please help with these 4 questions

To find the slope:

 ⇒ must know the slope's formula

    ⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

        ⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line

           ⇒ we use (-1,2) and (0,5) since they are the only points that we

                know that are on the line

Let's solve:

  [tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]

Slope is 3

Hope that helps!

Answer:

$1.50

Step-by-step explanation:

4(1.50 + 3x) = 24

4(1.50 + 3x)  = 24/4                                                                                                                

_________

1.50 + 3x = 6.  subtract by 1.50 from both sides.

3x = 4.50

3x/3 = 4.50

          ____

             3

x = 1.50

                                                                      hope this helps!

Answer:

It's C

Step-by-step explanation:

-11-2d is greater of equal to 1

add 11 to both sides to get

-2d is greater of equal to 12

divide -2 to both sides which flips the greater than sign to less than

getting d is less than or equal to -6

Answer:

xy=3_equation I

x+y=76/15 eq 2

Step-by-step explanation:

from eq

x=3/y

now put x=3/y in eq 2

3/y+y=76/15

(3+y^2) 15=76y

45+15y^2=76y

15y^2-76y+45=0

by using quardic equation

x=76+_root under 76^2-4×15×45/2×15

y= 5776+- 53.62/2×15

taking positive sign and taking negative sign

y=194.32

y=190.745

Answer:

B

Step-by-step explanation:

the tangent- chord angle XYZ is half the measure of its intercepted arc XY

∠ XYZ = [tex]\frac{1}{2}[/tex] × 94° = 47°

Answer:

I think that the correct answer would be B. 47 degrees

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

question5=B that is the answer

Answer:

2/21 hours per task.

Step-by-step explanation:

2/3 / 7  hours per task

=  2/21.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

If it passes through x, then let's find x when y = 0

[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]

So, required values of x are 3 and -2

Now, let's differentiate the equation to get slope slope for tangent ~

[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]

[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]

Now, plug in the values of x to find slopes of tangents

[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]

We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'

[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]

Now, write the equations of normals using point slope form :

Normal 1 : passing through (3 , 0), and slope = -1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]

[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]

and

Normal 2 : passing through (-2 , 0), and slope = 1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]

[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]

That's all for Aunty ~ hope it helps !

The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.

The margin of error of the 99% confidence interval will be:

= 1.645 × [✓0.36(1 - 0.36)/1006

= 0.024

The margin of error for a 99% confidence interval will be calculated thus:

= 2.576 × [✓0.36(1 - 0.36)/1006

= 0.03898

This implies that margin error increases when there's a higher confidence interval.

Learn more about confidence interval on:

https://brainly.com/question/15712887

The surface area of the shape is 400 square yards

The formula for calculating the surface area of the shape is given as:

Surface area = Area of square + area of triangle

Surface area = (15 * 20) + (0.5 * 10 * 20)
Surface area = 300 + 100
Surface area = 400 square yards

Hence the surface area of the shape is 400 square yards

Learn more on surface area of figure here:

https://brainly.com/question/16302190

Answer:

b because you add the 8 by 2 because 10 is too long and 8 is perfect size

Answer:

9out of 12, 3/4, 75%

Step-by-step explanation:

Red makes up 3 quarters of the spinner, or 9 parts out of 12.

Answer:

—8, —5, —2, 1, 4

Step-by-step explanation:

Check out the attached photo

Answer:

V = 682.66667

Step-by-step explanation:

Answer:

Air that is moving primarily in a horizontal direction.

Answer:

Wind is the movement of air horizontally.

Answer:

y is 12 degrees

x is 30 degrees

Step-by-step explanation:

If angle ABC is equal to angle MNC, that means 5y equals to 60 degrees. 60 divided by 5 equals 12. So, y equals 12 degrees

2x and 4x equals 180 degrees. So, 180 divided by 6 equals to 30. So x equals 30 degrees

Answer:

x = 30, y = 12

Step-by-step explanation:

2 similar equilateral triangles, each corner is 60 degrees.

2x = 60 degrees

divide by 2

x = 30 degrees

5y = 60 degrees

divide by 5

y = 12 degrees

This can be verified by checking 4x + 2x which gives you 180 degrees forming that straight line angle.

Answer:

C

Step-by-step explanation:

because the nearest is to ones tenth hundred thousand

The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle

The dilation rule is: (x,y) -> k(x,y)

The coordinates of C' is given as:

C' = (4.5, 4.5)

The coordinate of point C is not given.

So, I will apply a general rule

The general rule of dilation is:

(x,y) -> k(x,y)

Where k represents the scale factor.

Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:



These are the inequalities

A: [tex]W\geq -7[/tex]

B: [tex]W > -7[/tex]

C: [tex]W < -7[/tex]

D: [tex]W\leq -7[/tex]

I assume the "different" one is referring to the wording of the expression. B, C, and D are all similarly worded so I believe A is the "different" one.

Answer:

x=12

Step-by-step explanation:

The photo might help.

If anything is not understandable I'm here to help :)

Answer:

18cm

Step-by-step explanation:

We have the length of the rectangle but we need to find the width which we'll call w. Area is a, l is length.

a = l * w

20 = 5 * w

divide both sides by 5 to cancel the multiplication by 5 on the right side

4 = w

The rectangle is going to have two sides that are the length of l, and two sides that are the the length of w. We're looking for the perimiter p.

p = 2l + 2w

p = (2 * 5) + (2 * 4)

p = 18

Answer:

$469887

Step-by-step explanation:

you should use compound interest formula which is

A=P(1+r/100) ^t

A = 242800 ( 1 + 0.045 ) ^ 15

when you punch this into a calculator you will get 469886.5771.....

when you round it off to a whole number the answer is $469887

Step-by-step explanation:

16.

x = Xien's age

2 + x/2 = 11

x/2 = 9

x = 18

so, Xien is 18 years old.

17.

4x - 5 = 7

first dividing everything by 4 is not a mistake. I would have done it as second step simply to avoid dealing with the fractions. but it works either way.

so, his way :

4x/4 - 5/4 = 7/4

4x/4 = 12/4

x = 3

my way

4x - 5 = 7

4x = 12

x = 3

Answer:

I think the answer is 6/40

Step-by-step explanation:

To calculate the area of a parallelogram

 ⇒ we must know the formula

     ⇒ Area = base * height

What are we given:

Thus:

   Area = 3ft * 4ft = 12 [tex]ft^2[/tex]

Hope that helps!

The equation of the javelin path h(t) = -16t^2+68t+6.5 is a quadratic function

The javelin hits the ground after 4.344 seconds

The equation of the javelin path is given as:

h(t) = -16t^2+68t+6.5

When it hits the ground, h(t) = 0.

So, we have:

-16t^2+68t+6.5 = 0

Using a graphing calculator, we have:

t = 4.344 and t = -0.094

Time cannot be negative.

So, we have:

t = 4.344

Hence, the javelin hits the ground after 4.344 seconds

Read more about quadratic functions at:

https://brainly.com/question/18797214

Answer:

  caveat: your grader may expect <E, N> coordinates, reversed from these

  A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)

  B. resultant <N, E> = <-174.288, 377.052>

  C. resultant = 415.385∠115°

Step-by-step explanation:

The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.

The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...

  a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))

  a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant

__

Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...

  (North + i·East)

Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.

__

The airplane speed vector in <north, east> coordinates is ...

  400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>

Similarly, the wind speed vector is ...

  40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>

__

The sum of the vectors is found from the sum of their components:

  plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>

__

Converting this vector in linear form back to a magnitude and direction gives ...

  magnitude = √((-174.288)² +377.052²) = √172544.644542

  magnitude ≈ 415.385 . . . mph

  direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°

  direction ≈ 115°

_____

Additional comment

As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.