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2 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

Tju [1.3M]2 years ago

5 0

Answer:

$y^2 + 2y + 80$

Step-by-step explanation:

$6y^2 + 2y + 5 - (5y^2 - 64 - 11)$

$6y^2 + 2y + 5 - 5y^2 + 64 + 11$ [pay attention to the signs :)

$y^2 + 2y + 80$

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Write an equation of the line, in standard form, containing the points (−6, 19) and (−15, 28).

Rudiy27

The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Recall:

Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.

The equation of a line in point-slope, $y - y_1 = m(x - x_1)$ , can be rewritten in the standard form.

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1}$

Given: (−6, 19) and (−15, 28)

Find the slope (m):

$m = \frac{28 - 19}{-15 -(-6)} = \frac{9}{-9} = -1$

Write the equation in point-slope form by substituting m = -1 and $(x_1, y_1) = (-6, 19)$ into $y - y_1 = m(x - x_1)$ .

$y - 19 = -1(x - (-6))\\\\y - 19 = -1(x + 6)$

Rewrite in standard form

$y - 19 = -1(x + 6)\\\\y - 19 = -x - 6\\\\y = -x - 6 + 19\\\\y = -x + 13\\\\\mathbf{x + y = 13}$

Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Learn more about equation of a line in standard form on:

brainly.com/question/19169731

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2 years ago

Write an equation in point slope form that passes through the point (1,8) & slope of -3 show all work

densk [106]

y-y1 = m(x-x1)

where: x1 = 1 y1 = 8 (given point (1,8) and m = -3

y - (8) = -3 (x - (1))

y - 8 = -3 (x-1)

y- 8 = -3x +1

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3 years ago

How do I find the volume?

kotykmax [81]

Answer:

14ft

First get the cones volume formula v=(3.14*r^2*h)/3

Second find the radius which is 1/2 the diameter.

Third plug in given and solve 366= (3.14*5^2*h)/3

366*3=3*(3.14*25*h)/3

1098=78.5h

1098/78.5=78.5h/78.5

13.987=h

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2 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$