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dedylja [7]
3 years ago
9

Solve the following equation: * -9 (t – 2) = 4(t – 15)

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

6 =t

Step-by-step explanation:

-9 (t – 2) = 4(t – 15)

Distribute

-9t +18 = 4t -60

Add 9t to each side

-9t +18+9t  = 4t+9t -60

18 = 13t -60

Add 60 to each side

18+60 = 13t-60+60

78 = 13t

Divide each side by 13

78/13 = 13t/13

6 =t

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Step-by-step explanation:

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3 years ago
The function f(t)=-16t^(2)+64 represents the height y (in feet ) of a water droplet t seconds after falling from an icicle. Afte
astraxan [27]

Answer:

The answer is two seconds

Step-by-step explanation:

Set the y to 0 as we are looking for the height when f(t) has hit the ground. Then factor and the two zeros of the function are -2 and 2. because the -2 is an answer that that cannot make sense for time in a real world scenario, the answer is the positive zero, or two. :-)

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What is the slope of the line parallel to y= 5x+2.<br><br> A. -1/5<br> B. -5<br> C. 5<br> D. 1/5
oee [108]

Answer:

slope = 5

Step-by-step explanation:

Parallel lines have the same slope

Equation: y = mx + b

So, slope m = 5

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3 years ago
A train leaves the station at 9:00 pm traveling east at 36 miles per hour. A second train leaves the station at 10:00 pm traveli
sveta [45]
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7 0
3 years ago
Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
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