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vichka [17]
3 years ago
5

Solve for the missing variable

Mathematics
1 answer:
klio [65]3 years ago
8 0

Answer:

Step-by-step explanation:

where is the equation?

You might be interested in
The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Sliva [168]

Answer:

\huge{ \boxed{ \bold{g =  - 2}}}

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

m =  \frac{y_2 -y_ 1}{x_2 -x_1 }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

\frac{3}{2}  =  \frac{5 -  - 1}{2 - g}  \\  \frac{3}{2}  =  \frac{5 + 1}{2 - g }  \:  \:  \:  \:  \:  \:  \:  \frac{3}{2}  =  \frac{6}{2 - g}  \\  \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\  - 3g = 12 - 6 \\  - 3g = 6 \\  \\  \frac{ - 3g}{ - 3}  =  \frac{6}{ - 3}  \\  \\ g =  - 2

We have the final answer as

<h3>g = - 2</h3>

Hope this helps you

7 0
1 year ago
A rectangular garden is 17 feet wide. Its length is 3 feet more than twice the width. What is the area of the garden?
sleet_krkn [62]

Answer:

a = 629

Step-by-step explanation:

a = w * L

w = 17

L = 2w + 3

a = (17) * (2w + 3)

a = (17) * (2(17) + 3)

a = 17 * (34 + 3)

a = 17 * (37)

a = 629

6 0
3 years ago
A hot air balloon went from an elevation of 4,064 feet to an elevation of 3,322 feet in 28 minutes. What
ELEN [110]

Answer:

<em>The air balloon descends 26.5 feet per minute</em>

Step-by-step explanation:

<u>Rate of Change</u>

The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.

The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:

\displaystyle R=\frac{3,322-4,064}{28}=\frac{-742}{28}=-26.5

Thus the air balloon descends 26.5 feet per minute

3 0
3 years ago
How long does it take an SR-71 Blackbird to make a surveillance run of 10,026 miles if it travels at an average of 2,228 mph
g100num [7]
This is simple division:
t = \frac{10026}{2228}

So, plug it into your calculator and you get:
t = 4.5

Your answer's that it takes 4.5 hrs for the surveillance run.
4 0
2 years ago
Are they unique more than one or no triangle
Tanya [424]
The measures of the angles of a triangle add to 180.

45 + 45 + 90 = 180
The measures of these three angles do add to 180, ,so there is at least one triangle with these angle measures.
Using AA triangle similarity, any triangle with the same angle measures will be similar.

From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.
8 0
3 years ago
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