A triangle has vertices on a coordinate grid at A(-8, -10), B(9, -10), andC(9,-3). What is the length, in units, of AB?

Answers

Answer 1

Answer:

The length of line AB is 17 units which is one side of a triangle.

What is a triangle?

A triangle is a closed 2D figure formed by joining three non-co-linear points. By the property of sides, triangles are of three types they are:- Equilateral triangle, Isosceles triangle, and scalene triangle.

We know the length of two given pairs of points can be determined by the distance formula which is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2$ .

Given are the points of the vertices of a ΔABC are A(-8, -10), B(9, -10), and

C(9,-3).

∴ The length of line AB is,

= $√((9 + 8)^2 + ( -10 + 10)^2)$ units.

= $√(17^2)$ units.

= 17 units.

learn more about triangles here :

brainly.com/question/2773823

#SPJ5

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Rachel's cell phone company charges $0.10 per minute . She used 350 minutes last month and paid $84. Write and solve a linear equation to fins what her bill will be if she uses 300 minutes next month .

Answers

300 min = $X
350 min = $84
now cross multiply
350 * x = 300*84
x = 25200/350
x = $72 Answer

20a + 158 + 6c = 20 (6) +15(4) + 6(8)
?
?
+
?
2
+
?

Answers

a=7/2-3/10

Step-by-step explanation:

20a +158+6c= 120+60+48

20a +158+6c=228

20a =228-158-6c

20a =70-6c

a= 7/2 - 3/10

Answer:

120 + 60 + 48 would be the correct answer !

Step-by-step explanation:

5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?

Answers

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600, 600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e. $(x)/(75)$ = $(8)/(10)$

x = $(75 * 8)/(10)$

x = 60

∴ The distance is 60 km.

Hope this helps!!!

Which of the following points is a solution of y > |x| + 5?a. (0, 5)
b. (1, 7)
c. (7, 1)

Answers

You can do this one simply just by plugging in the values of x and y for each answer.
Note: (0,5) is just a way to right x=0 and y=5

Try answer A (0,5)
$y\ \textgreater \ |x|+5$
$5\ \textgreater \ |0|+5$
$5\ \textgreater \ 0+5$
$5\ \textgreater \ 5$
This is not true. 5 is not bigger than 5 so A is not the answer

Try answer B (1,7)
$y\ \textgreater \ |x|+5$
$7\ \textgreater \ |1|+5$
$7\ \textgreater \ 1+5$
$7\ \textgreater \ 6$
This is true so answer B works!

Might as well try answer C (7,1)
$y\ \textgreater \ |x|+5$
$1\ \textgreater \ |7|+5$
$1\ \textgreater \ 7+5$
$1\ \textgreater \ 12$
1 is obviously not greater than 12 so C does not work

The answer is B (1,7)

For each equation, choose the statement that describes its solution. if applicable, give the solution.5(y+1)-7 = 3(y-1)+2y

no solution

y = ?

all real numbers are solutions

Answers

Answer:

This equation has no solution.

Step-by-step explanation:

Perform the indicated multiplication: 5(y+1)-7 = 3(y-1)+2y

We get 5y + 5 - 7 = 3y - 3 + 2y. Subtracting 5y from both sides yields -2 = -3, which is never true. This equation has no solution.

Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?

Answers

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