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prohojiy [21]
1 year ago
13

Triangle ABC is a right triangle on the coordinate system and its vertices are (−2, 5),

Mathematics
1 answer:
antoniya [11.8K]1 year ago
3 0

Answer: 6

Step-by-step explanation:

A=\frac{1}{2}bh\\A=\frac{1}{2}(4)(3)=\boxed{6}

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There are 420 students. 63 students were out sick. What percent of the student population is ill?
emmainna [20.7K]
To find the percentage,here's what we can do:
\frac{student \: out \: sick}{original \: population} \times 100\%

The percentage would then be:
=63/420×100%
=3/20×100%
=0.15×100%
=15%

Therefore the answer is 15%.

Hope it helps!
3 0
3 years ago
Read 2 more answers
Help! I’ll give extra points:)
Fofino [41]

Answer:

if I'm not wrong I think it's B

3 0
2 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C
Alex787 [66]

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

4 0
3 years ago
A square has a perimeter of 258.8 feet. What is the length of each side?
Lady_Fox [76]

Answer: 64.7

Step-by-step explanation: 258.8 divided by 4

7 0
2 years ago
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