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Lisa [10]
3 years ago
7

Number 8 and 9 please

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

8.option \: b

9.option \: d

Step-by-step explanation:

HOPE IT HELPS YOU

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Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs
Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}

AB \approx 7.616

BC

BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}

BC \approx 6.325

AC

AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}

AC \approx 5.831

Now we determine the area of the triangle by Heron's formula:

A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)} (1)

s = \frac{AB+BC + AC}{2} (2)

Where:

A - Area of the triangle.

s - Semiparameter.

If we know that AB \approx 7.616, BC \approx 6.325 and AC \approx 5.831, then the area of the triangle is:

s \approx 9.886

A = 18

The area of the triangle is 18 square units.

7 0
3 years ago
Find the value of x that makes ABCD a parallelogram.
daser333 [38]

Answer:

the answer is 6

Step-by-step explanation:

5x+150=180( cointerrior angle of traingle)

5x=30

x=6

7 0
2 years ago
What are the zeros of the quadratic function f(x) = 6x^2 + 12x - 7?
Sergeeva-Olga [200]

Answer:

-12 + √(144- 4(-42)/12

-12 + √312/12

-12 + 17.6 / 12

= +.47 and -.47

4 0
3 years ago
Please helpppppp i have trouble with math
Andrej [43]

Answer:

6

Step-by-step explanation:

a right triangle's area is half of a square's.

(4*3)/2

6

6 0
3 years ago
I need help showing steps to solve 36v-12=12
Ad libitum [116K]
36v - 12 = 12 .....add 12 to both sides
36v - 12 + 12 = 12 + 12...simplify
36v = 24...divide both sides by 36
(36/36)v = 24/36
v = 2/3 <===
8 0
3 years ago
Read 2 more answers
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