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3 years ago

7

Find the value of x.

1 answer:

allochka39001 [22]3 years ago

3 0

In order to find the value of x, you have to cross multiply both equations. 4x-10 is basically 4 times something subtract 10. Same thing as well for 3x-2. Now it says to find the value of x. X has to also be the same answer for both equation as well. By the way x doesn't have a given number so there is no specific answer.

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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

3 years ago

Which one is greater -0.00001940 or 0.00005

Hunter-Best [27]

Second 1 because it isn't negative

7 0

3 years ago

Read 2 more answers

Write an equation of the line below.

Dafna11 [192]

Answer:

$\large\boxed{y=4x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of aline:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

$m=\dfraxc{y_2-y_1}{x_2-x_1}$

From the graph we have the points:

(-2, -5)

y-intercept (0, 3) → <em>b = 3</em>

Calculate the slope:

$m=\dfrac{3-(-5)}{0-(-2)}=\dfrac{8}{2}=4$

Put the value of the slope and the y-intercept to the equation of a line:

$y=4x+3$

3 0

4 years ago

Chin made an error in his chart showing the multiplication of the binomial by the trinomial. Which change can be made to correct

stealth61 [152]

Answer:

The expression 6x should be 6x^2.

Step-by-step explanation:

Given is the chart of multiplication of the binomial by the trinomial.

Let's check each element in the chart:-

3x times x^2 = 3x^3

3x times 2x = 6x^2

3x times 4 = 12x

2 times x^2 = 2x^2

2 times 2x = 4x

2 times 4 = 8

From the given chart, we can identify that <u>6x should be 6x^2.</u>

Hence. option B is correct, i.e. The expression 6x should be 6x^2.

7 0

4 years ago

Read 2 more answers

Factor the polynomial

3241004551 [841]

$-2x^3-4x^2-6x=-2x(x^2+2x+3)\\\\Answer:\ D.$

3 0

3 years ago