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3 years ago

The verticals of a right triangle are (0, -6), (6, -3), and (x, -6). Find the value of x.

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

(0,-6), (6, -3), and (6,-6)

If you plot them on a graph there are only two point options (in green and purple) since it's a right triangle but you have to use the one that has -6 as the y value

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What is 8 3/5 + 4 4/5?

dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: Define/explain.

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: Solve.

$8\frac{3}{5} =\frac{43}{5}$

$4\frac{4}{5} =\frac{24}{5}$

From here, add as usual.

$\frac{43}{5} +\frac{24}{5} =\frac{67}{5}$

Step 3: Conclude.

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

$\frac{67}{5} =13\frac{2}{5}$

I, therefore, believe the answer to this is 13 2/5.

5 0

2 years ago

Richie and bethany play basketball and practice shooting free throws after school. During one practice session, Richie attempted

mamaluj [8]

Answer:

Bethany did not do better than Richie because her average score was less than his.

Step-by-step explanation:

Average Value

The average or mean value of m successes out of n tries is given by:

$\displaystyle \bar x=\frac{m}{n}$

During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:

$\displaystyle \bar x=\frac{12}{15}=0.8$

Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:

$\displaystyle \bar x=\frac{8}{11}=0.72$

Bethany did not do better than Richie because her average score was less than his.

5 0

3 years ago

Donna is a computer repair person. She charges a flat fee of $20 for each computer plus an hourly charge of $9 per hour. Yesterd

ollegr [7]

Answer:

$147

Step-by-step explanation:

20×6=120 9×3=27. 120+27=147

5 0

2 years ago

If a quadratic function has x-intercepts at 2 = -

PolarNik [594]

Complete question is;

If a quadratic function has x-intercepts at x = -3 and x = -1, one possible equation of the function would be y = (x + 3)(x + 1), a graph that first

decreases until it reaches the vertex, (-3, -1), then increases (opening upward U shape).

So then, if a quadratic function has x-intercepts at x = -2 and x = 2

a. What is the equation of this quadratic function? Explain your reasoning

b. What is the vertex of the equation? Show your work and explain your reasoning.

Answer:

Quadratic equation is; y = x² - 4

Vertex: (0, -4)

Step-by-step explanation:

The x-intercepts are at x = -2 and x = 2. Thus, the equation is;

y = (x - (-2))(x - 2)

y = x² + 2x - 2x - 4

y = x² - 4

Now,the coordinates of the vertex will be (h, k)

Where;

h = -b/2a

k is the value of y at x = h

From y = x² - 4, h = 0

Thus, putting x = h = 0 in the quadratic equation, we have;

y = 0² - 4

y = -4

Thus,the coordinates of the vertex are; (0, -4)

3 0

3 years ago

Amber is on a family cell phone plan with 2 other family members. The family gets 720 shared cell phone minutes a month, each fa

chubhunter [2.5K]

Amber plus 2 family members = 3 total people on the plan.

They share the minutes equally so divide the minutes by 3 to find how many she can use:

720 / 3 = 240 minutes per month.

Now divide the monthly minutes by 30 days:

240 / 30 = 8 minutes per day.

6 0

3 years ago