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3 years ago

Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

Mathematics

1 answer:

hram777 [196]3 years ago

4 0

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y = 1/2x + 9

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Pattern x and y are generated using the rules. Pattern x: start with 0 and add 6. Pattern y: start with 1 and multiply 2. Patter

timama [110]

Answer:

Pattern $x$ : $0,6,12,18$

Pattern $y$ : $1,2,4,8$

Step-by-step explanation:

Given:

Pattern x: start with 0 and add 6.

Pattern y: start with 1 and multiply 2.

To find: patterns $x$ and $y$

Solution:

Pattern $x$ : $0,0+6,0+6+6,0+6+6+6=0,6,12,18$

Pattern $y$ : $=1,1(2),1(2)(2),1(2)(2)(2)=1,2,4,8$

7 0

3 years ago

Find the measure of angle CED in the figure below. Enter only the number.

nikdorinn [45]

Answer:

∠ CED = 58°

Step-by-step explanation:

∠ CED and ∠ AED are adjacent angles and sum to 180° , then

∠ CED + 122° = 180° ( subtract 122° from both sides )

∠ CED = 58°

6 0

2 years ago

Read 2 more answers

Abby is not a morning person and needs to plan on what time to wake up for a morning class. She

MArishka [77]

Answer:

OF COURSE SHE ISNT A MORNING PERSON. Anyway....

8:45-25 minutes is 8:20. -30 minutes from that, and you get 7:50. PRESUMING she wants to get to class the SECOND the bell rings, she should leave at 7:50!

:))

7 0

1 year ago

Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per

Otrada [13]

Answer: (0.8115, 0.8645)

Step-by-step explanation:

Let p be the proportion of people who leave one space after a period.

Given: Sample size : n= 525

Number of people responded that they leave one space. =440

i.e. sample proportion: $\hat{p}=\dfrac{440}{525}\approx0.838$

z-score for 90% confidence level : 1.645

Formula to find the confidence interval :

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)$

Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)

3 0

3 years ago

The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height.

emmainna [20.7K]

Answer:

8.20in³

Step-by-step explanation:

Given V = πr²h

r is the radius = 1.5in

h is the height = 6in

thickness of wall of the cylinder dr = 0.04in

top and bottom thickness dh 0.07in+0.07in = 0.14in

To compute the volume, we will find the value of dV

dV = dV/dr • dr + dV/dh • dh

dV/dr = 2πrh

dV/dh = πr²

dV = 2πrh dr + πr² dh

Substituting the values into the formula

dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14

dV = 2π (0.36)+π(1.89)

dV = 0.72π+1.89π

dV = 2.61π

dV = 2.61(3.14)

dV = 8.1954in³

Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)

7 0

3 years ago