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Damm [24]
3 years ago
11

Determine the slope and y-intercept of each line.

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

Step-by-step explanation:

y + 2 = 4(x - 1)

y + 2 = 4x - 4

y = 4x - 4 - 2

y = 4x - 6

Comparing with y = mx + c

Where m is the slope and c the intercept

Slope m = 4 and c = -6

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CRITICAL THINKING The total area of the polygon is 176 square feet. What is the value of $x$ ?
Katarina [22]

Answer:

x = 6

Step-by-step explanation:

this figure involves two triangle and one rectangle

for area of rectangle= Length * Width = 16 * 8 = 128 feet^2

for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x

for two triangles = 8x ft^2 total

whole area = two triangles + one rectangle

176 = 8x + 128

8x =48

x = 6

8 0
3 years ago
In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were consi
valentina_108 [34]

Answer:

The answer is "0.4329 ".

Step-by-step explanation:

P( three in favor of FA)

Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges  

=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2  \times 1\times 3!}\times \frac{5  \times 4  \times 3!}{2 \times 1 \times 3!}}{\frac{11  \times10  \times 9  \times 8 \times 7  \times 6! }{5 \times 4 \times 3  \times 2  \times 1 \times 6!}}\\\\

=\frac{ (5 \times 4) \times(5  \times 2)}{(11  \times 3  \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329

6 0
3 years ago
How did the temperature change if: at first it decreased by 60% and then increased by 80%. PLEASE NEED HELP!
Sergio039 [100]

The temperature decreased by 28%

Step-by-step explanation:

How did the temperature change if :

  • At first it decreased by 60%
  • Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→  Before decreasing  :  decreasing  :    after decreasing

→  100%                         :  60%              :    100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→  After decreasing  :  increasing  :    after increasing

→  100%                      :  80%             :   100% + 80% = 180%

→  40%                        :                       :   x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% = \frac{(40)(180)}{100}

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

The temperature decreased by 28%

Learn more:

You can learn more about ratio in brainly.com/question/2707032

#LearnwithBrainly

5 0
3 years ago
A bottle of vitamins should have 60 vitamins. The actual number is 62. What is the percent error to the nearest hundredth?
Phoenix [80]

Answer:

3.33%

Step-by-step explanation:

(62/60)X100=103.33 meaning the bottle was overfilled by 3.33%

Brainliest please

8 0
3 years ago
Read 2 more answers
What is the difference between a $20,000 and a $30,000 annual salary over a lifetime
Lelu [443]
10,000 dollars is the answer
7 0
3 years ago
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