<h3>
Answer: y - 4 = -2(x - 5)</h3>
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Explanation:
Point slope form is
y - y1 = m(x - x1)
where m is the slope and (x1,y1) is the point the line goes through.
Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.
-2 will go in the second box that's just to the left of the parenthesis.
The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.
We go from this
y - y1 = m(x - x1)
to this
y - 4 = -2(x - 5)
Amount of students x Amount of buses
= 32 x 6
= 192 [students]
You need 192 seats since there are 192 students. To find how many rows you need you divide 192 by 8 which gives you 24
24 rows of seats are needed for the students
Answer:
0.7999989281
Step-by-step explanation:
x1 = cos^-1 (3/5)
x1= 53.13°
sin(53.13) = 0.7999989281
Answer:
5(2x-1) = 5(2x) - 5(1)
Step-by-step explanation:
The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.
It can be written as:
a(b+c) = ab + ac
or
a(b-c) = ab - ac
So, for the given question,
=>5(2x-1) = 5(2x) - 5(1)
Lets x = measure of the second angle, so m<2 = x
m<1 = 2x (<span>the measure of the first angle is twice the measure of the second angle)
</span>m<3 = x + 96 (<span>96 degrees more than the measure of the second angle)
</span>
x + 2x + x+ 96 = 180
4x + 96 = 180
4x = 84
x = 21
2x = 2(21) = 42
x + 96 = 21+96 = 117
answer
m<1 = 42
m<2 = 21
m<3 = 117
Double check
sum = 180
m<1 + m<2 +m<3 = 180
42+21+117=180
180=180
