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3 years ago

Which number line shows the solution of -4x+ 6> 18?

Mathematics

1 answer:

Cloud [144]3 years ago

6 0

Consider the below figure attached with this question.

Given:

$-4x+6>18$

To find:

The number of line that represents the solution of given inequality.

Solution:

We have,

$-4x+6>18$

Subtracting 6 from both sides, we get

$-4x>18-6$

$-4x>12$

If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.

Divide both sides by -4.

$x$

The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.

So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.

Therefore, the correct option is A.

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I need help on this math

goblinko [34]

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3 years ago

Last answer option is

wel

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4 years ago

The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.

Stells [14]

P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
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3 years ago

Can someone help me with the question in the image. if correct i will mark as brainliest

Alex777 [14]

Answer:

$Multiply~the~length~of~the~leg~by~\sqrt{2}~to~arrive~at~the~length$ $of~the~hypotenuse = 6.$

Step-by-step explanation:

$To~find~the~length~of~the~ hypotenuse,~we~multiply~the~length~of~the~leg$ $by~\sqrt{2}:$

$3\sqrt{2} *\sqrt{2}=3*2=6$

$So~your~answer~to~this~question~is~option"b"$

$Hope~this~helps!$

7 0

3 years ago

Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

3 years ago