A car is traveling at a steady speed. It travels 15 mil

Mathematics

1 answer:

joja [24]3 years ago

5 0

Answer:

Step-by-step explanation:

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Tell whether (1,-1) is a solution of y 9x - 10

posledela

Answer:

yes, it is

Step-by-step explanation:

plug in the point (1, -1) (x,y) into the equation y = 9x - 10

-1 = 9(1)-10

-1 = 9-10

-1=-1

5 0

3 years ago

What is 15 = -y + 10

Murrr4er [49]

It's a simple linear equation in a single variable, 'y' . Its solution is the number
that 'y' must be in order to make the equation a true statement. Here's how to
find the solution:

Write the equation: 15 = -y + 10

Subtract 10 from each side: 5 = -y

Multiply each side by -1 : -5 = y

7 0

3 years ago

Read 2 more answers

Is the triangle obtuse, acute, equilateral or right?

Stells [14]

9514 1404 393

Answer:

obtuse

Step-by-step explanation:

The law of cosines tells you ...

b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

$\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

$\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$