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2 years ago

What is the slope and y-intercept of the equation 6x - 1 = 3y - 10?*

Mathematics

1 answer:

Ad libitum [116K]2 years ago

6 0

Answer:

m = 2, b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

6x - 1 = 3y - 10 ( add 10 to both sides )

6x + 9 = 3y ( divide all terms by 3 )

2x + 3 = y , that is

y = 2x + 3 ← in slope- intercept form

with slope m = 2 and y- intercept b = 3

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Which is used by scientists as evidence that earths inner core is solid?

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What are the answer choices???

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3 years ago

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What is the mass of a cylinder of lead with a radius of 2 centimeters and a height of 6 centimeters, given that the density of l

ycow [4]

The mass of lead cylinder is: 859.10 grams

Step-by-step explanation:

In order to find the mass of a cylinder we have to find the volume first

Given

Radius = r = 2 cm

Height = h = 6 cm

The volume of cylinder is given by:

$V = \pi r^2h$

Putting the values

$V = 3.14 * (2)^2 * 6\\= 3.14*4*6\\=75.36\ cm^3$

Now,

Density of lead per cm^3 = 11.4g

$Mass\ of\ cylinder = Volume*Density\\= 75.36*11.4\\=859.10\ grams$

The mass of lead cylinder is: 859.10 grams

Keywords: Volume, Density

Learn more about volume at:

#LearnwithBrainly

7 0

2 years ago

The Ruler below shows 7-inches segment divided into 2 equal parts. What is the length of one of those parts. Fill in the blanks

ella [17]

Answer:

$3\frac{1}{2}$

Step-by-step explanation:

If the ruler is divided into 2 equal parts, divide 7 inches by 2

7/2 = 3.5 or 3 $\frac{1}{2}$

8 0

2 years ago

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizont

netineya [11]

This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
$x=\frac{-1.53}{2*-.03}=25.5$

Plugging this into the given formula:
$y=-0.03(25.5)^2+1.53(25.5)=19.5075$
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
$0=-0.03x^2+1.53x=x(-0.03x+1.53)$

Then by the zero product property (or the no zero divisors rule), we have:
$x=0$ (this is the x value where the ball is kicked from)
$-0.03x+1.53=0$
$-0.03x=-1.53$
$x=51$

So the ball travels 51 yards in total.

4 0

2 years ago

Read 2 more answers

Sara has 20 sweets. She has 12 liquorice sweets, 5 mint sweets and 3 humbugs. Sarah is going to take, at random, two sweets Work

Debora [2.8K]

Answer:

111 / 190

Step-by-step explanation:

Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

$12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}$

Apply this same concept to each of the other sweets;

$5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190$

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

$33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\$

The probability that the two sweets will not be the same type of sweet =

111 / 190

3 0

3 years ago