probability................................

Answer:

the difference in the coordinate points is (7, 5)

Step-by-step explanation:

Given;

first coordinate point, (x₁, y₁) = (-2, 3)

second coordinate point, (x₂, y₂) = (5, 8)

The difference in the coordinate points is calculated as follows;

Δ(x, y) = (x₂ - x₁,  y₂ - y₁)

          = (5 - -2,  8 - 3)

         = (7, 5)

Therefore, the difference in the coordinate points is (7, 5)

Answer:

x=3800, y=4400

Step-by-step explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000

Answer:

hope it is helpful to you

this is another answer

sorry for bad handwriting

actually its my sista handwriting

Answer:

3/4x + 12 =48

3/4x=36

x=48

Answer:

1. c) Add/ Subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Answer two questions about Equations A and B:

A. 3x – 1= 7

B. Зx = 8

1) To get Equation B from Equation A we need to take the following steps

A. 3x – 1 = 7

We add one to both sides

3x - 1 + 1 = 7 + 1

3x - 0 = 8

3x = 8

Option c is the correct option.

2) We are given Equations:

A. 3x – 1= 7

B. Зx = 8

3x - 1 = 7 = 3x = 8

3x = 7 + 1 = 3x = 8

3x = 8 = 3x = 8

Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.

Answer:  C) Trapezoid

Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.

The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the coordinates of the figure be represented as ABCD

Now , the vertices of the figure is

A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )

On plotting the coordinates in the graph , we get a trapezoid with

The longer base = BC

The shorter base = AD

So , the figure is a trapezoid

Hence , the vertices represents a trapezoid

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Answer:

QT = 16

Step-by-step explanation:

ΔQRS ~ ΔQRT

In similar triangles, corresponding angles are in same ratio.

[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]

Cross multiply,

QT * 25 = 20 * 20

[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]

Answer:

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).

Answer:

10 :)

Step-by-step explanation:

I hope this helped :)

Answer:

1/4x is basically x divided by 4/multiplied by 1/4

this can be applied in examples such as:

1/4(2) = 0.5

etc.

Step-by-step explanation:

i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.

Answer:

 1/8x+1/8x

Step-by-step explanation:

Answer:

The coefficient of d that will make equation equal is -0.9

Step-by-step explanation:

Given

Left hand side equation = {–1/3}(2.7d + 1.8)

Simplifying LHS we get -

-0.9 d -0.6

Hence, the coefficient of d that will make equation equal is -0.9

Answer:

option A

Step-by-step explanation:

Distance from earth to moon = 2.4 × 10⁵ miles

Distance from earth to sun = 9.3 × 10⁷

x × 2.4 × 10⁵ = 9.3 × 10⁷

[tex]x = \frac{9.3 \times 10^7}{2.4 \times 10^5}[/tex]

  [tex]=\frac{9.3}{2.4} \times 10^2\\\\=3.875 \times 10^2\\\\=3.9 \times 10^2[/tex]

The distance from the earth to the sun is 3.9 × 10² times distance from the earth  the moon

Answer: She didn't make an error.

Step-by-step explanation:

She just didn't I got it right.

Answer:

answer is D

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

4*x = 5*8

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

Answer:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

C. Square, a rhombus is the right answer.

A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.

Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.

Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.

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Answer:

10

Step-by-step explanation:

medium is the number in the middle when all numbers are arranged in ascending order.

Answer:

10

Step-by-step explanation:

first arrange the data from ascending to descending order.

data = 6,8,10,12,14

median = N +1/2  (N means no of data)

=5 + 1/2

=6/2

=3 th term

=10

therefore median is 10

point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .

Perpendiculat Line is when both slopes of equation multiplying each others and equal to -1.

[tex] \large \boxed{m_1m_2 = - 1}[/tex]

For an easier way to understand, a perpendicular line has a negative reciprocal slope. For example if we are given the equation of y = 2x then the equation that is perpendicular to y = 2x would be y = (-1/2)x.

From both equations. We can either arrange in slope-intercepy form or use the slope formula which is m = -A/B when the equation is in Ax+By+C = 0 or Ax+By = C.

[tex] \large{ \begin{cases} 2x - 5y = - 3 \\ 5x + 2y = 6 \end{cases}}[/tex]

To find if these two lines are perpendicular to each others. Use the slope formula of -A/B.

[tex] \large{ \begin{cases} m_1 = - \frac{2}{ - 5} \\ m_2 = - \frac{5}{2} \end{cases}} \\ \large{ \begin{cases} m_1 = \frac{2}{ 5} \\ m_2 = - \frac{5}{2} \end{cases}}[/tex]

Now recall that it is perpendicular when one of them is negative reciprocal of one another (-5/2 is negative reciprocal of -(-2/5) = 2/5 and 2/5 is negative reciprocal of -5/2).

Or in definition of perpendicular lines, both slopes multiply and must equal to -1.

[tex] \large{( \frac{2}{5} )( - \frac{5}{2} ) = - 1} \\ \large{ - 1 = - 1}[/tex]

Thus the equation is true which makes both lines perpendicular to each others.

Answer

Let me know if you have any doubts!

Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

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Answer:

J

Step-by-step explanation:

Using the cofunction identity

cosθ = sin([tex]\frac{\pi }{2}[/tex] - θ )

Then

[tex]\frac{1}{sin(\frac{\pi }{2}-0) }[/tex]

= [tex]\frac{1}{cos0}[/tex]

= [tex]\frac{1}{0.8}[/tex]

= 1.25 → J

The value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180 degrees and 270 degrees.

Given

1/cosθ = 0.8

1/sin([tex]\frac{\pi }{2}[/tex] - θ) =?

By using quadrants in trigonometry

we know that sin([tex]\frac{\pi }{2}[/tex] - θ) = cosθ

= 1/sin([tex]\frac{\pi }{2}[/tex] - θ)

= 1/cosθ

= 1/0.8

= 1.25

1/sin([tex]\frac{\pi }{2}[/tex] - θ) = 1.25

Hence, the value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.

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Answer:

3

Step-by-step explanation:

let the no of people who share the meal be x

each member paid $17

total cost of meal=$51

so ur equation is

$17x=$51

x=$51/$17(here $ and $ also gets cancel)

x=3

therefore three menber shared the meal.

Note:when  in multiplication when u transfers the number to other side it changes into mltiplication.For example

$17=$51

here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.

Answer:

[tex]17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3[/tex]

Step-by-step explanation:

The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.

Answer:

-x+8=6

Step-by-step explanation:

x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

x+8

Answer:

24 hours

Step-by-step explanation:

160 x 18 = 2880

2880/120 = 24