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3 years ago

PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

Answer:

There you go.

Step-by-step explanation:

Please do tell me if it's wrong.

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Passing through (-2,1 ) and perpendicular to 4x + 7y + 3 = 0.

Lunna [17]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ subtract 7y from both sides

$4x+3=-7y$ divide both sides by (-7)

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for b :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ multiply both sides by 2

$2=-7+2b$ add 7 to both sides

$9=2b$ divide both sides by 2

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - slope-intercept form

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ multiply both sides by 4

$4y=7x+18$ subtract 4y from both sides

$0=7x-4y+18$

6 0

3 years ago

Rewrite the equation to isolate the variable.. df= g- 10 for d

Softa [21]

1) subtract 2 from both sides: y-2 = 9x +2 -2 y-2 = 9x 2) divide both sides by 9: (y-2)/9 = 9x/9 (y-2)/9=x

so it would be (g-10)/f

5 0

3 years ago

Can someone help me please

IrinaVladis [17]

hey what's up! the answer is c

7 0

2 years ago

Logan spent $42 to buy 4 basketballs. What was the price per basketball

ale4655 [162]

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

3 0

2 years ago

Read 2 more answers

In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped

ankoles [38]

Answer:

22% reduction

Step-by-step explanation:

Find the percent decrease by dividing the difference in amounts by the original amount.

Find the difference:

115 - 90 = 25

Divide this by the original amount:

25/115

= 0.217

So, the percent decrease is 21.7%. Round this to the nearest whole percentage:

= 22

The percent reduction in fuel used was approx. 22%

6 0

3 years ago