Find the equation of the line that has a slope of — 2 and passes
through the point (-2,2). Write the equation in point-slope
form.

Answer:

111 =x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

29+82 = x

111 =x

Answer:

Step-by-step explanation:

Since all the angles in a triangle add up to 180, you would need to add up the 2 values you have to get the third:

∠3 = 180-82-29

      = 69 degrees

Now you have to subtract this value from 180 because a straight line is 180 degrees:

∠x = 180-69

∠x = 111°

Hope this helps!

Answer:

The desired equation is thus   y = 4x + 17

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is y = mx + b.  There are two values to find:  slope m and y-intercept b.

The line passes through (4, 33).  Thus, 33 = m(4) + b.

The line also passes through (1, 21).  Thus, 21 = m(1) + b, or m = 21 - b.

Thus we have a system of linear equations to solve, and will use the substitution method:

Substitute 21 - b for m in 33 = 4m + b:

33 = 4(21 - b) + b, which, in expanded form, is 33 = 84 - 4b + b, or

                                                                             33 = 84 - 3b, of

                                                                             -51 = -3b.

Thus, b = 17.  Since m = 21 - b, when b = 17, m = 21 - 17 = 4

The desired equation is thus   y = 4x + 17

Of course there are other ways to find this equation.  You could, if you wished, find the slope of the line passing through the given points using the definition of slope, and then find the y-intercept.

Answer:

Number of oranges = 8

Step-by-step explanation:

let

a = number of apples

n = number of oranges

Number of apples = 6

Cost of each apple = 0.75

Number of oranges = n

Cost of each orange = $1.25

Total cost = $14.50

Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange

14.50 = 6 * 0.75 + n * 1.25

14.50 = 4.5 + 1.25n

14.50 - 4.5 = 1.25n

10 = 1.25n

n = 10 / 1.25

n = 8

Number of oranges = n = 8

Therefore, there are 8 oranges in a bagful of orange

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

Answer:

la respuesta es nose

The margin of error is 0.1245 (approx) with a confidence level of 95%.

Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.

Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

where [tex]z^{*}[/tex] is the value for confidence level or quantile,

p is the sampling mean proportion and n is the sample size.

Here, The sampling mean proportion(p)= 0.28

The sample size(n)= 50

Confidence level = 95%

Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96

∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]

                            = [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]

                            = [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]

                            = [tex]1.96\sqrt{0.004032}[/tex]

                            = [tex]1.96[/tex]×[tex]0.0635[/tex]

                            = [tex]0.1245[/tex] (approx)

So, The margin of error is 0.1245 (approx).

Learn more about margin of error here :

https://brainly.com/question/10218601

#SPJ2

Answer:

12.4

Step-by-step explanation:

using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth

Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Answer:

YZ , XZ , XY

Step-by-step explanation:

first lets find angle Z

angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)

27 + 48 + angle z=180

75 + angle z=180

angle z =180-75

angle z =105 degree

side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY

first YZ then XZ and XY.

Answer:

care

Step-by-step explanation:

i dont know

The answer is (-4,-1). Hopes this helps :)

Answer:

answer is B

Step-by-step explanation:

Answer:

it really is B.5x2y5z

Step-by-step explanation:

got it right on edge

Answer: 25

Step-by-step explanation: 50 divided by 2 is 25

Step-by-step explanation:

5⁰= 1

2–3 means 1/2³

1/8

=0.125

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!

Answer:

x=16

..................

Answer:

Attached below

Step-by-step explanation:

Trapezoid: Opposite side are parallel in trapezium.

So, opposite sides are parallel in  all given quadrilateral except second.

Therefore, attached figure is not trapezium.

Answer:

.........

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where

[tex]tan32=\frac{x}{10}[/tex] and solving for x:

x = 10tan32

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Answer:

I think the answer b not sure tho

Answer:

it's hypotenuse will be -8

Answer:

y/3

Step-by-step explanation:

y=-3x+3

3=3x-y

3/3=3x/3-y/3