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Tatiana [17]
3 years ago
11

Need help quick, please?

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0
Remember that the general formula for a circle is <span> 
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center. 
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2). 
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
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yanalaym [24]

Answer:

Step-by-step explanation:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height hope this helped somehow ;-; sry if not

8 0
3 years ago
Can someone please help me​
4vir4ik [10]

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

\frac{80-20}{40-10}  = \frac{60}{30}  = 2

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

3 0
2 years ago
A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​
pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

6 0
2 years ago
If i have 4 cookies and 8 friends, what part of a cookie will each friend get?
kaheart [24]

Hey there

the answer is

if there are 4 and 8 people

split each cookie so that everyone will get a half :)

thank you

OFFICIALLYSAVAGE2003

3 0
3 years ago
If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?
nikdorinn [45]

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

8 0
3 years ago
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