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3 years ago

Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

Answer:

slope = - $\frac{3}{4}$

Step-by-step explanation:

Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ

To calculate slope m use the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = P(- 2, 4) and (x₂, y₂ ) = Q(6, - 2)

m = $\frac{-2-4}{6+2}$ = $\frac{-6}{8}$ = - $\frac{3}{4}$

egoroff_w [7]3 years ago

3 0

Answer:

-3/4

Step-by-step explanation:

You have to find the slope of the 2 points. You use the formula m=Y2-Y1/X2-X1. You should get -3/4.

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Four friends bought 2 pizzas and 4 large soft drinks. They shared the cost equally. Each pizza cost

valina [46]

Answer:

$7.85

Step-by-step explanation:

2 pizzas at 11.99=23.98

4 soft drinks at 1.85=$7.40

23.98+7.40=31.38

31.38/4=7.845

Each friend pays $7.845, or $7.85 .........

7 0

3 years ago

PLEASE HELP GIVING BRAINLIEST, THANKS, 5 STARS!

forsale [732]

There’s no slope through (5,-4)

4 0

3 years ago

What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically

tensa zangetsu [6.8K]

Remember (a²-b²)=(a-b)(a+b)

solve for a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero

x-3=0
x=3

x+3=0
x=-3

x-√5=0
x=√5

x+√5=0
x=-√5

sub back to find y

(x²-7)=y

for x=3
9-7=2
(3,2)

for x=-3
9-7=2
(-3,2)

for √5
5-7=-2
(√5,-2)

for -√5
5-7=-2
(-√5,-2)

the intersection points are

(3,2)
(-3,2)
(√5,-2)
(-√5,-2)

8 0

4 years ago

The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.

Serggg [28]

Answer:

length = 8

width = 4

Step-by-step explanation:

Area = length x breadth

Let x represent the width

length = x + 4

32 = x × (x + 4)

32 = x² + 4x

x² + 4x - 32 = 0

solving using quadratic equation =

(x² - 4x) -32 + 8x

x = 4 or -8

since width cannot be a negative number, we would use 4

7 0

3 years ago

-1/3x+2x=3 3/4 what does the variable represent?

svet-max [94.6K]

Start off by combining like terms on the LHS (the terms with x in them).

So we get $\frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x$

Replacing this result with what we had before on the LHS, we get $\frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}$

⇒Solve for x (divide both sides $\frac{-5}{3}$ )
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by $\frac{3}{-5}$

⇒ $x= \frac{9}{4}( \frac{3}{-5})
$
⇒ $x= -\frac{27}{20}=-1\frac{7}{20}$ ***This is a proper fraction

4 0

3 years ago

Read 2 more answers