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Galina-37 [17]
3 years ago
7

what is the length of the longest side of a triangle that has vertices at (-3,-1), (2,-1), and (-3,-7)?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

\large\boxed{\sqrt{61}\approx7.81}

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points:

A(-3, -1), B(2, -1) and C(-3, -7).

Substitute:

AB=\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{5^2+0^2}=\sqrt{25}=5\\\\AC=\sqrt{(-3-(-3))^2+(-7-(-1))^2}}=\sqrt{0^2+(-6)^2}=\sqrt{36}=6\\\\BC=\sqrt{(-3-2)^2+(-7-(-1))^2}=\sqrt{(-5)^2+(-6)^2}\\=\sqrt{25+36}=\sqrt{61}\\\\\sqrt{61}>6\ \text{because}\ 6^2=36

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Please help thank you​
nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

(x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract x^2(x-2) from the original expression, leaving you with 9x^2+2x-40.

Next, subtract 9x(x-2) from the expression, leaving you with 20x-40. Finally, subtract 20(x-2) from the expression, leaving you with a remainder of 0. This means that the real quotient is x^2+9x+20. Hope this helps!

6 0
3 years ago
What is the reflection of point P(-1, 6) across the line y = x?
gladu [14]
If you are reflecting across the line y = x, then the x value becomes the y-vale and the y-value becomes the x-value.  So the answer would be  (6, -1)  (Just trade places with x and y.)
3 0
2 years ago
Ricky is filling an 8 inch by 4 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two
RideAnS [48]
First find the volume of the box: 8•4•4.5=144 cubic inches.
8 of the 1/8 inch=1 of the 1 cubic inch
He could do 144 and 0
143 and 8
142 or 16
Or just keep following the pattern... Hope that helped
8 0
2 years ago
Hey i need help! no stupid answers!
Ahat [919]
Your first equation would be:
65 + 3x - 10 + 2x = 180
Then simplify to get:
5x + 55 = 180
Subtract 55 from each side:
5x = 125
Now divide by 5 to find x:
x = 25

The measure of angle B = 65
The measure of angle C = 50

Hope this helps!! :)
8 0
3 years ago
Read 2 more answers
Item 16
alexdok [17]

Answer:

Step-by-step explanation:

Given that the dresser is in shape of a rectangular prism

Note that, a rectangular prism has a shape of a cuboid

So, area of the rectangular prism is same as area of a cuboid

A = (2LB + 2LH + 2BH)

Where

L is length

B is breadth

H is height

Then, given the dimension of the rectangular prism to be

2ft by 2ft by 6ft

Then, you can assume that,

Length L = 2ft

Breadth B = 2ft

Height H = 6ft.

NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.

Then,

A = (2LB + 2LH + 2BH)

A = (2×2×2 + 2×2×6 + 2×2×6)

A = (8 + 24 + 24)

A = 56 ft²

The total surface area of the dresser is 56ft²

8 0
3 years ago
Read 2 more answers
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