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jolli1 [7]
4 years ago
5

If the sum of a number and six is doubled, the result is eight less than the number

Mathematics
1 answer:
LekaFEV [45]4 years ago
8 0
(x+6)2 = x - 8
give me one moment
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The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi
mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

m_1=-\frac{1}{m_2}

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

y-y_1=m_1(x-x_1)

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:

y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}

And that last function of y is the line m.

8 0
1 year ago
Four less than the product of 7 and a number is equal to 8 Use the variable b for unknown number
Akimi4 [234]

Answer:12/7

Step-by-step explanation:

7b-4=8

7b-4+4=8+4

7b=12

b=12/7

3 0
3 years ago
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous
Allushta [10]

Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2

7 0
3 years ago
Complete the proof. <br> Given
Sonja [21]

Answer:

2. it's a rectangle so Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

3. same size same shape

Step-by-step explanation:

4 0
3 years ago
Given that f(x) = 6x +1, find (f of)(-2).<br> (f of)(-2)<br> | (Simplify your answer.)
irakobra [83]

Answer:

(f of)(-2) = -65

Step-by-step explanation:

<u>Set up (f of)(-2)</u>

(f o f)(-2) = f(f(-2))

<u>Once you get (fof)(-2) you then have f(#)</u>

f(6(-2) + 1) = f(-11)

6(-11) + 1 = -66 + 1 = -65

8 0
3 years ago
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