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2 years ago

which ordered pairs are a solution to the equation? y=2×-3 select all that apply (4,2) (1,-1) (-1,-7) (2,1)

1 answer:

3 0

To check if a point, such as (1, -1), is on your line, you can either sub in both the x and y values of each point into your line's equation, or one and check if the other matches up with your point.

For example, the x value of (1, -1) is 1, and the y value is -1. Sub these points into your equation:

y = 2x - 3 Original equation

(-1) = 2(1) - 3 Sub in points

-1 = 2 - 3

-1 = -1 Sides equal, therefore point is on line

If a point is NOT on the line:

y = 2x - 3 Original equation

(2) = 2(4) - 3 Sub in points

2 = 8 - 3

2 = 5 Sides do NOT equal, point is NOT on line, NOT a solution

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Help me pls!!

tresset_1 [31]

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is .

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

7 0

3 years ago

Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°

Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

$\angle OQR+\angle ORQ+\angle ROQ=180^o$

Now, since the figure already shows that angle $m\angle2+\angle ORQ+50^o=180^o$ Now, since we have established that the base angles $m\angle2+m\angle2+50^o=180^o$ we can now solve the above equation for m<2 as follows:

$\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}$

Therefore, the correct answer is: option D

7 0

1 year ago

Help please!! Stuck on this question!! ∠ABC is adjacent to ∠CBD. If the m∠ABC=4x+23, m∠CBD=6x+7, and m∠ABD=130°, what is the mea

Ulleksa [173]

Answer:

63 degrees

Step-by-step explanation:

add 4x + 23 and 6x + 7, then equal that to 130. When you find x, plug it into 4x+23 and get 63.

3 0

3 years ago

Find two number nearest to 8888888 which are exactly divisible by 2915

Marysya12 [62]

Step-by-step explanation:

Given problem is to find nearest number,

= 8888888/2915

quotient = 3049

remainder= 1053

Now, 2915-1053 = 1862

8888888+1862 = 8890750

8888888-1053 = 8887835

Two numbers nearest to 8888888 which are exactly divisible by 2915 is 8887835 and 8890750

3 0

2 years ago

What is the slope-intercept equation of the line below?

Andru [333]

Answer:

y= -3x+4

I hope this helps <3 have an amazing and wonderful day <3

Step-by-step explanation:

3 0

2 years ago

which ordered pairs are a solution to the equation? y=2×-3 select all that apply (4,2) (1,-1) (-1,-7) (2,1)​

which ordered pairs are a solution to the equation? y=2×-3 select all that apply (4,2) (1,-1) (-1,-7) (2,1)