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2 years ago

Re-write the quadratic function below in Standard Form y=-3 (x - 2)² – 7

Mathematics

1 answer:

pav-90 [236]2 years ago

3 0

Answer:

$y=-3x^2+12x-19$

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

$y=ax^{2} +bx+c$

we have

$y=-3(x-2)^{2}-7$

This is a quadratic equation in vertex form

Convert to standard form

$y=-3(x^2-4x+4)-7$

Apply distributive property

$y=-3x^2+12x-12-7$

Combine like terms

$y=-3x^2+12x-19$ ----> quadratic equation in standard form

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Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3).y = (smaller slope)y

Bingel [31]

Answer:

x+y=15

Step-by-step explanation:

Given equation of $x^2+4y^2=36$

Differentiating both side $2x+8y\frac{dy}{dx}=0$

$\frac{dy}{dx}=\frac{-x}{4y}$

It passes through the point (12,3) so

$\frac{dy}{dx}=\frac{-12}{4\times 3}=1$

So equation of tangent passing through (12,3) is

$y-12=-1(x-3)$ as $y-y_1=-m(x-x_1)$

So x+y =15 will be the equation of tangent which passes though the point (12,3)

5 0

3 years ago

Mischief Campbell math class lasts 45 minutes. Math class starts at 9:05. what time does math class end?

zhuklara [117]

Answer:

The correct answer is 9:50.

Step-by-step explanation:

9:05+0:45=9:50

7 0

2 years ago

A pig wights 9.8 pounds convert the pigs wight to ounces

Elodia [21]

9.8 pounds in ounces is 156.8
Hope this helped!!

5 0

3 years ago

If two angles are complementary angles and they measure m ∠1=(x + 5) and m∠2=(5x + 13). Find x and the measure for both an

Korolek [52]

5X+13+X+5=90°(SUM OF COMPLEMENTRY ANGLE IS EQUAL TO 90°)

6+18=90°

6X=90°-18°

X=72°/6

X=12 °ANSWER

6 0

3 years ago

[(4096)⁰]⁻⁴ = a)1/(4096)⁴ b)-4 c)4096 d)1

SOVA2 [1]

[(4096)⁰]⁻⁴ = (4096)⁰ = 1

OPTION D

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3 years ago