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3 years ago

13

you go shopping and buy x shirts for $12 and y jeans for $28 the total spent is $84 write an equation in standard form that repr

esents this model

1 answer:

Naddik [55]3 years ago

4 0

Answer:

84= 12x + 28y

Step-by-step explanation:

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Clayton plays basketball on a team. He has played three games so far . In the first game, he scored 10 points. In the second gam

Fofino [41]

Answer:

Clayton's average points per game is 10

Step-by-step explanation:

To find an average add all the numbers and divide the sum by the amount of numbers added.

In this case, 10 + 14 + 6 = 30. $\frac{30}{3}$ = 10

Hope this helps!

-MoCKEry

3 0

3 years ago

Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this problem, we have that the center is at point (0,2), hence:

$x^2 + (y - 2)^2 = r^2$

It goes through point (3,3), hence:

$3^2 + (3 - 2)^2 = r^2$

$r^2 = 10$

Hence, the equation is:

$x^2 + (y - 2)^2 = 10$

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

$y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))$

Applying implicit differentiation, we have that:

$2x + 2y\frac{dy}{dy} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

Point W(3,3), hence:

$(x_0, y_0) = (3,3)$

$\frac{dy}{dx} = -\frac{3}{3} = -1$

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0

2 years ago

If f(x) =3x^2 + 1 and g(x)=1-x

motikmotik

Answer: f ( 1 − x ) = 3 x 2 − 6 x + 4

Your WElcome

8 0

3 years ago

Read 2 more answers

You have been asked to rename one of the quadrilaterals (square, parallelogram, rectangle, rhombus, or trapezoid). Which quadril

alexgriva [62]

Answer:

I would rename the trapezoid. I would rename it a semi-hexagon, because it is basically half of a hexagon.

4 0

2 years ago

Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

4.

$x=8\sqrt{3}$

$y=16$

5.

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago