MATHEMATICS HIGH SCHOOL

Write the equation of a line that passes through the point (-8,2) and is parallel to the line 3x-2y=12

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

-2y = -3x + 12

2y = 3x - 12

y = 3/2x - 6

y - 2 = 3/2(x + 8)

y - 2 = 3/2x + 12

y = 3/2x + 14

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The right triangle shown has angles x, y, and z and side lengths a, b, andc. which equation is not true for this triangle?

Answers

(You forgot to provide the choices!?!)

A.) Cos Z = b/c

B.) Sin X= c/b

C.) Tan X = b/a

D.) Tan Z = a/b

B is the answer, Sin X = c/b is wong because Sin X= b/c ( sin = opposite/ hypotenuse)

Hope this helps.!

Answer:

Sin X = c/b

Step-by-step explanation:

Solve each system of equations using substitution. Show all work.1) y = 2x - 5
4x - y = 7

2) 2x - 3y = 12
x = 4y + 1

3) y = 5 - x
x - 4y = 10

Answers

1.
y=2x-5
sub that for y
4x-(2x-5)=7
distribute
4x-2x+5=7
2x+5=7
2x=2
x=1
sub back
y=2x-5
y=2(1)-5
y=2-5
y=-3

(1,-3)

2. x=4y+1
sub that for x
2(4y+1)-3y=12
8y+2-3y=12
5y+2=12
5y=10
y=2
sub back
x=4y+1
x=4(2)+1
x=8+1
x=9

(9,2)

3. y=5-x
sub that for y
x-4(5-x)=10
x-20+4x=10
5x-20=10
5x=30
x=6
sub back
y=5-x
y=5-6
y=-1
(6,-1)

soluitons

1. (1.-3)
2. (9,2)
3. (6,-1)

Which of the following is Avogadro's number? A. 2.063 x 10^23 B. 6.023 x 10^22 C. 6.022 x 10^23 D. 2.063 x 10^22