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S_A_V [24]
3 years ago
10

Thanks for the help :)

Mathematics
1 answer:
aliina [53]3 years ago
8 0
Your welcome I’m glad to help out
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A boat traveled 12 miles north and then
katrin [286]

Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

\sqrt{x} 650.25=c units 2

25.5

8 0
3 years ago
Answer quickly thank you so much!!!!!!!!!!!!!!!!!!!!!
marin [14]
The answer is C I think
3 0
3 years ago
Identify the vertex of each graph. Tell whether it is a minimum or a maximum
suter [353]

Answer:

1,3 minimum

1,6 minimum

3,1 maximum

Step-by-step explanation:

Locate the h as x and the k as y for y-k=a(x-h)^2

4 0
3 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
Please look at pic below. Will give 100 points!!!!! NUMBER 2 I NEED HELP
natta225 [31]

Answer:

#2

It is assumed the base of the prism is a square wit side of 5 cm.

<u>The volume is:</u>

  • V = Bh = 250 cm³

<u>The base is:</u>

  • B = a² = 5² = 25 cm²

<u>Find h:</u>

  • h = V/B
  • h = 250/25 = 10cm
3 0
3 years ago
Read 2 more answers
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