1. What value of x makes this equation true?


X/2-2= X/4+4

A. 4
B. 8
C. 16
D. 24


Please help me anyone :'( it would mean a lot!

Answer:

x = 31

Step-by-step explanation:

87=2x-25

-25 on each side

62=2x

divide each side by 2

31=x

x=31

The θ lies in the 4th quadrant of the graph.

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Step-by-step explanation:

[tex](4(2) \: - 6(7) \: 5(1)) \\( 2( - 1) \: 4(5) \: - 1(2) ) \\ (8 \: - 42 \: \: 5 \\ - 2 \: \: \: 20 \: \: - 2)[/tex]

Answer:

a= (0,14) (2,-8)

Step-by-step explanation:

The unit rate of ounces of water per cup of flour for this situation is; 3 ounces per cups

From the given graph, we are expected to find the unit rate of ounces of water per cup of flour for the situation.

Now, to find the unit rate , all we need to do is to pick two coordinates on the line graph and find the slope. Thus;

Slope = (y2 - y1)/(x2 - x1)

Slope of graph = (12 - 9)/(4 - 3)

Slope = 3/1

Slope = 3

Let us pick another two points to verify;

Slope = (6 - 3)/(2 - 1)

Slope = 3/1

Slope = 3

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Answer:

-1/8>-3/8

Step-by-step explanation:

You can write it as a decimal.

-0.125 ? -0.375

By using a rotation rule, the image of point P = (- 4, 1) after rotating 180° counterclockwise using center (- 3, 0) is equal to point P'(x, y) = (- 2, 1).

In this problem we find the case of a point that must be rotated 180° counterclockwise (+ 180°) about the point (- 3, 0). Rotation is a kind of rigid transformation, that is, a kind of transformation applied on a point such that Euclidean distance is conserved. The rotation formula for a point P(x, y) = (x, y) around the center O(x, y) = (Ox, Oy) is introduced below:

P'(x, y) = (Ox + (x - Ox) · cos θ - (y - Oy) · sin θ, Oy + (x - Ox) · sin θ + (y - Oy) · cos θ)

Where θ is the angle of rotation.

If we know that O(x, y) = (- 3, 0), P(x, y) = (- 4, 1) and θ = 180°, then the coordinates of the image are:

P'(x, y) = (- 3 + [- 4 - (- 3)] · cos 180° - (1 - 0) · sin 180°, 0 + [- 4 - (- 3)] · sin 180° + (1 - 0) · cos 180°)

P'(x, y) = (- 3 - [- 4 - (- 3)], - 1)

P'(x, y) = (- 3 - (- 1), - 1)

P'(x, y) = (- 2, - 1)

The coordinates of the image are P'(x, y) = (- 2, 1).

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Answer:

30 markers

Step-by-step explanation:

(15 what she spent)+(3 the 3 dollors off)=

18/(3 the price of markers)=

(6 sets)*(5 how many is in a set)=

(30 final anwser)

Answer:

Yes

Step-by-step explanation:

Each x-value corresponds with only one y-value.

Answer:

[tex]y = - \frac{5}{2} x + 4[/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.

Start with the slope when forming the equation.

Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].

Substitute the value of m into the equation:

[tex]y = - \frac{5}{2} x + c[/tex]

The value of c can be found by substituting a pair of coordinates that the line passes through.

When x= -2, y= 9,

[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]

9= 5 +c

c= 9 -5

c= 4

Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].

Additional:

What is a linear equation?

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The value of 0.046138792 estimated to the nearest hundredth is 0.05 and can be expressed in the form [tex]5*10^{-2}[/tex].

This is a question of place values.

Given number:-

0.046138792

We have to estimate the given number to the nearest hundredth. Also, we have to express the answer as a single digit to power of ten.

In the given number, we can see that,

After decimal,

tenth digit is 0

hundredth digit is 4

thousandth digit is 6

and so on.

We have to limit our answer till hundredth digit.

As thousandth digit is 6 we will estimate the number as 0.05.

Now,

0.05 = 5/100

= [tex]\frac{5}{10^2} = 5*10^{-2}[/tex]

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Step-by-step explanation:

i.)add 3 in 6 which = 9

ii.) follow the negative sign of the larger value which now ur finally answer is -9

The principal plus interest which gives the amount in the account after each year are;

Simple interest is the product of the principal amount, the rate and the time of investment

The amount Brayden deposited in the savings account, P= $2,700

The interest on savings account, R = 0.3% simple interest

The simple interest formula is, I = P•R•T

The interest in the account after each year is therefore;

1st year = $2,700×0.3%×1 = $8.7

The interest in 2 years, I = 2×$8.7 = $17.4

3 years, I = $8.7 × 3 = $26.1

4 years, I = $8.7 × 4 = $34.8

5 years, I = $8.7 × 5 = $43.5

The amount in the account after each of the 5 years are therefore;

1st year, A = $2,700 + $8.7 = $2,708.7

2nd year, A = $2,700 + $17.4 = $2,717.4

3rd year, A = $2,700 + $26.1 = $2,726.1

4th year, A = $2,700 + $34.8 = $2,734.8

5th year, A = $2,700 + $43.5 = $2,743.5

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Answer: x = 80°, y = 50°

Step-by-step explanation:

We have an isosceles triangle.

As you can see, 130° lies on a straight line. A straight line = 180°.

The base angles of an isosceles triangle are equal. This means 180° - 130° = y.

So, y = 50°.

The total measures of any triangle is 180 degrees.

The total measure for the base angles here 100 degrees. That is, 50° + 50° =

100°.

How do we find x?

x = 180° - 100

x = 80°

Equation of the first line =  [tex]y=-\frac{1}{2} x+1[/tex]

Equation of the second line = [tex]y=-\frac{5}{2} x -1[/tex]

What is the equation of the first line?

Co-ordinates of the first line (x, y) = (-2,2), (0,1), (2,0), (4,-1)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{1-2}{0+2} \\\\=-\frac{1}{2}[/tex]

The slope -intercept form of a line is given by,

y = mx + b    ---(1)

Let us substitute ( x, y )= (-2, 2) in (1)

2=(-1/2)*-2+b

2-1= b

b = 1 ----(2)

Let us substitute m and b in the slope-intercept equation (1)

[tex]y=-\frac{1}{2} x+1[/tex]

What is the equation of the second line?

Co-ordinates of the second line (x, y)=(-4,9), (-2,4), (0,-1), (2,-6)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{4-9}{-2+4} \\\\=-\frac{5}{2}[/tex]

The slope -intercept form of a line is given by,

y = mx + b    ---(3)

Let us substitute ( x, y )= (-4, 9) in (1)

9 = (-5/2)*-4+b

2 - 1 = b

b = - 1 ----(4)

Let us substitute m and b in the slope-intercept equation (3)

[tex]y=-\frac{5}{2} x -1[/tex]

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Answer:

m<1 = 159° m<2 = 21° m<4 = 21°

Step-by-step explanation:

Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°

It is to be noted that the information for the completed table is given accordingly to show the perimeters in millimeters and in centimeters.

Perimeter simply refers to the total or sum of all the sides of a geometric shape. Note that the perimeter in units is obtained by counting the number of rectangles.

In the case of A:

Perimeter in Units = 10 Units.

Length is 60mm and width is 40mm
Perimeter = 30 + 20 + 30 + 20 = 100mm; and 10 cm

Recall that I cm = 10mm.

Hence, 100 /10 = 10 cm.

In the case of shape B:
Perimeter in Units = 41 Units.

Length is 400mm (that is 200 + 200)

Breath is 40mm (20 + 20)

Perimeter therefore is:

400 + 40 = 440mm
Perimeter in cm = 44

Recall, 10mm = 1cm

In the case of shape C:

Perimeter in Units = 36 Units.

Length is 10cm (that is 5 + 5)

Breath is 14mm (7 + 7)

Perimeter therefore is:

10+ 14 = 24cm
Perimeter in mm= 240

Recall, 10mm = 1cm

In the case of Shape D:

Perimeter in Units = 51 Units.

Length is 200mm (that is 100 + 100)

Breath is 100mm (50 + 50)

Perimeter therefore is:

200 + 100 = 300mm
Perimeter in cm= 230

Recall, 10mm = 1cm

In the case of Shape D:

Perimeter in Units = 53 Units.

Length is 260mm (that is 130 + 130)

Breath is 80mm (40 + 40)

Perimeter therefore is:

260 + 80 = 340mm
Perimeter in cm= 34

Recall, 10mm = 1cm

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Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

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The slope of the line is that passing through the points  (-1,-3) and (1,3) is m = 2

From the graph, we have to find the two points to find the slope of the line

The two points are (-1,-3) and (1,1)

The slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Where m is the slope of the line

[tex](x_{1} ,y_{1})[/tex] are the coordinates of first point

[tex](x_{2} ,y_{2})[/tex] are the coordinates of second point

substitute the values in the equation of slope of the line

The slope of the line m =[tex]\frac{1-(-3)}{1-(-1)}[/tex]

= 4/2

= 2

Hence, the slope of the line is that passing through the points  (-1,-3) and (1,3) is m = 2

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Answer:

j = 1

Step-by-step explanation:

calculate the slope m between the 2 points and equate to - [tex]\frac{7}{10}[/tex]

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

with (x₁, y₁ ) = (- 5, j ) and (x₂, y₂ ) = (5, - 6 )

m = [tex]\frac{-6-j}{5-(-5)}[/tex] = [tex]\frac{-6-j}{5+5}[/tex] = [tex]\frac{-6-j}{10}[/tex]

then equating gives

[tex]\frac{-6-j}{10}[/tex] = - [tex]\frac{7}{10}[/tex] ( cross- multiply )

10(- 6 - j) = - 70 ( divide both sides by 10 )

- 6 - j = - 7 ( add 6 to both sides )

- j = - 1 ( multiply both sides by - 1 )

j = 1

Answer:

w = 3

Step-by-step explanation:

12 = 5w - w = 4w ( divide both sides by 4 )

3 = w

Answer:

w=2.4

Step-by-step explanation:

12 = 5w

Divide both sides by 5.

12/5=2.4

5/5=w

2.4=w

Answer: y²-2y-48=(y-8)(y+6)

Step-by-step explanation:

[tex]y^2-2y-48=\\\\y^2-8y+6y-48=\\\\y(y-8)+6(y-8)=\\\\(y-8)(y+6)[/tex]

Answer:

y²-2y-48=(y-8)(y+6)

Step-by-step explanation:by factorization

y2-2y-48= y2-8y+6y48= y(y-8)+6(y-8)= (y-8)(y+6)

Answer: See attached and/or view below.

Step-by-step explanation:

      Since we are given the equation, we can plug the values into it and solve for the unknown. We will solve by isolating the variable and using reverse operations.

      x = 1, y = 34

2x + y = 36

2(1) + y = 36

2 + y = 36

y = 34

      x = -2, y = 40

2x + y = 36

2(-2) + y = 36

-4 + y = 36

y = 40

      y = 18, x = 9

2x + y = 36

2x + (18) = 36

2x = 18

x = 9

This statement about distance is proved.

What is distance ?

It is length of space between two points.

Okay, so the first three components of this issue involve more physics and math. So, part A received the formula Ds = R. D. Data. We have to track down S. Therefore, we simply integrate both sides equally using R. D. Data. Our data are provided. Therefore, the upon integration over our data is just R 0 Santa plus 12 beta zeta squared for part B. We'll make sure S = V T. We combine these two by using the above equation as an equal. In order to allow it to reach its roots once positive, we can see that this is Justin's equation for data. The other negative, which is naturally a positive one because it has the proper physical meaning, would indicate that the rotation is occurring in the opposite direction.

Standard units, uh, are zero point 24/7 times, so switch to the nature radio's negative six setting. Additionally, we are given the time, which is 74 minutes, or 4440 seconds. Thus, plugging everything. Injecting R 0 and data mm hmm into the expression for data. Therefore, we enter better Data. V also appears. Everything is therefore known. We can confidently conclude that the data is, um, 1.337 x 10-5 brilliant. or 2.13 x 10 to 4 revolutions, in terms of turns. Okay. We simply re-insert the numbers for beta and tr zero V into the previous expressions for omega and alpha in the final section of the problem.

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If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).

If (1, -2) is reflected over the y-axis, then the image is (-1, -2).

Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).

6.5 units to the left of the origin, and 2 units above the origin

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid. A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another

Coordinates are a pair of numbers that identify a specific point on a coordinate plane, often known as a grid of coordinates. The ordered pair (x, y), which corresponds to the X-coordinate and the Y-coordinate, is expressed in parenthesis and is used to identify a point in a coordinate plane. Depending on where the point is in relation to the different quadrants, these coordinates may be positive, zero, or negative.

6.5 units to the left of the origin, and 2 units above the origin

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Answer:

In a year you can shrink 0.625cm

Step-by-step explanation:

1.7/4=0.625

Answer:

A

Step-by-step explanation:

On a number line, I would start at 32 and then go left on the number line 17 spaces.  This would land me at positive 15.