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Masja [62]
3 years ago
9

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y=-x-1 y=x+3

Mathematics
2 answers:
Tasya [4]3 years ago
3 0

Answer:

C. (-2, 1)

Step-by-step explanation:

See the attached graph.

The slope of the first line is -1, and its y-intercept is -1.

The slope of the second line is +1 and its y-intercept is +3.

The solution is the point that is common to both lines, (-2, 1).

vichka [17]3 years ago
3 0

Answer:

C. (-2, 1)

Step-by-step explanation:

APEX

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Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft2. To the nearest foot, how much fenc
wel

Answer:

27 ft

Step-by-step explanation:

Given: A garden in the shape of a 45º-45º-90º triangle.

Area of triangle= 32 ft²

As given dimension of triangle, we understand that it is a right angle and triangle and since two angles are equal, therefore two sides of triangle are also equal.  

∴ Base and height will be equal.

Assuming base is also as "h"

Now, finding the length of base and height by using area of triangle formula.

Area of triangle=  \frac{1}{2} \times base\times height

⇒32= \frac{1}{2} \times h\times h  

Multiplying both side by 2

⇒64= h^{2}  

Square rooting both side, remember; √a²= a

⇒  \sqrt{64} = h

∴ h= 8 feet

Hence, both base and height of right angle triangle is 8 feet.

Next, finding total fencing required to enclose the garden.

Perimeter of garden is equal to the amount of fencing required by Adaline.

Therefore, finding the length of hypotenous of triangle too.

Using pythogorean theoram.

h^{2} = a^{2} +b^{2}, where a is the height and b is the base of triangle.

⇒ h^{2}= 8^{2}  +8^{2}

⇒ h^{2} = 128

Square rooting both side

⇒h= \sqrt{128}

∴ h= 11.3 feet

Perimeter of garden= base+height+hypotenous

⇒ Perimeter of garden= 8+8+11.3= 27.3\ feet \approx 27\ feet

Hence, 27 feet fencing is required to enclose the garden.

3 0
3 years ago
Read 2 more answers
What of following is the inverse of y=6
Elenna [48]

Answer:

x=6

Step-by-step explanation:

The inverse is the equation with the x and y variables transposed

5 0
3 years ago
What is the base 8 representation of the number 11100111(2)
kondor19780726 [428]

Remark

You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.

Step One

Write the base 2 number in groups of 3 starting from the right and going left

11 100 111

Step Two

Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7

11 = 2*1 + 1 = 2 + 1 = 3

100 = 1*2^2 = 4

111 = 1*2^2 + 1*2 + 1 = 7

Step Three

Read the answer going down.

347 is the answer

Answer

347(8) = C


5 0
3 years ago
If you have $100 and then lose $25 what is the percent change
katovenus [111]

\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}

The lost percentage is 25%

The percentage remaining is 75%

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7 0
3 years ago
What is the main cause of waves ?
igomit [66]

Answer:

Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. ... The gravitational pull of the sun and moon on the earth also causes waves.

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3 years ago
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