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nalin [4]
3 years ago
11

state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are parallel, perpendicular, or neither.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0
Parallel because they have the same slope. Y+4= -1/2(x-2) is in point slope form, simplified to y intercept form is y=1/2-5... The slope (m) in both equations is the same, if you graphed the equations they would be parallel
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Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c
Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation 4x^2+5x+3=2x^2-3x

2x^2+8x+3=0

On comparing with standard quadratic equation ax^2+bx+c

a = 2, b = 8 and c = 3

So roots of the equation will be x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581

(b) c^2-14=5c

c^2-5c-14=0

a = 1, b = -5 and c= -14

So c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855

7 0
3 years ago
PLZZ HELP ME WILL GIVE BRAINLIEST ( write in exponential form) 26*26^8
Lisa [10]

Answer:

26 * 26^8 = 26^9

Step-by-step explanation:

Here, we want to write 26 * 26^8 in exponential form.

26* 26^8 is same as 26^1 * 26^8

According to the first law of indices, we are going to add the powers together;

Thus, this gives ; 26^(1 + 8) = 26^9

5 0
3 years ago
Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 page
mrs_skeptik [129]

Based on the information given, it can be noted that Tom will use 117 days to read the book.

How to solve a equation.

Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.

Let the number of days be represented by x. Therefore, the equation to solve the question will be:

25 + (4 × x) = 490

25 + 4x = 490

4x = 490 - 25

4x = 465

x = 465/4

x = 116.25

x = 117

Therefore, he'll use 117 days to read the book.

Learn more about equations on:

brainly.com/question/13763238

6 0
2 years ago
Yall know the rate of change?
ale4655 [162]

Answer:

M=-3

Step-by-step explanation:

Slope:

y2-y1/x2-x1

-3-3/1+1=6/-2=-3

4 0
2 years ago
Does 5^9 x 6^7= 30^16 ?
Gemiola [76]

Yes. When solving a problem like this, multiply the base numbers normally, and add the exponents together.

If you need more help, comment below and I'd be happy to assist.

5 0
3 years ago
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