Answer:
Choices 1 and 4 are correct.
Step-by-step explanation:
We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:
Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be 
. Therefore, if the line's slope is 3, then we need to find answers with a slope of
.
The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where
. The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:
Equations like these can be real sneaky, so it's important not to jump to conclusions with them.
Answer:
⅓
Step-by-step explanation:
n(s) 1 die & 2 coins = 6×4 = 24
n (event) 1 head = 6 (by die) +2( by coins)
= 8
so, probability P = 8/24 = ⅓
y = 500-(t25)
y is the amount of water
500-(t25) subtracts 25 liters every hour from 500, due to it multiplying the 25
The amount of money that Hudson will need to save each week is $106.25.
<h3>How to calculate the value?</h3>
From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.
Let the amount saved each week be represented as w.
Based on the information given, this will be illustrated as:
1500 + 16w = 3200
Collect like terms
16w = 3200 - 1500
16w = 1700
Divide
w = 1700 / 16
w = 106.25
The amount is $106.25.
Learn more about money on:
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Answer:
x = 50, y = 140
Step-by-step explanation:
The angles x, 40 and 90 lie on a straight line and sum to 180° , that is
x + 40 + 90 = 180
x + 130 = 180 ( subtract 130 from both sides )
x = 50
The angle vertically opposite x is congruent to x , that is 50°
y = 90 + 50 = 140
