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ZanzabumX [31]
3 years ago
7

Y = (x + 3)2 + (x + 4)2 rewritten in vertex form

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
Vertex form is y=a(x-h)^2+k
expand and combine like terms and complete the square

expand
y=x^2+6x+9+x^2+8x+16
add
y=2x^2+14x+25
completet the square
first move 25 off to side
y=(2x^2+14x)+25
work inside
we need 1 in front of x^2
undistribute 2
y=2(x^2+7x)+25
take 1/2 of 7 and squaer it and add the positive and negative inside
y=2(x^2+7x+12.25-12.25)+25
factor perfec square inside
y=2((x+3.5)^2-12.25)+25
distribute the -12.25
y=2(x+3.5)^2-24.5+25
add
y=2(x+3.5)^2+0.5

add positive and negat
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Answer:

Step-by-step explanation:

Let the angles be 4x , 5x

4x + 5x = 180   { supplementary}

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Larger angle= 5x = 5* 20 = 100

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3 years ago
Will mark as brainliest please help.
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il63 [147K]

Answer:

5/6

Step-by-step explanation:

<em>Dividing fractions:</em>

<em>Step 1: Rewrite the first fraction as it is.</em>

<em>Step 2: Replace the division sign with a multiplication sign.</em>

<em>Step 3: Flip the second fraction.</em>

<em>Step 4: Multiply the fractions and reduce the product if necessary.</em>

Let's use the rule of dividing fractions on your problem.

Step 1: Rewrite the first fraction as it is.

\dfrac{5}{8}

Step 2: Replace the division sign with a multiplication sign.

\dfrac{5}{8} \times

Step 3: Flip the second fraction.

\dfrac{5}{8} \times \dfrac{4}{3}

Step 4: Multiply the fractions and reduce the product if necessary.

To multiply fractions, multiply the numerators together, and multiply the denominators together.

\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}

We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.

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3 years ago
Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).
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Answer:

y + 9 = \frac{1}{5}(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{1}{5} and (a, b) = (- 4, - 9) , thus

y - (- 9) = \frac{1}{5}(x - (- 4) ) , that is

y + 9 = \frac{1}{5}(x + 4)

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