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MAVERICK [17]
3 years ago
7

Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5, −3).

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

y = mx + b, where m = slope, and b = y-intercept.

Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)

y = (4/5)x + b

-3 = (4/5)(-5) + b

-3 = -4 + b

1 = b


Then replace b in the first equation to get the answer

y = (4/5)x + 1

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If yo travel56mph how far will you go in2hr15min how long does it take to cover 168 miles
Alex73 [517]
2 hr 15 min = 2 \frac{1}{4} hours = 2.25 hours
"how far" means distance ... so distance = rate x time
distance = 56 x 2.25 = 126 miles

"how long" means time ... so using the same formula 
168 = 56 x time
divide both sides of the equation by 56 to solve
3 hours = time

5 0
3 years ago
Find the value of x such that the data set has the given mean. 98,122,104,115,107,x,102 x=(Type an integer or a​ decimal.)
dedylja [7]

Answer:

x = 66

Step-by-step explanation:

For a set of N numbers:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

M = \frac{x_1 + x_2 + ...+ x_n}{N}

In this case we have the data set:

{98, 122, 104, 115, 107, x}

And I assume that we want to have the mean = 102.

So we have a set of 6 numbers, the mean of this set will be:

M = \frac{98 +122+104+115+107+x}{6} = 102

We need to solve this equation for x.

If we multiply both sides by 6, we get:

(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612

546 + x = 612

x = 612 - 546 = 66

x = 66

5 0
3 years ago
Evaluate: x(y – z) for x = 3, y = 9, and z = 2<br> O 33<br> O 45<br> O-21<br> O 21
ad-work [718]

Answer:

21

Step-by-step explanation:

Hi there!

We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2

As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.

So substitute 3 as x, 9 as y, and 2 as z in the expression above

x(y-z)

3(9-2)

Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)

3(7)

Now multiply 3 and 7 together

<u>21</u>

Hope this helps!

3 0
3 years ago
16-2v+3 what is the answer pls help
djyliett [7]

Answer:

the answer is 19-2v combine like terms if not that then try this....

19-2y=0

-2y=-19

Then divide by -2

y=-19/-2

=9.5

4 0
3 years ago
E=300-10 (30)<br> How to solve it step by step
Zepler [3.9K]

Answer:

Step-by-step explanation:

e = 300-10(30)

e = 300 - 300

e = 0

6 0
3 years ago
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