero

tatiyna3 years ago

5 0

Mortals, begging for help............... *Disgusted face*

Your answer would be D

From: Dark Angel

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Rewrite y = -(x + 2)2 – 5 in standard form.

xenn [34]

Answer:

y = - x² - 4x - 9

Step-by-step explanation:

Given

y = - (x + 2)² - 5 ← expand (x + 2)² using FOIL

= - (x² + 4x + 4) - 5 ← distribute parenthesis by - 1

= - x² - 4x - 4 - 5 ← collect like terms

= - x² - 4x - 9 ← in standard form

8 0

3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago

Calculate the value of x. Make sure to include units. *

SIZIF [17.4K]

Hey! jeny.

︎⠀⠀⠀⠀⠀⠀⠀⠀⠀How are you?

3 0

2 years ago

A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 192 yards, what are its

qaws [65]

P = 2(L + W)
P = 192
L = 2W

192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards

L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards

5 0

3 years ago

The cake store is having a 30% percent off sale on all of its cakes. If the cake you want regularly costs $10, how much would yo

Akimi4 [234]

30% of £10 = £3
30% discount = £10 - £3 = £7
Cake costs £7

6 0

2 years ago