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2 years ago

Determine the slope of the line with the following graph

Mathematics

1 answer:

Delicious77 [7]2 years ago

8 0

Find the slope from a graph

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise to run to find the slope. m=riserun.

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The pH of stomach acid is 2.7. Which of the following is the closest to the hydrogen concentration?

Dmitrij [34]

Answer:

0.002M

Step-by-step explanation:

2.7= -log(H^+)

-2.7=log(H^+)

10^-2.7 M=H^+

0.0002M=H^+

3 0

2 years ago

What is the length of the equilateral triangle below?

kykrilka [37]

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, a² + b² = c², where c is the "HYPOTENUSE". In this case, c is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find a, we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with 5√3. You understand?

I am joyous to assist you anytime.

4 0

2 years ago

Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 End

kobusy [5.1K]

Answer:

The answer is:

She used the wrong common denominator

Step-by-step explanation:

Solving the given equation

$\frac{x}{x^2-5x+6}+\frac{x}{x+3}\\\\Step 1: \frac{x}{(x-2)(x-3)}+\frac{x}{x+3}\\Step2: \frac{x}{(x-2)(x-3)}+\frac{x(x-2)}{(x-2)(x+3)}\\Step3:\frac{x(x+3)+x(x-2)(x+3)}{(x-2)(x-3)(x+3)}$

Lets consider the steps given in the question:

$Step2: \frac{x}{(x-2)(x+3)}+\frac{3(x-2)}{(x-2)(x+3)}$

$Step3: \frac{x+3(x-2)}{(x-2)(x+3)}\\$

Lets compare both solutions:

In the original solution, the denominator of first term is (x-2)(x-3)

In the solution given in the question, the denominator of first term is (x-2)(x+3).

So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.

7 0

2 years ago

Read 2 more answers

Help me with this please.

horrorfan [7]

Answer:

1=point

2=line

3=line

4=line segment

5=ray

6=plane

7=plane

Step-by-step explanation:

4 0

2 years ago

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

Rama09 [41]

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$