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2 years ago

Solve the system of equations by substitution: y = x - 2

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

4 0

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

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Which graph represents the function. H(x)=

scZoUnD [109]

Answer:

See attached picture.

Step-by-step explanation:

h(x) has two functions in it. It has y = x and y =-x. Both have a slope of 1 or -1 and are diagonal lines. This means only 2 graphs of the four choices are possible answers.

Notice that y = -x has an interval that is greater than or equal to. This means it is marked with a closed or filled in dot at its start. This means choice B is the correct choice.

8 0

2 years ago

In triangle abc angle a +angle b =90 then sin a =

Ivan

Answer:

$sin(a)=cos(b)$

Step-by-step explanation:

we know that

In the triangle abc

if $m\angle a+m\angle b=90^o$

then

$m\angle c=90^o$

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

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see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

$sin(a)=\frac{x}{z}$

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

$cos(b)=\frac{x}{z}$

therefore

$sin(a)=cos(b)$

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

$sin(a)=cos(b)$

$cos(a)=sin(b)$