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3 years ago

15

Use the distributive property to find the product of 1/3 x 2 3/4

2 answers:

Tasya [4]3 years ago

6 0

(1/3 x 2) + (1/3 x 3/4) = 2/3 + 1/4 (Then find a common denominator: 12) 8/12 + 3/12 = 11/12

Lerok [7]3 years ago

6 0

Convert to 12 then multiply and get 3

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kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :

$y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2$

So, now we can write the full expression for the parabola:

$y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3$

8 0

3 years ago

Harold weighs 270 pounds now. If Harold goes on a diet and loses 30 pounds, then how many kilograms will he weigh?

Leto [7]

Answer:

108.862 kg

Step-by-step explanation:

270lb -30lb =240 lb

240 lb is approx. 108.862 Kg

(Pounds are approx 2.205 times Kg)

<em>I hope this helps! :)</em>

3 0

3 years ago

Read 2 more answers

Bruce has $10 in nickels and quarters. The number of nickels is 24 less than twice the number of quarters. How many does he have

STALIN [3.7K]

Answer:

no money

Step-by-step explanation:

he has $10 in change.. he has no money

5 0

3 years ago

What is the equation of a line that models wages with a slope of 15 that passes through the point (5, 90)?

Klio2033 [76]

Hello :
<span>the equation is :
y - 90 = 15(x - 5)</span>

3 0

3 years ago

A rectangle is 3 1/4 feet long and 2 1/3 feet wide what is the distance around the rectangle

Zina [86]

$3 \frac{1}{4} = \frac{13}{4}$
$2 \frac{1}{3} = \frac{7}{3}$
$\frac{39}{12} + \frac{28}{12} =$
$= \frac{67}{12} = 5 \frac{7}{12}$

3 0

3 years ago