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Blababa [14]
3 years ago
10

Anyone know how to find the area with the missing hypotenuse? Thank you!!!

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

15 {cm}^{2}

Step-by-step explanation:

There's no need of hypotenuse for finding area of the triangle. To find the area of a triangle ,

Formula is =\frac{1}{2}  \times base \times height

Base of the triangle = 10 cm

Height of the traingle = 3 cm

Area of the triangle = \frac{1}{2}  \times 10 \times 3 = 15 {cm}^{2}

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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
(x+3y=6<br> 16x + 18y = 36
jonny [76]

Answer:

X = 0 , y=2

Step-by-step explanation:

Check attachment

7 0
3 years ago
In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pac
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Answer:

b

Step-by-step explanation:

The slope is positive because as the age increases, the value increases.

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She made 112 tickets.
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Name all the awnsers below
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Answer:

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