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love history [14]
3 years ago
7

Are the graphs of 6 y = -2x + 4 and y = 6x - 4 parallel perpendicular or neither

Mathematics
1 answer:
timurjin [86]3 years ago
4 0
1st slope is -1/3. 2nd slope is 6

slope is same in parallel lines so not parallel

slopes are negative reciprocals in perpendicular lines so they aren't perpendicular

they are called oblique
You might be interested in
joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each
masya89 [10]
So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
Jeff's\ weight = 86 \frac{2}{3} \ lbs.

Substitute again.
x = 2(86 \frac{2}{3} )-20

Multiply.
x = 173 \frac{1}{3} -20

Subtract.
Joe's\ weight = 153 \frac{1}{3}\ lbs.

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.
Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.
3 0
3 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level.
Bumek [7]

Answer:

16 meters

Step-by-step explanation:

The height function is given by:

h(x)=-(x+1)(x-7)\\h(x)=-(x^2+x-7x-7)\\h(x)=-x^2+6x+7

The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:

\frac{dh(x)}{dx}= h'(x)=-2x+6=0\\x=3

For x = 3 seconds, the height is:

h(3)=-(3^2)+6*3+7\\h(3)=16\ m

The maximum height that the ball will reach is 16 meters.

6 0
3 years ago
Read 2 more answers
Find the earnings rounded to the nearest cent <br>sales: $984 <br>commission: 10%​
Scilla [17]

Answer:

$1082

Step-by-step explanation:

10% of $984

10/100 ($984)= $98.4

Earnings = ($98.4+$984)

Earnings = $1082.4

Earnings = $1082 (to the nearest cent)

6 0
3 years ago
Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng
Thepotemich [5.8K]

Answer:

Length of side of rhombus is x=\frac{ab}{a+b}  

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA        (∵Corresponding angles)

∠CFE=∠CAB        (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

\frac{EF}{AB}=\frac{CF}{AC}

⇒ \frac{x}{a}=\frac{b-x}{b}

⇒ xb=ab-ax

⇒ x(a+b)=ab

⇒ x=\frac{ab}{a+b}

Hence, length of side of rhombus is x=\frac{ab}{a+b}  

6 0
3 years ago
Plz help me well mark brainliest if correct.....????.
vichka [17]
The answer is A, 12. :)
4 0
2 years ago
Read 2 more answers
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