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3 years ago

Help please... I don’t understand.

Mathematics

1 answer:

Sindrei [870]3 years ago

7 0

You need to use the method of keep change and flip

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Show that the points A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle. Find the area of ∆ABC

EastWind [94]

Answer:

the area of ∆ABC = 9

Step-by-step explanation:

$CA=\sqrt{\left( -1-2\right)^{2} +\left( 2-5\right)^{2} } = \sqrt{18} =3\sqrt{2}$

$CB=\sqrt{\left( 5-2\right)^{2} +\left( 2-5\right)^{2} } = \sqrt{18} =3\sqrt{2}$

<em>Since</em> CA = CB <em>then</em> A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle.

Area calculation:

Let The point H be the midpoint of side AB

$x_{H}=\frac{-1+5}{2} =2\\y_{H}=\frac{2+2}{2} =2$

Then

H(2 , 2)

therefore,

$CH=\sqrt{\left( 2-2{}\right)^{2} +\left( 2-5\right)^{2} } =3$

Finally,

$\text{the area of triangle ABC} =\frac{\text{CH} \times \text{AB} }{2} =\frac{3\times 6}{2} =9$

5 0

2 years ago

Let P = (3, 2, −2) and Q = (7, 9, 9). Find the coordinates of the following. The point on the line through PQ whose distance fro

egoroff_w [7]

Answer:

point A ON THE LINE PQ is ( 11,16,20)

Step-by-step explanation:

GIVEN DATA:

P (3,2, -2)

Q(7,9,9)

SUPPOSE point A has a cordintates (x,y,z)

given that AP = 2AQ

Q is midpoint of AP

So we have $\frac{(x,y,z)+(3,2,-2)}{2} = (7,9,9)$

x+3 = 14.........1

y+2= 18..........2

z-2 =18...........3

x = 11 from equation 1

y = 16 from equation 2

z = 20 from equation 3

Therefore point A ON THE LINE PQ is ( 11,16,20)

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3 years ago

Here is the histogram of a data distribution.

Doss [256]

Answer:

Uniform

Step-by-step explanation:

We don't have any peaks in the histogram, so its neither unimodal or bimodal leaving only uniform as the answer.

3 0

3 years ago

If you are heading off to college discuss who will be paying for it, where you will live, what your intended major will be, and

Lilit [14]

Answer:I think it’s telling you to discuss this stuff with your family, idt this is a question I can really answer

Step-by-step explanation:

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3 years ago

What is the answer to 21x-14

serg [7]

Answer:

7(3x-2)

Step-by-step explanation:

you can factor it down with GCF ( Greatest common factor)

3 0

3 years ago

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