Five less than twice what negative number squared is 157 <- put into an expression
-5 + 2(-x^2) = 157
Now simplify:
-5 + -2x^2 = 157
-2x^2 = 162
-2x^2 - 162 = 0
2x^2 + 162 = 0
x^2 + 81 = 0

3 0

4 years ago

Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travel

dedylja [7]

Answer:

Step-by-step explanation:

Let "s" be the the speed of the car taking the shorter route in $\frac{mi}{hr}$ ,

Let "s-2" the speed of the cat taking the longer route in $\frac{mi}{hr}$ ,

Let "d" be the distance of the shorter route in miles and "d+43" be the distance of the longer route in miles.

Now, Equation for car taking the shorter route is given as:

$d=s{\times}5$ (1)

and Equation for car taking the longer route is given as:

$d+43=(s-2){\times}6$ (2)

Now, substitute equation (1) in (2), we get

$5s+43=6s-12$

⇒ $43+12=s$

⇒ $s=55$

Therefore, equation (1) becomes,

$d=5s=5(55)=275$

Thus, the shorter route is =275 miles and the longer route is =d+43=275+43= 318 miles.

8 0

3 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

timurjin [86]

Answer:

Solution given:

b=9 base side of isosceles triangle

a= $\sqrt{9²+9²}=9\sqrt{2}$

8 0

3 years ago

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