Steps to solve:
4x + (15x + y) - 11y
~Remove parenthesis and combine like terms
4x + 15x + y - 11y
19x - 10y
Best of Luck!
Answer:
(64x -11)/y
Step-by-step explanation:
Multiply 4x into the parenthesis.
60x + 4xy -11y
Divide by y.
(60x + 4x -11)/y
(64x -11)/y
Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - =
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y = x + 1 ← equation of perpendicular line
B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3
The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Then a Set of such values is called solution set to the considered equation or inequality.
The equivalent form of the given inequality can be obtained by dividing the inequality into two parts.
In this case, we are given -22 > -5x - 7 > -3.
The two parts are; -22 > -5x - 7 and -5x - 7 > -3.
Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.
For part two, we have −5x − 7 ≥ −3 remains unchanged.
Therefore, The choice that reflects these parts is A)-5x - 7 < -22 and -5x - 7 -3
Hence, The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3
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b. How many swimming lessons did she pay for?
c. At the time she has $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?
AFC
BFC
DFE
Answer:
The triangle that seems to be congruent to triangle AFD is triangle AFC.
Step-by-step explanation:
As in the give triangle AFD, there is an obtuse angle, i.e angle AFD is obtuse angle.
So, in order to have a congruent triangle, the another triangle must have an obtuse angle.
From the given triangles, only triangle AFC has an obtuse angle and that is angle AFC. And they also share a side, so the chances of congruency is more in this case.
Triangle BFC and Triangle DFE does not have an obtuse angle.