What is the slope of the line through the points (-2, -1) and (4, 3)?
1. 3/2
2. 5/2
3. 2/5
4. 2/3

9514 1404 393

Answer:

  x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 12/25

  x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

Answer:

Step-by-step explanation:

Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.

Supplementary angles sum to 180°.

Correct choice is A

Answer: 24 ft³

Step-by-step explanation:

To calculate the amount of space that the box will take up in the moving truck, we are simply meant to calculate the volume. This will be:

= Length × Width × Height

= 2 × 4 × 3

= 24 ft³

Therefore, the space that the box will take up in the moving truck is 24 ft.

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Answer:

D

Step-by-step explanation:

Answer:

intergers

square root of 14 = 3.74

integer is 4

nearest tenth is 3.7

square root of 90 =9.49

interger = 9

nearest tenth =9.5

square root of 175 =13.23

interger =13

nearest tenth =13.2

Answer:

See solution below

Step-by-step explanation:

Standard equation of a line in point slope form is expressed as y-y0 = m(x-x0)

m is the slope

c is the intercept

Fr the equation 3x+y = 17

y = -3x+17

m = -3

Given the point (4,8)

The equation of the line is expressed as;

y - 8 = -3(x-4)

y - 8 = -3x + 12

y + 3x = 12+8

y+3x = 20

This gives the required equation

For the equation y = 2x + 13

Slope m = 2

Since the line is perpendicular to the unknown line;

M = -1/2

Given the point (2, 3)

Get the equation

y - 3 = -1/2(x - 2)

2(y-3) = -(x - 2)

2y-6 = -x+2

2y+x = 2 + 6

2y+x = 8

This gives the required equation

Answer:

80% is greater

Step-by-step explanation:

Answer:

The number 80% is greater than 7/9

Step-by-step explanation:

Answer:

[tex] - 11 \frac{1}{2} [/tex]

Step-by-step explanation:

8x + 5y = 7

4x - 5y = 11

If you all it all up we have

8x + 4x +5y - 5y = 18

12x=18

x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)

subtituting the value of x into equation 1(8x + 5y = 7)

8(1.5) + 5y = 7

5y=7-12

5y = -5

y=-5/5

y= -1

Answer: 40 x  (76+35)

Step-by-step explanation:

Given: Every week Abeke earned,

$76 by selling ice cream

$35 by delivering newspapers.

i.e. Total amount earned in 1 week = $ (76+35)

Now Total amount earned in 40 weeks = 40 x  (76+35)

The numerical expression to show how much money( in dollars) Abeke earned in 40 weeks = 40 x  (76+35)

We have to simplify it to get the total money earned in 40 weeks i..e. $4440.

Answer:

201.06

Step-by-step explanation:

A=πr2

R= 16/2= 4cm

A= 22/7 x 4 x 4

A= 201.06

Answer:

12x + 4

Step-by-step explanation:

multiply and distribute 4 on each number in the ()

so (4 x 3x) + (4 x 1) = 12x + 4

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

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Answer:

[tex]18x^{6}-3x^{4}+45x^{3}-5x+25[/tex]

Step-by-step explanation:

[tex](6x^{3} -x+5)(3x^{3}+5)\\\\(6x^{3})(3x^{3})+(6x^{3})(5)+(-x)(3x^{3})+(-x)(5)+(5)(3x^{3})+(5)(5)\\\\18x^{6}+30x^{3}+(-3x^{4})+(-5x)+15x^{3}+25\\\\18x^{6}-3x^{4}+45x^{3}-5x+25[/tex]

Answer: y = 3

Step-by-step explanation:

Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph

Answer:

3 c  3 3 3 33  3 the 3 one

Step-by-step explanation:

Answer:

Step-by-step explanation:75

Answer:

4

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

y=15x

Assuming he is mowing at a constant rate it would be 15 square feet per minute.

Step-by-step explanation:

Answer: *x squred +3x-10*

Step-by-step explanation:

(x+5)(x-2)

x squred-2x+5x-10

x squred +3x-10

The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = ( x + 5 ) ( x - 2 )

On simplifying the equation , we get

A = x ( x - 2 ) + 5 ( x - 2 )

Expanding the brackets , we get

A = x² - 2x + 5x - 10

On simplifying the equation , we get

A = x² + 3x - 10

Therefore , the value of A is x² + 3x - 10

Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

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Answer:

Its 0 because thats the only value not bigger than 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Any value to the left of 4 is a solution to x < 4

The only value on the list that is left of 4 is 0 → B

Answer:

x = 9

Step-by-step explanation:

Sum of exterior angles = 360

8x +14x +7x +11x = 360

              40x     = 360

                  x   = 360/40

x = 9

Answer: Its just 5

Step-by-step explanation: Its always the first digit of the number.