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lions [1.4K]
2 years ago
7

Tell me what the letters A, H, and K stand for in the vertex form.

Mathematics
1 answer:
kherson [118]2 years ago
6 0

Greetings.

The answer is

a = determines the shape of parabola (upward, downward, narrow or wide)

h = determines the transformation of the graph for x-axis (For example, (x+1)², the graph would move from x=0 to x=-1

k = determines the transformation of the graph for y-axis. (For example, x²+1, the graph would move from y = 0 to y = 1.

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Wesley and Lincoln went fishing. Wesley caught a fish 15 3/16 inches long and Lincoln caught a fish 12 3/4 inches long. How many
Arlecino [84]

Answer:

2 7/16 inches longer

Step-by-step explanation:

15 3/16 - 12 3/4= 243/16 - 51/4 = 243/16 - 204/16= 39/16 inches longer

39/16=2 7/16 inches longer

8 0
1 year ago
Given the right triangle below what is x?
lions [1.4K]

Answer:

B 10.8 or

A 9.2 depending on what side of the triangle is "x".

Step-by-step explanation:

we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).

but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).

then by using Pythagoras

c² = a² + b²

=>

x² = 10² + 4² = 116

x = sqrt(116) = 10.8

but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.

for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this

10² = x² + 4²

x² = 10² - 4² = 84

x = sqrt(84) = 9.2 (and answer A would be correct).

or if the Hypotenuse is the side with 4, then

4² = x² + 10²

x² = 4² - 10² = -84

x = sqrt(-84)

and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.

5 0
3 years ago
Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years
Helen [10]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{4}\right)^{4\cdot 4}\implies A=2500(1.01)^{16}\implies A\approx 2931.4466123

3 0
3 years ago
Three added to 4 times a number is equal to 5 less than 6 times the number. What is the number?
kifflom [539]
4x+3=6x-5
3=2x-5
8=2x
4=x
5 0
2 years ago
Read 2 more answers
(2x-7)^2 subtracted from 2
weqwewe [10]

Write out the expression 2 - (2x-7)^2.  That's it.

But if you want to go further and remove the parentheses, first expand (2x-7)^2:   (2x-7)^2 = 4x^2 - 28x + 49,

and then subtract this result from 2:

2 - (4x^2 - 28x + 49) (It's important to use parentheses here)

Now, following the distributive property of multiplication, remove the parentheses:

2 - 4x^2 + 28x - 49

Combining the constants, we get the final answer:  - 4x^2 + 28x - 47

4 0
2 years ago
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