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3 years ago

Find the lengths of the sides of the triangle if the vertices of EFG are E(-2,-3), F(-2,2) and G(3,2). Find the lengths of FG

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

Answer:

FG=5

Step-by-step explanation:

Use distance formula FG=√(3+2)² +(2-2)²=√25=5

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

diamong [38]

Answer:

A-2, B-DNE*, C-3, D-DNE, E-4, F-1

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The first attachment shows the solutions to A and C.

The second attachment shows the solutions to E and F.

There are no real number solutions to systems B and D.

_____

In general, you can solve the linear equation for y, then substitute that into the quadratic. You can subtract the x-term on the left and complete the square to find the solutions.

(3-x) +12 = x^2 +x

15 = x^2 + 2x

16 = x^2 +2x +1 = (x +1)^2 . . . . add the square of half the x-coefficient to complete the square; next take the square root

±4 -1 = x = {-5, 3) . . . . . identifies the second solution set for system A

(x -1) -15 = x^2 +4x

-16 = x^2 +3x

-13.75 = x^2 +3x +2.25 = (x +1.5)^2

roots are complex: -1.5 ±i√13.75

(1-2x) +5 = x^2 -3x

6 = x^2 -x

6.25 = x^2 -x + .25 = (x -.5)^2

±2.5 +.5 = x = {-2, 3} . . . . . identifies the third solution set for system C

remaining problems are done in a similar way.

_____

* DNE = does not exist. There is no matching solution set for the complex numbers that are the solutions to this.

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Hope this helps!

Brainliest would be great!

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With all care,

07x12!

4 0

3 years ago

In the figure below which term best describes point X?

Dmitrij [34]

The answer is B. centroid, which is the intersection of three medians of the triangle's sides.

Let's look into other answers as well:

A. Circumcenter

It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.

The first photo is what a circumcenter looks like:

C. Incenter

It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.

The second photo is what a incenter looks like:

D. Orthocenter

It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.

The second photo is what a Orthocenter looks like:

Therefore the answer is B. Centroid.

Hope it helps!

3 0

3 years ago

Which angles are vertical angles in the figure shown? Select two answers.

sukhopar [10]

Answer:

B and C

Step-by-step explanation:

Vertical angles are formed when you make lines make an x shape (or a turned x shape). The vertical angles are, on a normally positioned x the top and bottom angle, as well as the left and right angle. so every x has 2 vertcial angles unless the x is further split up.

So the part with angles 1. 2. 3 and 4 the top angle is 2, the bottom is 3, the left angle is 1 and the right angle is 4. This means the vertical angle pairs are 1 and 4 as well as 2 and 3.

So in total there are 2 x shapes, so 4 pairs of vertical angles. Here are all the vertical angles.

1 and 4

2 and 3

5 and 8

6 and 7

So from your choices you have 2 and 3 as choice B and 5 and 8 as choice C.

8 0

3 years ago

Find the sum of the first 6 terms of the following series, to the nearest integer.

natka813 [3]

Answer:

1008

Step-by-step explanation:

geometric sequence:

a=16

r=32/16=2

Sum of GS:

s=a(1-r^n)/(1-r)

S(6)=16(1-2^6)/(1-2)

=1008

8 0

3 years ago

1) Explain the Distributive Property in your own words.

kenny6666 [7]

Answer:

The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.

5(10+x)=5(10)+5(x)=50+5x

6 0

3 years ago