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3 years ago

A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is

1 answer:

3 0

We are given with the data of a parabola with vertex at (2, 2) and directrix at <span>y = 2.5. the formua should be ax^2 + b x + c = y because of the directrix.

(x-h)^2 = 4a (y-k)
(x-2)^2 =4a (y-2)
a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to -0.5
then the answer is
</span>(x-2)^2 =-0.5*4 (y-2)
<span>x2 - 4x + 4 = -2y +4
x2-4x+2y = 0

answer is C

</span>

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What is the equation of a line passing through (-3, 7) and having a slope of -1/5.

Elden [556K]

M = - 1/5
y = m x + b
7 = - 1/5 · ( - 3 ) + b
7 = 3/5 + b
b = 7 - 3/5
b = 35/5 - 3/5
b = 32/5
The equation is:
y = - 1/5 x + 32/5 or : y = - 0.2x + 6.4

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3 years ago

The diagram shows a square ABCD.

sergij07 [2.7K]

Answer:The diagram shows a square ABCD.

Mis the midpoint of AB.

Nis the midpoint of AD.

The area of the shaded triangle AMN is 18 cm

Work out the area of triangle MCN.

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Step-by-step explanation:

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3 years ago

140% as s fraction or mixed num ber

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140% as a fraction would be $\frac{7}{5}$

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3 years ago

Read 2 more answers

In a regular triangle ABC with side 1, two squares MNKL, RKPT are drawn such that points M, L, R are on the side AC (the order o

Orlov [11]

Answer:

MN = (21 -6√3)/37 ≈ 0.286694
RK = (14√3 -12)/37 ≈ 0.331046

Step-by-step explanation:

In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...

AM = LR = x/√3

RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x

Then the sum of lengths along AC is ...

AC = AM +ML +LR +RC

1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)

Then the value of x is ...

$x=\dfrac{3\sqrt{3}}{7\sqrt{3}+6}=\dfrac{3\sqrt{3}(7\sqrt{3}-6)}{(7\sqrt{3})^2-6^2}=\dfrac{3(21-6\sqrt{3})}{3(49-12)}\\\\\boxed{MN=\dfrac{21-6\sqrt{3}}{37}}\\\\RK=\dfrac{2\sqrt{3}}{3}MN\\\\\boxed{RK=\dfrac{14\sqrt{3}-12}{37}}$

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3 years ago

The slope of a direct variation function is -4. What is the equation of the function?

Doss [256]

Answer:

The Answer is y=-4x

Step-by-step explanation:

have a good day ♡

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2 years ago