Answer:
2, -6
Step-by-step explanation:
x^2 + 4x - 12
A = 1
B = 4
C = -12
i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work
for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X
the bottom part of the x will be your B value which is 4
we have to find multiples of -12 that will also add to 4
so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work
i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.
Also, in a triangle, the sum of the measures of the interior angles is 180.
We can now calculate the measures of the three angles by writing and solving an equation.
m<A + m<B + m<C = 180
9x - 7 + 7x - 9 + 28 - 2x = 180
Collect like terms on the left side.
9x + 7x - 2x - 7 - 9 + 28 = 180
14x + 12 = 180
Subtract 12 from both sides.
14x = 168
x = 12
Now that we know x, we can find the measure of each angle.
m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4
(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)
Now that we know the angle measures, the opposite sides are in the same order of size.
AB < AC < BC
The sides are, in increasing order of length:
AB, AC, BC
Use MathPapa for a faster answer hehe
Answer:
m=16/17
Step-by-step explanation:
8(3m-2)-7m=0
24m-16-7m=0
17m-16=0
17m=16
m=16/17
The unit rate of the car A is 30 miles per hour and the unit rate of the car B is 30.3 miles per hour.
<h3>What is the unit rate of each car?</h3>
In this question we find two case of two car travelling at constant speed, meaning that traveled distance (x), in miles, is directly proportional to time (t), in hours, then the unit rate of each car (v), in miles per hour, is represented by the following formula:
v = x / t (1)
Now we proceed to determine the unit rate of each case:
Car A - x = 45 / 2 miles, t = 3 / 4 hours
v = (45 / 2 mi) / (3 / 4 h)
v = 30 mi / h
Car B - x = 101 / 4 miles, t = 5 / 6 hours
v = (101 / 4 mi) / (5 / 6 h)
v = 30.3 mi / h
The unit rate of the car A is 30 miles per hour and the unit rate of the car B is 30.3 miles per hour.
To learn more on direct variation: brainly.com/question/14254277
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