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Mathematics

2 answers:

Annette [7]3 years ago

5 0

The first answer is correct

tigry1 [53]3 years ago

5 0

The first one is correct

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Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as a vertex. What is the stand

kirill115 [55]

$(h;\ k)\ -\ \text{the coordinates of the vertex}$

$\text{therefore we have:}\ f(x)=a(x+3)^2+4$

$\text{a parabola that passes through the point (-1; 0)}$

$\text{substitute the coordinates of the poin (-1; 0) to the equation}$

$(-1;\ 0)\to x=-1;\ y=0\\\\0=a(-1+3)^2+4\\\\0=a(2)^2+4\\\\0=4a+4\ \ \ |-4\\\\4a=-4\ \ \ |:4\\\\a=-1$

$f(x)=-(x+3)^2+4=-(x^2+2\cdot x\cdot3+3^2)+4=-(x^2+6x+9)+4\\\\=-x^2-6x-9+4=-x^2-6x-5$

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3 years ago

A rectangular storage box is 12 in.

ludmilkaskok [199]

Answer:

846 sq. in.

Step-by-step explanation:

This is surface area. There are 6 faces. Solve each face and then add them up. In this case, first multiply 9 and 12 = 108. 108 adding 108 because there is another side with the same size. Than multiply 9 and 15. 135 times 2. 216 + 270 = 486. Next you multiply 12 and 15. 180 times 2. 486 + 360 = 846

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3 years ago

Equations and functions <br><br> What’s the answer to this ? I’m haveing trouble

Alenkinab [10]

Answer:

B / px= k

Step-by-step explanation:

B = kpx

Divide each side by px

B / px= kpx/px

B / px= k

7 0

3 years ago

Read 2 more answers

Suppose Angle A is 25° and Angle B is greater than 51° but less than 57°, what are the possible measurements for Angle C?

olchik [2.2K]

The picture in the attached figure

we know that
m∠A+m∠B+m∠C=180°-----> by the sum of the internal angles of the triangle is 180 degrees
m∠A=25°

for m∠B=51°
find ∠C
∠C=180-[25+51]---------> m∠C=104°
for m∠B greater than 51°-------> m∠C must be less than 104°

for m∠B=57°
find m∠C
m∠C=180-[25+57]---------> m∠C=98°
for m∠B less than 57°-------> m∠C must be greater than 98°

therefore
98° < m∠C < 104°