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ki77a [65]
2 years ago
5

Triangle ABC is defined by the points A(2,9), B(8,4), and ((-3,-2).

Mathematics
1 answer:
Anettt [7]2 years ago
5 0

The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).

The slope of the segment AB:

\rm m =\dfrac{4-9}{8-2}

m = -5/6

The slope of the line perpendicular to AB:

Let M is the slope of the line:

mM = -1

(-5/6)M = -1

M = 6/5

The line:

y = Mx + c

y = (6/5)x + c

The line passing through the point C(-3, -2)

-2 = (6/5)(-3) + c

c = 8/5

y = (6/5)x + 8/5

5y = 6x + 8

Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

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A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6
Crazy boy [7]

Answer:

To raise exactly $240, the charity needs to sell 20 snacks.

Step-by-step explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

24s+6y=240

If 5 seats are sold, then

24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line 24s+6y=240 and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.

5 0
3 years ago
Anyone help with this please? I need a, b and c
skad [1K]
I hope this helps you

7 0
3 years ago
Flying saucers pizza charges $0.15 per square inch for circular pizzas. If a pizza is measured by the diameter, how much will fl
hjlf
A 7 inch pizza costs $1.05, a 10 inch pizza costs $1.50, and a 14 inch pizza costs $2.10
7 0
4 years ago
The value of y varies directly with x. If x = 4, then y = 32. What is the value of x when y = 128?
pashok25 [27]

Answer:

32/4= 8  (there is a factor of 8 between x and y at all times)

128/8 = 16  (divide y by 8 to find out what x is.

x= 16 when y= 128

Step-by-step explanation:

6 0
3 years ago
Which of the aaa-values satisfy the following inequality?
mina [271]

Answer:

a = 3

Step-by-step explanation:

When you add the given value for a with 7, the resulting answer must be less than 11.

In this case, if: a = 3

Plug in 3 for a in the equation:

7 + a < 11

7 + 3 < 11

10 < 11 (True).

A) a = 3 is your answer.

~

7 0
3 years ago
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