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Olin [163]
3 years ago
15

What is the vertex of the parabola? y + 4 = 1/2 (x - 7)^2Please help fast !

Mathematics
1 answer:
Ber [7]3 years ago
8 0
Get into form (x-h)^2=4p(y-k)
vetex is (h,k)

so
1/2(x-7)^2=y+4
times 2 both sides
(x-7)^2=2(y+4)
(x-7)^2=4(1/2)(y-(-4))
vertex is (7,-4)
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Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes eac
Ivahew [28]

In maths, Distance is described as the quantity of space between two points, and further calculation can be defined as follows:

Given Expression:

5x + 2 = 30\\\\2(x + 5) = 30\\\\5(x + 2) = 30\\\\2x + 5 = 30

To find:

distance=?

Solution:

5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles}    \\  & \text{ if } \text{after school x miles} \end{cases}

\therefore 5(x+2)=30\\\\

\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\

\bold{x=\frac{20}{4} }\\\\\bold{x=4}

Therefore, the final answer is "4 miles".

Learn more:

brainly.com/question/12186030

8 0
2 years ago
Read 2 more answers
Use the model to solve the percent problem.
luda_lava [24]
30 is 20% of the number 150
4 0
3 years ago
Simplest form for 21/49
tekilochka [14]
21/49
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4 0
3 years ago
Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet
zmey [24]

Answer:

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

hypotenuse^2=perpendicular^2+base^2

hypotenuse^2=(5)^2+(12)^2

hypotenuse^2=25+144

hypotenuse^2=169

Taking square root on both sides.

hypotenuse=13

In a right angled triangle

\sin \theta = \dfrac{opposite}{hypotenuse}

\sin \theta = \dfrac{5}{13}

\sec \theta = \dfrac{hypotenuse}{adjacent}

\sec \theta = \dfrac{13}{12}

In second quadrant only sine and cosecant are positive.

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

6 0
3 years ago
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