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3 years ago

Come graphs find the value of h,k, or a

Mathematics

1 answer:

TEA [102]3 years ago

8 0

Answers:

Translation 3 units up
k = 3

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Explanation:

The y intercept of the black f(x) curve is at (0,1)

The y intercept of the blue curve is at (0,4)

To go from y = 1 to y = 4, we add 3

So we shift 3 units up to go from the f(x) curve to the g(x) curve.

The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.

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Convert 4(cos(150°) + isin(150) into rectangular form.

salantis [7]

Answer:

The rectangular form of $4[cos(150^{o})+i sin (150^{o})]$ is $-2\sqrt{3}+2i$ .

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3 years ago

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I NEED HELP PLEASE, THANK YOU!

bixtya [17]

Answer:

$\sqrt{37}$

Step-by-step explanation:

To find the distance between a point (m, n ) and the line

Ax + By + C = 0

d = $\frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n) = (6, 2) and rearranging the line

6x - y + 3 = 0 ← in general form

with A = 6, B = - 1 and C = 3 , then

d = $\frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{37}{\sqrt{37} }$

Rationalise the denominator by multiplying numerator/ denominator by $\sqrt{37}$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

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3 years ago

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12/15= /5 write the equivalent fraction

viktelen [127]

Answer:

24/30

48/60

96/120

Step-by-step explanation:

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3 years ago

You work for a landscaping company and will be installing a fence around a customer’s yard. The yard is rectangular and is 45 fe

MrMuchimi

Answer:

250ft

Step-by-step explanation:

45ft + 45ft of fencing for the two short ends. 80ft +80ft for the two long sides

45ft+45ft=90ft

80ft+80ft=160ft

90ft+160ft=250ft

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3 years ago

Solve the following quadratic function<br> by utilizing the square root method.<br> y = 16 – x2

xxMikexx [17]

Answer:

The solutions are x = -4 and x = 4.

Step-by-step explanation:

Solving a quadratic equation:

We have to find x for which $y = 0$ .

In this question:

$y = 16 - x^2$

$16 - x^2 = 0$

$x^2 = 16$

$x = \pm \sqrt{16}$

$x = \pm 4$

The solutions are x = -4 and x = 4.

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3 years ago