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pashok25 [27]
4 years ago
15

Graph f(x) = 22 +1 and g(x)=-1+7 on the same coordinate plane.

Mathematics
1 answer:
olasank [31]4 years ago
5 0

Answer:

The solution is x=2

Step-by-step explanation:

<u><em>The correct question is</em></u>

Graph f(x) = 2x +1 and g(x)=-x+7 on the same coordinate plane.

What is the solution to the equation f(x) = g(x)?

we have

f(x)=2x+1

g(x)=-x+7

we know that

The solution for the equation f(x)=g(x) is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (2,5)

The x-coordinate of the intersection point is 2

therefore

The solution is x=2

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Answer:

27/4 or simplified 6 3/4 or 6.75

Step-by-step explanation:

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number 3 says,"If u and v are the measures of complementary angles such that sin u =2/5 and tan v =(square root of 21) 21/2, lab
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Using trig ratios, we can express the given values of sin u and tan v as shown below

\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;

\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}

We can find v as shown below;

\begin{gathered} u+v+90=180\text{   (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}

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