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jeyben [28]
3 years ago
10

Complete the equation of the straight line given below having a slope value of - 2 and passing through the point (4, -1). PLSSS

HELPP Giving brainliest.
Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

  • y=mx+b
  • -1=-2(4)+b
  • b= 7
  • y=-2x+7
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a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still
Ghella [55]
Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.


keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c

what is the speed of the boat?  well, 61 + c = b.
6 0
4 years ago
The fractions 3/4,6/8 ,9/12 , and 12/16 are examples of _____.
g100num [7]

Answer:

Equivalent fractions

Step-by-step explanation:

7 0
3 years ago
What is the width of the rectangle shown below? <br>4x + 3 <br>A = 8x2 – 10x – 12
ozzi

Answer:

<h2><em>2x-4</em></h2>

Step-by-step explanation:

Area of a rectangle = Length * Width

Given parameters

Area A = 8x2 – 10x – 12

Length of the rectangle = 4x+3

Required

Width of the rectangle.

Substituting the given parameters into the formula

8x2 – 10x – 12  = (4x+3)*width

width = 8x2 – 10x – 12 /4x+3

S

Factorizing the numerator

8x² – 10x – 12

= 2(4x²-5x-6)

= 2(4x²-8x+3x-6)

= 2(4x(x-2)+3(x-2))

= 2(4x+3)(x-2)

Width = 2(4x+3)(x-2)/4x+3

Width = 2(x-2)

Width = 2x-4

<em>Hence the width of the rectangle is 2x-4</em>

8 0
3 years ago
Solve 2x&gt;7 please thanks
Montano1993 [528]

Answer:

x > \frac{7}{2}

Step-by-step explanation:

given

2x > 7 ( isolate x by dividing both sides by 2 )

x > \frac{7}{2}

8 0
3 years ago
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What is the answer to the Brain Teaser below
lawyer [7]

Answer:

19

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5 0
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