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2 years ago

Express ✓ – 75 in its simplest form.

Mathematics

1 answer:

timofeeve [1]2 years ago

3 0

Step-by-step explanation:

The correct answer is 5i $\sqrt{3}$

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1. ΔABC and ΔDEF are similar = Given

deff fn [24]

I think the answer is d. The slope of AC=Slope of DF.

Hope this helped☺☺

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2 years ago

Read 2 more answers

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago

Match the graph with its equation.

victus00 [196]

Answer:

Step-by-step explanation:

This is a y=x plot/line shifted by 7 units.

This can also be verified plugging in the values of x=0,y=-7 and x=7,y=0. The only equation which satisfies these points in Equation B. These points have been chosen as they're the intercepts of this plot.

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3 years ago

Read 2 more answers

What is an equation that can be written with 10x+5y=20 to form a pair of linear equations

Lady bird [3.3K]

Y=2x+4 This is the equation

3 0

3 years ago

Math expressions that equal 13

qaws [65]

Step-by-step explanation:

There can be a lot of math expressions that may equal 13. Here are some of the expressions that equal 13.

9 + 4 = 13

15 - 2 = 13

1 × 13 = 13

Now, let us consider some interesting expression

$x^3-x^2+x+7$

If the value of x = 2, then the expression will be equal to 13.

i.e.

$2^3-2^2+2+7=13$ ∵ when x = 2

Considering a word problem

<em>'Tom has 10 oranges while Tony has 3 more oranges than Tom. How many oranges Tony has?</em>

Let 'x' be the number of oranges Tom has.

The number of oranges Tony has = x + 3

as Tom has 10 oranges, so x = 10

Therefore, the number of oranges Tony has = x + 3

= 10 + 3 = 13

Therefore, the number of oranges Tony has = 13

7 0

2 years ago