Answer:
y = (7/2)x -20
Step-by-step explanation:
The given line is in slope-intercept form, so you can read its slope from the equation.
y = mx + b . . . . . m is the slope; b is the y-intercept
y = -(2/7)x + 9 . . . . . . has slope -2/7
The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...
m = -1/(-2/7) = 7/2
We can use this and the given point to write the equation in point-slope form.
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
We have m = 7/2, (h, k) = (4, -6) so the equation is ...
y = (7/2)(x -4) -6
y = (7/2)x -20
2(4z-9-11)=166-46
8z-18-22=120
8z-40=120
Add 40 from both side
8z-40+40=120+40
8z=160
Divided 8 from both side
8z/8=160/8
z=20. Hope it help!
Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -25$ - 45$ - 75$
Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$
Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
The amount of money Lola withdrew = 35$ + 55$ + 65$ = 155$
Answer:
Dilate circle A by a scale factor of 3.
Step-by-step explanation:
Generally, similar figures have sides in the same ratio
3(5) = 15
When dilate A by factor 3, it will look exactly like B
That is easy!! :)
y=3 and x=-7
When you find the factors of something like this, you have to just get the letter alone.
For example: y-3. You have to first write it as y-3=0, then you add 3 from BOTH sides of the = so that you can make the -3 go away and y will be alone. So, it will look like this: y-3+3=0+3. Then, you solve it for y (which just means that you want y by itself on one side of the = ). So, -3+3=0, which means they disappear from that side; since 0+3=3, that's what that side turns into, so what you end up with is y=3
Same thing goes for the x+7 equation:
x+7=0
x+7-7=0-7
x=-7