Matthew is 5 years older than twice the age of his sister. If Matthew is 13, how old is his sister? 3 4 9 31

If angle 2 = 106 degrees, what is the measurement of angle 6 ? ( better explanation in picture )

Triss [41]

angle 2 and angle 6 are corresponding angles.

Since the lines crossed by the trnasversal are parallel, corresponding angles are congruent. (equal)

angle 6 = 106°

4 0

9 months ago

Describe what a graph with infinitely solutions look like

never [62]

A graph with y = 2x + 1 is an example of one

8 0

2 years ago

Help please I don’t know the answer ????

pentagon [3]

To find the answer to a problem like this, we need to look for patterns in the number!

It looks likes x = 2y

Or in other words, (y is being multiplied by 2 to find x!)

**Now that we've discovered this pattern, we can confidently say that ...

the number 6 belongs in #1

5 0

1 year ago

Write an equation of the line that is parallel to the line whose equation is 3y+7=2x and passes through point (2,6).

Sladkaya [172]

Answer:

Step-by-step explanation:

To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.

We need to find it because, if two lines are parallel, then that means they have the same slope.

The best way to do this is solve for y:

$3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}$

Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.

Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:

$y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b$

So our line is:

$y=\frac{2}{3}x+\frac{14}{3}$

5 0

2 years ago

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0

1 year ago