Mathematics, 01.07.2019 22:50 jc06gomez

Which ordered pair is a solution to this equation? 2x + 3y = 16 a. (5, 2) b. (3, 2) c. (11, 1) d. (7, 2) the equation of a line is −2x+5y=−20. what is the x-intercept of the line? enter your answer in the box. what is the slope of the line passing through the points (2, −5) and (4, 1)? a. 3 b. −45 c. 54 d. 2 select all statements that are true about the linear equation. y = 4x − 3 the graph of the equation is the set of all points that are solutions to the equation. the point (0, −3) is on the graph of the equation. point (1, 1) is on the graph of the equation. the graph of the equation is a single point representing one solution to the equation.

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Answer from: jessiegarrison1

Part 1) Which ordered pair is a solution to this equation?

2x + 3y = 16

Substitute the values of each pair ordered in the equation to find the solution

A. (5, 2)

$2*5 + 3*2 = 10+6\\ 16=16$

The pair ordered A is a solution

B. (3, 2)

2*3 + 3*2 = 6+6

$12\neq 16$

The pair ordered B is not a solution

C. (11, 1)

2*11 + 3*1 = 22+3

$25\neq 16$

The pair ordered C is not a solution

D. (7, 2)

2*7 + 3*2 = 14+6

$20\neq 16$

The pair ordered D is not a solution

therefore

the answer part 1) is

The ordered pair A. (5, 2) is a solution of the equation

Part 2) The equation of a line is -2x+5y=-20

we know that

the x-intercept is when the value of y is equal to zero

for y=0

Find the value of x

substitute

-2*x+5*0=-20

-2*x=-20

x=10

therefore

the answer part 2) is

The x-intercept is equal to

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

we know that

the slope of the line is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

Substitute the values in the formula

$m=\frac{(1+5)}{(4-2)}$

$m=\frac{(6)}{(2)}$

m=3

therefore

the answer part 3) is

The slope of the line is equal to

Part 4) Select all statements that are true about the linear equation.

y = 4x- 3

Statements

a) The graph of the equation is the set of all points that are solutions to the equation

This statements is True------> Any point that belongs to the graph of the equation is the solution to the equation

b) The point (0,-3) is on the graph of the equation

substitute the values in the equation

-3 = 4*0- 3

-3 = - 3 ----> the point is on the graph of the equation

therefore

This statements is True

c) The point (1, 1) is on the graph of the equation

substitute the values in the equation

1 = 4*1- 3

1 = 1 ----> the point is on the graph of the equation

therefore

This statements is True

d) The graph of the equation is a single point representing one solution to the equation

This statements is False ------> the equation graph are infinite points, representing infinite equation solutions

Answer from: LeoValdez5782

1. 2x + 3y = 16just a matter of subbing...answer is (5,2) <=

2. to find the x int, sub in 0 for y and solve for x
-2x + 5(0) = -20
x = -20/-2
x = 10or (10,0) <=

3. (2,-5)(4,1)...using slope formula : (y2 - y1) / (x2 - x1)
slope = (1 - (-5) / (4 - 2) = 6/2 = 3 <=

4. y = 4x - 3the first 3 are true

Answer from: Quest

Byou start by adding them all and setting them equal to 180 since that is half of the total degrees in a circle.(2x+8) + (3x-14) + (3x-14) = 1808x-20 = 1808x = 200x = 25

Answer from: Quest

answer: 1722

step-by-step explanation:

given: the mass of saturn= $5.685\times10^{26}\ kgs$

the mass of mercury= $3.302\times10^{23}\ kgs$

the number of times the mass of saturn is greater than the mass of mercury

$=\frac{\text{mass of saturn}}{\text{mass of mercury}}\\=\frac{5.685\times10^{26}}{3.302\times10^{23}}\\\\=1.72168\times10^{26-23}{by using law of exponent}]\\=1.72168\times10^3=1721.68\approx1722$

hence, the mass of saturn is 1722 times greater than the mass of mercury.

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