Pls help I’m stuck on this question

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Answer: B) y=1/4x+7/2

Step 1: Slope

Knowing that the equation will be perpendicular to the one given will only give us the slope. Perpendicular means that the slope will be opposite to what it is now.

The opposite of -4 (the current slope) is 1/4. Even knowing only this will tell us that the answer is b, but I will continue to explain for when no options are given.

Step 2: Y-intercept

Now that we know the slope, the perpendicular aspect of this equation will no longer be of any help.

To find the y-intercept, we need to substitute y and x with the point given.

Our current equation is— y= 1/4x+b

Let’s substitute the point into this. The point (-2,3) tells us that the y-value is 3 and the x-value is -2.

y= 1/4x+ b

3=1/4(-2)+b

3 = -1/2 +b
+1/2 +1/2
__________
3 1/2 =b

Step 3: Improper fraction

Being that it is preferred to leave fractions improper, let’s turn 3 1/2 into an improper fraction. This will turn into 7/2 (comment below if you need an explanation of how to do this)

Final answer: now that we know that the slope is 1/4 and the y-intercept is 7/2, we know that our equation will be y=1/4x+7/2

Hope this helps comment below for more questions:)

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Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de

attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: $\frac{x}{12\pi } = \frac{130}{360}$

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) $\frac{arclength}{2\pi.r } = \frac{mAB}{360}$ , where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = $\frac{mAB.2.\pi.r }{360}$

arc length = $\frac{90.2.3.14.6}{360}$

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An arc length is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

$\frac{x}{2.6.\pi } = \frac{130}{360}$