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4 years ago

What are the x-intercepts for y=x2+6x?

Mathematics

1 answer:

pogonyaev4 years ago

4 0

Answer:

(0,0), (-6,6)

Step-by-step explanation:

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the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?

stich3 [128]

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = $\frac{1}{3}$

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

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

= $\frac{-13+12}{12-15}$

= $\frac{1}{3}$

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = $\frac{-9+7}{18-24}$

= $\frac{1}{3}$

Both the lines are parallel having no point of intersection.

Option C

Slope = $\frac{-20+21}{15-18}$

= $-\frac{1}{3}$

Therefore, both the lines will intersect.

Option D

Slope = $\frac{-15+14}{30-36}$

= $\frac{1}{6}$

Both the lines will intersect each other.

Option E

Slope = $\frac{-11+10}{24-30}$

= $\frac{1}{6}$

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

6 0

3 years ago

One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

inna [77]

Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

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

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$

Thus number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

3 0

3 years ago

The expression is equal to listen to thi the expression is equal to this 4(2x 11-x)

vaieri [72.5K]

8x-44-4x or simply 4x-44

3 0

3 years ago

Somebody help me out

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

what math is this?

5 0

3 years ago

The product of two and x plus the quotient of w and five

Nataly [62]

Answer:

2x+w/5

Step-by-step explanation:

(2*x)+(w/5)

2x +w/5

8 0

3 years ago