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3 years ago

Find all the points if any where y-4x=12 intersects 2-y=2(x+2)^2

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

Step-by-step explanation:

given the 2 equations

y - 4x = 12 → (1)

2 - y = 2(x + 2)² → (2)

rearrange (1) expressing y in terms of x

y = 12 + 4x

Simplify (2) by expanding factor and substituting y = 12 + 4x

2 - (12 + 4x) = 2(x² + 4x + 4)

2 - 12 - 4x = 2x² + 8x + 8

- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form

add 10 + 4x to both sides

2x² + 12x + 18 = 0 ← in standard form

divide through by 2

x² + 6x + 9 = 0

(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3

Point of intersection = (- 3, 0 ) → B

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Plss help me and explaim too

masya89 [10]

Answer:

a = b = 1

Step-by-step explanation:

The triangles are similar thus ratios of corresponding sides are equal, that is

$\frac{10}{2}$ = $\frac{5}{b}$ ( cross- multiply )

10b = 10 ( divide both sides by 10 )

b = 1

and

$\frac{10}{2}$ = $\frac{5}{a}$ ( cross- multiply )

10a = 10 ( divide both sides by 10 )

a = 1

Thus a = 1 and b = 1

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3 years ago

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Novosadov [1.4K]

The answer is that I think it is 5

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3 years ago

Jamal used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow how many yards of ribbon did Jamal use?

DaniilM [7]

Answer:

1/2 yard

Step-by-step explanation:

1/3 yard x 6/6 = 6/18 yard

1/6 yard x 3/3 = 3/18 yard

6/18 + 3/18 = 9/18 = 1/2 yard

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3 years ago

12. Which three correlation coefficents have a strong linear correlation.

timofeeve [1]

Answer:It should be D E F since they all are closer to 1

Step-by-step explanation:

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3 years ago

To mix weed killer with water correctly it is necessary to mix 6 teaspoons of weed killer with 2 gallons of water. Find how many

igomit [66]

The correct proportion for mixing weedkiller with water is;

$6\text{tsp:}2\text{gal}$

When the entire box contains 12 teaspoons of weedkiller, we would now have;

$\begin{gathered} \frac{6}{2}=\frac{12}{x} \\ \text{Where;} \\ x=\text{gallons of water} \\ \text{Cross multiply and we'll have;} \\ x=\frac{12\times2}{6} \\ x=4 \end{gathered}$

ANSWER:

To mix 12 teaspoons of weedkiller, 4 gallons of water is needed.

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1 year ago