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joja [24]
3 years ago
8

The vertex form of the equation of a parabola is y = (x - 3)2 + 36.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0
- B. y = x2 - 6x + 45
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What is the value of x?<br> Enter your answer in the box.<br> x =
olasank [31]

Answer:

x = 21

Step-by-step explanation:

The sum the the interior angles of a triangle is 180°.

We know that the three angles of the triangle is 100°, x° - 4, and 3x°.

The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:

100 + x - 4 + 3x = 180

(I got rid of the degree signs because they are not necessary when finding x.)

Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.

100 + x - 4 + 3x = 180

Subtract 100 from both sides to get rid of the 100 on the left side.

x - 4 + 3x = 180 - 100

Simplify.

x - 4 + 3x = 80

Add 4 from both sides to get rid of the -4 on the left side.

x + 3x = 80 + 4

Simplify and combine like terms.

4x = 84

Divide 4 from both sides to get rid of the coefficient of 4 on the left side.

x = 84/4

Simply.

x = 21

The value of x would be 21.

x = 21

I hope you find this helpful. :)

7 0
3 years ago
Find the equation of the line passing through the points (3,7) and (-2,5)
r-ruslan [8.4K]

Answer:

The equation of the line passing through the points (3,7) and (-2,5) is y=⅖x+29/5

Step-by-step explanation:

Greetings !

first \: find \: the \: slope \: m \\ m =  \frac{(Y₂-Y₁)}{(X₂-X₁)} ..substitute \: vlues \\ m =  \frac{(5 - 7)}{( - 2 - 3)}  =  \frac{ - 2}{ - 5}  =  \frac{2}{5}  \\ y = mx + b \: to \: find \: equation \: of \: aline \\ between \: two \: poins and \: use \:  \\ one \: of \: the \: two \: points \: lets \: take( - 2.5) \\ y = mx + b \\ 5 =  \frac{ - 2}{5} ( - 2) + b \\ 5 =  \frac{ - 4}{5}  + b \\ 5 +  { - 4}^{5}  = b \\  \frac{25 + 4}{5}  = b \\ b =  \frac{29}{5}  \\ finally \: equation \: of \: the \: line \: will \: be \\ y =  \frac{2}{5} x +  \frac{29}{5}

7 0
2 years ago
Im confused can somebody help me please
ivann1987 [24]

well, we know the piece-wise function is f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}

hmmm so what's f(-1), namely what is f(x) when x = -1?

well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say

f(-1) = 7(-1) + 10

f(-1) = 3

so hmm what's f(0) or namely, what's f(x) when x = 0?

well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or <u>equals</u> to 0", x ⩾ 0, so then is 7x + 20

f(0) = 7(0) + 20

f(0) = 20.

6 0
2 years ago
How many whole numbers greater than 0 and less than 100 are divisible by 2? ​
Bess [88]

Answer: 49

Step-by-step explanation:

If it's less than 100, that means that you can't use the number 100 in the answer. From 0 - 100 there are 50 even numbers (divisible by 2), so that means that there would be 50 - 1 even numbers between 0 and 100 (not including 100). 50 - 1 = 49

:D

5 0
3 years ago
The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other
GaryK [48]
Erm 11 isn’t a factor of 64..?
6 0
3 years ago
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