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Galina-37 [17]
2 years ago
13

The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.

Mathematics
1 answer:
Likurg_2 [28]2 years ago
4 0
Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.

Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
8 = b

Thus,

y = -2x + 8

Answer is B
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If a person drives his car in the speed 50 miles per hour, how far can he cover the distance in 2.5 hours ?
ad-work [718]

Answer:

Hey there!

50 miles = 1 hour

x miles = 2.5 hours

50/1= x/2.5

x=2.5x50

x=125

The car can go 125 miles.

Hope this helps :)

4 0
3 years ago
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A common flea can jump a distance of 33 cm. Suppose a flea makes five jumps of this length in the northwest direction. If the fl
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Solution: 33*5= 165   W= sqrt (165^2 - 88^2)                                                                                                                           Solve: 165^2 = 27225    88^2 = 7744                                                                                                                                 Now, Square root 27225/√ 19481 = <span>139.574353 (139.57)                                                 So, the fleas westward displacement is 139.57 cm</span>                                                                 
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3 years ago
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4x2 = 52
maxonik [38]

Answer:

x=13

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x=-13 and 13

hmm I think

8 0
3 years ago
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4.5, 9, 13.5, 18...
Sladkaya [172]

Answer:

a) Arithmetic

b) 22.5

c) 4.5

d) a_n = 4.5 + 4.5(n - 1)

e) a_15 = 67.5

Step-by-step explanation:

a) Subtract one term by the term right before it, and the difference will be the common difference.

9 - 4.5 = 4.5

13.5 - 9 = 4.5

18 - 13.5 = 4.5

Therefore, the common difference is 4.5.

b) Since the common difference is 4.5, add 4.5 to the 18 (which was the last value given). The result is 22.5.

c) We have already figured out that the common difference is 4.5.

d) The explicit formula would be a_n = a1 + d(n - 1). The first term is 4.5 and d is also 4.5, so the explicit formula is a_n = 4.5 + 4.5(n-1).

e) Plug 15 into our explicit formula for n. a_15 = 4.5 + 4.5(14). The result is 67.5.

5 0
2 years ago
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A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the wat
Inessa05 [86]

Answer:

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

Step-by-step explanation:

velocity of river with respect to ground = 4 mi/h south

\overrightarrow{V_{R,G}}=4(\widehat{-j})

Velocity of swimmer with respect to river = 2 mi/h east

\overrightarrow{V_{S,R}}=2(\widehat{i})

According to the formula of relative velocity

\overrightarrow{V_{S,R}}=\overrightarrow{V_{S,G}}-\overrightarrow{V_{R,G}}

2\widehat{i}=\overrightarrow{V_{S,G}}+4\widehat{j}

Where, V(S,G) be the velocity of swimmer with respect to ground, it is true velocity of swimmer.  

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

5 0
3 years ago
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