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Vikentia [17]
3 years ago
9

Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in​ slope-inter

cept form, if possible.
Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

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Jamie is hiking up a small mountain. He climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. A
aleksandr82 [10.1K]

Answer:

a. d = 1500 - 300t. b. after 2 hours and after 4 hours

Step-by-step explanation:

a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t  is given by

d = 1500 - 300t.

b.If Jamie distance d = 900 ft, then the equation becomes,

900 = 1500 - 300t

900 - 1500 = -300t

-600 = -300t

t = -600/-300

t = 2 hours

The equation d = 1500 - 300t. also models his distance from the peak of the  mountain if he hikes down at a constant rate of 300 ft/hr

At d = 900 ft, the equation becomes

900 = 1500 - 300t

900 - 1500 = -300t

-600 = -300t

t = -600/-300

t = 2 hours

So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.

So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.

4 0
3 years ago
1/4x – 2 = 3/8 Please show an equation and work. :)
Julli [10]
1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
\frac{x}{4} - 2 =  \frac{3}{8}

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
\frac{x}{4} =  \frac{3}{8} + 2

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
\frac{x}{4} =  \frac{19}{8}

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
x =  \frac{19}{8} \times 4

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
76 \div 4 = 19 \\ 8 \div 4 = 2

Answer in fraction form: \fbox {x = 19/2}
Answer in decimal form: \fbox {x = 9.5}
8 0
3 years ago
Round 431,857 to the nearest ten thousand
Alex Ar [27]

Answer:

i don' think you can

Step-by-step explanation:

3 0
3 years ago
Help me I'm stuck on this problem ​
WITCHER [35]
4913 that’s your answer
5 0
3 years ago
3x + 17 + 5x = 7x + 10
Sphinxa [80]

Answer: x=-3

Step-by-step explanation:

First you add 3x+5x cause they are both variables.They equal 8x.

Then you subtract 7x from both sides to get x+17=10

then you subtract 17 from both sides.

you will get x= -3

Hope that helps!

5 0
3 years ago
Read 2 more answers
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