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3 years ago

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Mathematics

1 answer:

bonufazy [111]3 years ago

6 0

Answer:

2 weeks

Step-by-step explanation:

27/3 = 9, this means that he is doing 9 quizzes per week.

45- 27 = 18 quizzes left

if he is completing 9 quizzes per week 18/9 = 2, so it will take him 2 weeks

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Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.

stealth61 [152]

The slope-point form of a line:

$y-y_0=m(x-x_0)$

The slope-intercept form of a line:

$y=mx+b$

$m=6,\ (4,\ 1)\to x_0=4,\ y_0=1$

Substitute

$y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}$

$m=-5,\ (6,\ -3)$

Substitute

$y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}$

$m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}$

$m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}$

3 0

3 years ago

Find the value for the variable expression p + 5 when p = 2.

sweet [91]

Replace all the variables with their values. In this case, we know the value of the variable p.

Now the expressions p + 5 becomes 2 + 5.

2 + 5 = 7

So, C. 7 is the answer.

7 0

4 years ago

Read 2 more answers

What is the slope of the line?

VMariaS [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

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PLEASE ANSWER ASAP

hjlf

It is known
$\dfrac{\pi}{6} =30^{\circ}$ and
$\cos \dfrac{\pi}{6}= \dfrac{ \sqrt{3} }{2}$ (if you want to determine cosine of 30° you should draw the perpendicular line to the x-axis and find the point of intersection, the value of x-coordinate is the cosine of 30°).

The angle $\dfrac{5\pi}{6} =150^{\circ}$ and
$\cos \dfrac{5\pi}{6}=- \dfrac{ \sqrt{3} }{2}$ (see image).
The angle $\dfrac{7\pi}{6} =210^{\circ}$ and

$\cos \dfrac{7\pi}{6}=- \dfrac{ \sqrt{3} }{2}$ (see image).

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3 years ago

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Find the x -intercept and the y -intercept. Then use them to graph the line of 6x+2y=-12

Neko [114]

The x intercept is when y=0
6x+0=-12
x=-2, now you have point A with coordinates (-2, 0)
The y intercept is when x=0
0+2y=-12
y=-6, so you have another point with coordinates (0, -6)
Connect those two points, you have your graph. It is a line.

8 0

3 years ago