Answer:
The equation of line with slope -7 passing through (5,9) in point-slope form is:

Step-by-step explanation:
Given
Slope of line = m = -7
Point = (5,9)
The point slope form of equation is obtained from a point and slope. It is given by the equation:

We know that (x1,y1) = (5,9)
Putting the values we get

Hence,
The equation of line with slope -7 passing through (5,9) in point-slope form is:

Answer:
both choices with 2x+y = -3
Step-by-step explanation:
to have the solution (-4, 5), that point must be on both equations/functions, meaning it must be on either one.
in other words, if the point is not on at least one of the functions, it cannot be a solution for that system.
the given function
2x + y = -3
looks like for the point (-4, 5)
2×-4 + 5 = -3
-8 + 5 = -3
-3 = -3
correct.
but
-2x + y = -3
looks like for (-4, 5)
-2×-4 + 5 = -3
8 + 5 = -3
13 = -3
wrong. the point is not on this function.
as we can therefore rule out 2 of the answer options, the other 2 most be correct.
Rachel needs to work 64 hours to earn 1 vacati on day
Answer:
The correct option C:
C) S → R: If he stays home, then it will rain.
Step-by-step explanation:
There are three main transformation for an if-then statements. These three are names are converse, inverse and contrapositive.
If the statement is given:
R → S: "If it rains, then he will stay home."
Then its Converse will be:
S → R: If he stays home, then it will rain.
Its Inverse will be:
∼R → ∼S: If it doesn't rain, then he won't stay home.
Its Contrapositive will be the inverse of the converse.
Answer:
Step-by-step explanation:
Jill makes purses and backpacks.
Let x represent the number of foot of fabric required to make a purse.
Let y represent the number of foot of fabric required to make a backpack.
To make each purse,she uses 1 foot less than half the amount of fabric she uses to make a backpack. This means that
x = (y/2) - 1
Therefore, the amount of fabric that Jill needs to make backpack will be
y/2 = x-1
y = 2(x-1) = 2x - 2
The number of feet of fabric that she will use to make a purse is
x = (y/2) - 1