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3 years ago

Which line is parallel to the line that passes through the points (1,7) and (-3, 4)?

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Answer:

Step-by-step explanation:

i hope you get this helpfull to get answer of this question take the qr code and scan it then you will get the answer

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Express the prime number 31 in the form 2^p − 1 where p is a prime number and as a difference of two perfect squares using the i

stellarik [79]

Answer:

31 = 2⁵ -1

31 = 16²- 15²

Step-by-step explanation:

As we know that

2¹=2

2²= 4

2³= 8

2⁴= 16

2⁵=32

32 = 2⁵

By subtracting 1 in bot sides

32-1 = 2⁵ -1

31 = 2⁵ -1

2⁵ -1 = 31

By comparing with

$2^p-1$

p= 5

As we know that

15²= 225

16² = 256

16²- 15² = 256-225 = 31

16²- 15² = (16+15)(16-15)

31 = (16+15)(16-15)

5 0

4 years ago

Change 0.8 to a common fraction.

Anon25 [30]

This one could be 8/10, or 4/5 simplified

8 0

3 years ago

Read 2 more answers

Pls help !!!!! i'll mark brainliest

ExtremeBDS [4]

Answer:

Last year there were 550 bison in the heard and this year it is 10% larger.

10% is also 10/100 or 0.10

To find 10% of the heard last year

550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,

to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.

550 x 1.10 = 605

For the second example.

If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.

550 = (x - (x * 0.10)) simplify;

550 = 1x - 0.10x

550 = 0.90x

Divide both sides by 0.90

x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.

5 0

3 years ago

Pls help only if yk it ill give brainliest to the correct answer !

IgorC [24]

Answer:

$x=-0.3$

$x=-11.7$

Step-by-step explanation:

$4x^2+24x+13=2x^2+6\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\4x^2+24x+13-6=2x^2+6-6\\Simplify\\4x^2+24x+7=2x^2\\\mathrm{Subtract\:}2x^2\mathrm{\:from\:both\:sides}\\4x^2+24x+7-2x^2=2x^2-2x^2\\Simplify\\2x^2+24x+7=0\\\mathrm{Solve\:with\:the\:quadratic\:formula}\\Quadratic\:Equation\:Formula\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=24,\:c=7:\quad x_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\cdot \:2\cdot \:7}}{2\cdot \:2}\\x=\frac{-24+\sqrt{24^2-4\cdot \:2\cdot \:7}}{2\cdot \:2}:\quad \frac{-12+\sqrt{130}}{2}\\x=\frac{-24-\sqrt{24^2-4\cdot \:2\cdot \:7}}{2\cdot \:2}:\quad -\frac{12+\sqrt{130}}{2}\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=\frac{-12+\sqrt{130}}{2},\:x=-\frac{12+\sqrt{130}}{2}\\\\quad x=-0.29912\ ,\:x=-11.70087$

6 0

3 years ago

Suppose a second player standing at (90,40) misses the ball, turns around and runs on a path parallel to the baseballs path. Wha

hoa [83]

Answer:

y = (1/3)x + 10.

Step-by-step explanation:

The path of the baseball is shown in the image below. We can see that the baseball passes through the point (0, 0) and (60, 20). The equation of the baseball path is gotten using the formula:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{60-0} (x-0)\\\\y=\frac{1}{3}x$

The equation of a straight line is given as y = mx + b, where m is the slope, b is the y intercept

The slope of the baseball path is 1/3

The second player is at (90, 40) and runs parallel to the baseball path.

If two lines are parallel then they have the same slope.

Since the player moves parallel to the baseball path, the slope would also be 1/3. The equation of the players path is gotten using:

$y-y_1=m(x-x_1)\\\\y-40=\frac{1}{3}(x-90)\\\\y= \frac{1}{3}x - 30+40\\\\y=\frac{1}{3}x+10$

3 0

3 years ago