HELP!!!!!12 *NOT A TEST*

What is a correct equation for the line passing through the point (-2,1) and having slope m=1/2

frez [133]

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We ahve the slope m = 1/2 and the point (-2, 1). Substitute:

$y-1=\dfrac{1}{2}(x-(-2))$

$y-1=\dfrac{1}{2}(x+2)$ - point-slope form

Covert to the slope-intercept form (y = mx + b):

$y-1=\dfrac{1}{2}(x+2)$ use the distributive property

$y-1=\dfrac{1}{2}x+1$ add 1 to both sides

$y=\dfrac{1}{2}x+2$ - slope-intercept form

Convert to the standard form (Ax + By = C):

$y=\dfrac{1}{2}x+2$ multiply both sides by 2

$2y=x+4$ subtract x from both sides

$-x+2y=4$ change the signs

$x-2y=-4$ - standard form

Convert to the general form (Ax+By+C=0):

$x-2y=-4$ add 4 to both sides

$x-2y+4=0$ - general form

5 0

4 years ago

Determine the slope and y-intercept from the following equation y = (32) x + 3

Irina-Kira [14]

y intercept Y=3

I only know the y intercept have a good day

4 0

3 years ago

Read 2 more answers

250$ is invested at a bank that pays7% interest.Calculate the amount of money in the account after 1 year, 3 years, 7 years, 20

Vesna [10]

One year = $267.50

Three Years = $302.50

Seven Years = $372.50

Twenty Years = $600.00

Hope this Helps!

Mark Brainiest!

7 0

3 years ago

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mista

SSSSS [86.1K]

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

$3x(2x - 8) -4(2x - 8)$

$3x*2x -3x*8 -4*2x -4*-8$

$6x^2 - 24x - 8x + 32$ (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

$6x^2 - 32x + 32$

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.

8 0

3 years ago

Explain why in the Venn Diagram example the number who liked Hip Hop plus the number who liked Country was NOT the same as the n

svlad2 [7]

Answer:

Suppose that you have 50 people that like hip hop and 50 people that like country.

Now, the union of those sets would be 50 + 50 = 100 people, right?

Well, this may be incorrect, because in the 50 people that like hip hop, we may have, for example, 10, that also like country (this means that in the 50 people that like country, we also have 10 that like hip hop).

Then when we are adding 50 + 50 we are counting those 10 people in both groups, and that is why the direct addition may be different than the union of both sets.

In more technical words, the union of two sets is equal to the addition of the elements of both sets minus the elements in the intersection of both sets (in our prior example, the 10 people that like hip hop and country music are the intersection of both sets)

6 0

3 years ago