Which ordered pair is a solution to the linear system?
2x + y = 5
x - y = 13

A) (6,-7)
B) (7,6)
C) (-6,-7)
D) (-7,-6)

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:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

Answer:

24 hours

Step-by-step explanation:

160 x 18 = 2880

2880/120 = 24

Answer:

the answer is B

Step-by-step explanation:

I think it's B because it was just because the reporter got then skiers from florida

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: The vertex is x=-7/6

*The graph is below*

Hope that this helps!

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)

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:

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:

[tex]C'(t) = \frac{t-3.95}{0.95}[/tex]

Step-by-step explanation:

Given

[tex]C=0.95t+3.95[/tex]

Required

The inverse function

[tex]C=0.95t+3.95[/tex]

Swap C and t

[tex]t=0.95C+3.95[/tex]

Make C the subject

[tex]0.95C = t - 3.95[/tex]

Divide by 0.95

[tex]C = \frac{t}{0.95} - \frac{3.95}{0.95}[/tex]

Hence, the inverse function is:

[tex]C'(t) = \frac{t}{0.95} - \frac{3.95}{0.95}[/tex]

or

[tex]C'(t) = \frac{t-3.95}{0.95}[/tex]

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:

It takes the rock approximately 4.96 seconds to reach the ground

Step-by-step explanation:

The given parameters of the rock thrown down from the hot air balloon are;

The (initial) downward velocity with which the rock was thrown down, u = 20 feet/second

The height of the balloon when the rock was thrown down, h = 220 feet

According to the kinetic equation of motion, we have;

h = u·t + (1/2)·g·t²

Where;

h = The height of the rock when it was thrown = 220 ft.

u = The initial velocity of the rock = 20 ft./s

g = The acceleration due to gravity acting on the rock = 9.81 m/s²

t = How long it takes the rock to reach the ground

Plugging in the values gives;

220 = 20·t + (1/2)×9.81×t²

4.905·t² + 20·t - 220 = 0

Therefore;

t = (-20 ± √(20² - 4×4.905×(-220)))/(2 × 4.905)

t ≈ 4.96, or t ≈ -9.04

Therefore, the time it takes the rock to reach the ground, t ≈ 4.96 seconds.

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Answer:

24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is

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:

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:  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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the answer is option e. *answer needs to be 20 characters long this should do :)

Answer:

d=5

Step-by-step explanation:

distance between two points d=√[(x2-x1)²+(y2-y1)²]

d=√[(0-4)²+(6-3)²]

d=√[16+3²]

=√(16+9)

=√25

=5

Answer:

5

Step-by-step explanation:

use the distance formula for points (x1, y1) and (x2, y2)

d² = (x2 -x1)² +(y2-y1)²

for the points (4, 3) and (0, 6) we have

d² = (4-0)² +(3-6)² ; solve what is in parentheses

d² = 4² + (-3)²; square the numbers

d² = 16+9 ; add

d² = 25 ; square root both sides

d= √25

d= 5

Answer:

343342342252527

Step-by-step explanation:

add

Answer:

x = 17, x = 112, x = 100

Step-by-step explanation:

First problem:

From what I can see, there is a 90º angle present. When you subtract 73 from 90, you get 17, so x is 17.

Second problem:

x and 112 are vertical angles. "Vertical angle theorem, no matter how you throw your skewers or pencils so that they cross, or how two intersecting lines cross, vertical angles will always be congruent, or equal to each other." - https://tutors.com/math-tutors/geometry-help/vertical-angles

Third problem:

The base is a straight, horizontal line, which means that it is 180º. Subtract 80 from 180, you get 100. Therefore, x is 100.

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 .

Answer:

True

Step-by-step explanation:

x^2 - 6x + 8

What two numbers multiply to 8 and add to -6

-4*-2 = 8

-4+-2 = -6

(x-4)(x-2)

Answer:

hope it is helpful to you

this is another answer

sorry for bad handwriting

actually its my sista handwriting

Answer:

10 :)

Step-by-step explanation:

I hope this helped :)