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2 years ago

What is the vertex of the parabola given by = -(x-2)^2-1?

Mathematics

1 answer:

weqwewe [10]2 years ago

3 0

Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)

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danielle did not complete 15 of her 200 assignments last year. Kim said that is 0.075 of her assignments and Kelly said it is 0.

Alona [7]

Answer:

Kim

is correct

Step-by-step explanation:

Here, we want to know who is correct between Kim and Danielle

From the question, what is not completed is 15 out of 200

To find what is not completed, we divide 15 by 200

Thus, we have;

15/200 = 0.075

This mean Kim is correct

3 0

1 year ago

What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

6 0

2 years ago

Pencils cost 0.55 each. A pack of pencils cost $11. Which equation can be used to fined p the number of pencils in one pack

Lerok [7]

$(0.55 \times p) = 11$
$p = (11 \div 0.55)$

8 0

2 years ago

A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

Pavel [41]

Decigrams are 100 times bigger than milligrams, so convert 8 decigrams to 800 milligrams. Than subract: 800-3= 797

The flea weighs 797 milligrams more than the ant.

5 0

2 years ago

1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.

AURORKA [14]

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

3 0

2 years ago