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mylen [45]
3 years ago
10

What is the parallel line of y=2/3x+5

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

just change the b and the line is parallel

Step-by-step explanation:

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Determine the zeros of the function <br> 5) y=-x² + 2x + 1
Rus_ich [418]
<h3>Zeros of function are x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}</h3>

<em><u>Solution:</u></em>

<em><u>We have to find the zeros of the function</u></em>

y = -x^2 + 2x+1

Find the zeros of function:

-x^2 + 2x+1 = 0\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=-1,\:b=2,\:c=1\\\\x  =\frac{-2\pm \sqrt{2^2-4\left(-1\right)1}}{2\left(-1\right)}

Simplify\\\\x=\frac{-2 \pm \sqrt{4+4}}{-2}\\\\x =\frac{-2 \pm \sqrt{8}}{-2}\\\\Simplify\\\\x =\frac{-2 \pm 2 \sqrt{2}}{-2}\\\\x = 1 \pm \sqrt{2}

We have two zeros

x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}

Thus zeros of function are x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}

3 0
3 years ago
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PLEASE HELP!!! 30 POINTS!! FAKE RESPONSES REPORTED
BigorU [14]

Answer: is there any options ?

Step-by-step explanation:

4 0
3 years ago
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HELP ME ANSWER THIS PLEASE!!!!!<br> Complete the proof that m
Scrat [10]
Huh?????????? there’s no picture
4 0
3 years ago
Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it usi
DiKsa [7]

Answer:

\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps

3 0
3 years ago
12 gallons of gas to travel 144 miles. Six gallons in the tank how much more will she need to travel 240
ira [324]
Solution:
Here:
On 12 gallons of gas 144 miles is travelled.
So, for 1 mile :
\frac{12}{144}  \: gallons \: of \: gas
=  \frac{1}{12}  \: gallons \: of \: gas
is required.
Now,
for 240 miles:
\frac{1}{12}  \times 240
= 20 \: gallons \: of \: gas
is required.
But, according to question, the tank only contains 6 gallons of gas. So, see needs more (20 - 6) gallons of gas [i.e. 14 gallons of gas].
5 0
3 years ago
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