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3 years ago

How can the x-intercept and y-intercept be used to graph a linear equation

1 answer:

5 0

Because a line always goes past the y-intercept and x-intercept. It's not always both, it can sometimes just be the x-intercept or the y-intercept.

When a line intersects these points, for example if a line was to intersect the x-axis then y would be equal to 0, and the opposite for the y-axis. If a line was to intersect the y-axis x would be equal to 0.

Therefore by using that knowledge, and the equation of the line [ y=mx+c or y-y1=m(x-x1) ], we can find the equation of our line. Of course you would need the gradient of that line (the value "m").

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Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)

ikadub [295]

<em>The right answer for:</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point $(x,y)$ on the graph of $y=cos(x)$ then the point $(-x,y)$ also lies on the graph of the function. In other words, we can write:

$cos(-170^{\circ})=cos(170^{\circ})$

But:

$170^{\circ}=180^{\circ}-10^{\circ}$

So:

$cos(170^{\circ})=cos(180^{\circ}-10^{\circ})$

By property:

$cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}$

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

4 0

2 years ago

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts

FromTheMoon [43]

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

5 0

2 years ago

Which two websites would be most likely to have credible information about a senator?

Ghella [55]

Answer

its

www.SenatorJanSmith.gov

www.GovernmentStudiesUniversity.edu

8 0

2 years ago

F. Please answer this as soon as possible.

Liono4ka [1.6K]

Answer:

-12

Step-by-step explanation:

Convert the mixed number to an improper fraction.

-2 $\frac{2}{3}$ = $-\frac{8}{3}$

To divide, just multiply by the reciprocal.

So -2 $\frac{2}{3}$ ÷ $\frac{2}{9}$ becomes $-\frac{8}{3}$ ÷

Now you can multiply straight across.

$-\frac{8}{3}$ × $\frac{9}{2}$ = $-\frac{72}{6}$

And simplify.

$-\frac{72}{6}$ = -12

Please mark as Brainliest! :)

7 0

2 years ago

Read 2 more answers

F(x) = x^2. What is g(x)?

MatroZZZ [7]

Answer:

D. g(x)=(3x)^2

Step-by-step explanation:

For function g(x), it displays the point (1,9) as part of the function. If (x,y), then we can plug those into the available answers. Plug 1 in for each x value in the function and whichever one equals 9 will be your answer. This is only true for g(x)=(3x)^2.

5 0

2 years ago