Answer:
x = -12 x = -5
Step-by-step explanation:
-7x-60=x^2+10x
Add 7x to each side
-60=x^2+10x+7x
-60=x^2+17x
Add 60 to each side
0 = x^2+17x+60
Factor
What 2 numbers multiply to 60 and add to 17
12*5 = 60
12+5 = 17
0 = (x+12) (x+5)
Using the zero product property
x+12 = 0 x+5 =0
x = -12 x = -5
Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
Answer:
3152 cm²
Step-by-step explanation:
Applying,
A = bh+(a+b+c)L................... Euqation 1
Where A = surface area of the triangular prism, a, b, c are the length of the three side of the triangule respectively, L = Length of the prism, h = height of the triangle.
From the question,
Given: a = 25 cm, c = 25 cm, b = 14 cm, h = 24 cm, L = 44 cm
Substitute these values into equation 1
A = 14×24+(25+25+14)44
A = 336+2816
A = 3152 cm²
Answer:
Since the -5 is a bigger number than 1 you would keep the negative and carry it to the -4.
Step-by-step explanation:
