MATHEMATICS HIGH SCHOOL

A line contains the point (-2, 2) and is parallel to the line y = ½x + 8. What is the equation of this parallel line?

Answers

Answer 1
Answer:

Answer:

y = (1)/(2) x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = (1)/(2) x + 8 ← in slope- intercept form

with slope m = (1)/(2)

• Parallel lines have equal slopes , then

y = (1)/(2) x + c ← is the partial equation of the parallel line

to find c, substitute the point (- 2, 2 ) into the partial equation

2 = (1)/(2) (- 2) + c = - 1 + c ( add 1 to both sides )

3 = c

y = (1)/(2) x + 3 ← equation of parallel line

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What is the awnser to X/2=1/2x+5

Answers

Answer:x+10

Step-by-step explanation:

If you grow 523 eggplants and sell 378, how many do you have left?

Answers

145, you subtract the total number with how many you sold
523-378=145
If you grow 523 eggplants and sell 378 of them then you will have 145 left.

523 - 378 = 145

Which is a factor of x^2 + 8x – 48?(x – 6)

(x + 4)

(x – 16)

(x + 12)

Answers

x^2 + 8x - 48 =\n\nx^2 -4x + 12x - 48=\n\nx(x - 4)+12(x-4)=\n\n(x-4)(x+12)

Your answer is D. (x + 2)

Answer:

D

Step-by-step explanation:

What two numbers multiply to 10 and add to -29 ?

Answers

xy=10
x+y=29

subtract x from both sides for second equation

y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

so
x^2+29x+10=0
a=1
b=29
c=10
x=\frac{-29+/- \sqrt{(-29)^(2)-4(1)(10)} }{2(1)}
x= (-29+/- √(841-40) )/(2)
x= (-29+/- √(801) )/(2)
x= (-29+/- 3√(89) )/(2)

x= (-29- 3√(89) )/(2) or (-29+ 3√(89) )/(2)
those are the 2 numbers
aprox=-28.65 and -0.349
There are none. 
You can prove this by graphing. 
xy = 10
y = 10/x

x + y = -29
y = -x - 29

On the graphing calculator, type in
Y1 = 10/x
Y2 = -x - 29

As you can see the two do not intersect.

Find the LCM of 98 and 182.

Answers

Answer:

LCM = 1274

Step-by-step explanation:

98 = 2 × 7²

182 = 2 × 7 × 13

LCM(98 ; 182) = 2 × 72 × 13 = 1274

Steve read a total of 9 books over 3 months. If Steve has read 15 books so far, how manymonths has he been with his book club? Assume the relationship is directly proportional.

Answers

Answer:

5 months

Step-by-step explanation:

9/3=3

15/3=5
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