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3 years ago

What is the scale factor from Figure AAA to Figure BBB? please 3

Mathematics

1 answer:

sveta [45]3 years ago

3 0

Answer:

1:3

Step-by-step explanation:

9:3=3

3.6:1.2=3

A is 3 times greater than B. It means that the scale factor from A to B is 1:3

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A circle is centered at the point (-7, -1) and passes through the point (8, 7).

Lisa [10]

Answer:

Part 1) The radius of the circle is 17 units

Part 2) The point (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from a circle's center to any point on the circle is called the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance (radius) between the points (-7,-1) and (8,7)

substitute in the formula

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{(289}\ units$

$r=17\ units$

step 2

Find the equation of the circle in center radius form

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center of the circle

r is the radius of the circle

we have

$(h,k)=(-7,-1)\\r=17\ units$

substitute

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Remember that

If the point (-15,y) lie on the circle, then the ordered pair must satisfy the equation of the circle

substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

solve for y

$(-8)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=225$

take square root both sides

$y+1=(+/-)15\\y=-1(+/-)15$

$y=-1+15=14\\y=-1-15=-16$

therefore

The point (-15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem

8 0

4 years ago

A single six-sided die is rolled. Find the probability of rolling a seven

suter [353]

Answer:

Step-by-step explanation:

according to the mathematical encyclopedia written by Albert Einstien, if a single six sided die is rolled, the probability of rolling a seven is 0 because the dice has six sides. 1,2,3,4,5,6. NO SEVEN!!!

3 0

4 years ago

Read 2 more answers

Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for x and BD. Give both answers b

AnnyKZ [126]

Answer:

x = 10 and BD = 74

Step-by-step explanation:

AE and CE are equal, so we can set those 2 values equal to each other to find x.

3x + 7 = 37

3x = 30

x = 10

BD will be equal to AE + CE because that is a property of the rectangle.

So AE + CE = 37 + 37 = 74.

BD = 74

4 0

3 years ago

A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at nigh

Shalnov [3]

The given data are:

70% of single-vehicle traffic fatalities that occur at night on weekends involve an intoxicated driver. If a random sample of 15 single-vehicle traffic fatalities that occur at night on a weekend is selected, the probability that 11 involve a driver who is intoxicated is:

(11/15) * 0.70 = 0.513

8 0

4 years ago

How do you solve this? Please helppp what’s the answer???

ANEK [815]

Answer:

I won't be able to give you a numerical answer but that's not what your question's asking anyway. Just put a dot at the coordinates (0,-3) and one at (-2,3) and connect them. That's your first line. For the second question put a dot at the intersections (0,1) and one at (-4,-3) and connect them. You should be able to find a point where the two lines intersect. That's the point you need. If you still can't find it, then continue the lines or message me at riztofu on insta. I'll solve your question then.

Step-by-step explanation:

4 0

3 years ago