Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = 
= 
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' = 
= 
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = 
x = 
From equation (1),
y = 2x + 7
y = 
= 
= 
= 
Therefore, exact solution of the system of equations is
.
Option (B) will be the answer.
Answer:
(23,-4):
units
Step-by-step explanation:
We are given that M(-19,4)and P(4,0)
We have to find the ordered pair that represents MP and find the magnitude of MP.
MP=P-M
MP=(4,0)-(-19,4)=(4+19,0-4)
MP=(23,-4)
Magnitude of MP=
Magnitude of MP=
Magnitude of MP=
units
Hence, .option c is true.
Answer:c.(23,-4):
units
7/50 = 0.14 therefore In order to write it as a fraction out of 100 you move 2 decimal to the right.
Therefore, the answer for the first box is 14/100
The last box obviously being 0.14
Answer:
5 hours
Step-by-step explanation:
If shes going 59mph and the total trip is 295mph
then you would divid 295 by 59 and get 5
Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
brainly.com/question/1675117