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laila [671]
3 years ago
14

11k - 8 = 11 + 8 ( k + 9 )

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

k = \frac{91}{3}

Step-by-step explanation:

Expand.

11k - 8 = 11 + 8k + 72

Simplify 11 + 8k + 72 to 8k + 83.

11k - 8 = 8k + 83

Add 8 to both sides.

11k + 8k + 83 + 8

Simplify 8k + 83 + 8 to 8k + 91.

11k = 8k + 91

Subtract 8k from both sides.

11k - 8k = 91

Simplify 11k - 8k to 3k.

3k = 91

Divide both sides by 3.

k = \frac{91}{3}

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What is the equation of the line containing points (-4,3) and (7,5)
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Use the slope formula and slope-intercept form
y=mx+b
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y=2/11x + 4/11

Hope this helps
3 0
3 years ago
The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird
svlad2 [7]

Answer:

Average\ Change = -1\frac{7}{10} ft/s

Step-by-step explanation:

Given

Altitude\ Change = -4\frac{1}{4} \ ft

Time = 2\frac{1}{2}\ s

Required

Determine the average change

This is calculated as follows:

Average\ Change = \frac{Altitude\ Change}{Time}

This gives:

Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}

Average\ Change = -4\frac{1}{4}/2\frac{1}{2}

Convert to improper fractions

Average\ Change = -\frac{17}{4}/\frac{5}{2}

Convert to multiplication

Average\ Change = -\frac{17}{4}*\frac{2}{5}

Average\ Change = -\frac{17}{2}*\frac{1}{5}

Average\ Change = -\frac{17}{10}

Average\ Change = -1\frac{7}{10} ft/s

8 0
3 years ago
Solve similar triangles (advanced)<br> Solve for x<br> x=?
lesya692 [45]

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

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Divide both sides by 10

x = 12/10

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8 0
3 years ago
Look at the incomplete multiplication problem below.
USPshnik [31]
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4 0
3 years ago
Read 2 more answers
How many 3/4 ounce spoonfuls of sugar<br> are in a 5 1/2 ounce bowl?<br> show work please
klasskru [66]

Answer: \frac{22}{3}

Step-by-step explanation: Divide

5\frac{1}{2}\div \frac{3}{4}

Step 1: Convert the mixed number to improper fraction

5 \frac{1}{2} =\frac{11}{2}

= \frac{11}{2}\div \frac{3}{4}

Step 2: Reciprocal

\frac{11}{2}\times \frac{4}{3}

Step 3: Divide the common factors

4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}

Step 4: Multiply

\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}

5 0
3 years ago
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