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3 years ago

Finding the slope in y- intercept form 2×+7y=21

1 answer:

4 0

To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.

Let's solve your equation for y.

$2x + 7y = 21$

Subtract 2x from both sides.

$7y = -2x + 21$

Divide both sides by 7.

$y = -\dfrac{2}{7} x + \dfrac{21}{7}$

$y = -\dfrac{2}{7} x + 3$

Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.

$m = -\dfrac{2}{7}$

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a circular fountaind in a park is 30 feet in diameter. A park employee will plant marigolds around it. What is the radius of the

aksik [14]

Radius= 1/2 diameter
Radius= 1/2(30)
Radius= 30/2
Radius= 15 feet

Circumference= 2πr
C= 2(3.14)(15)
C= (6.28)(15)
C= 94.2 feet

ANSWER: Radius is 15 feet; Circumference is 94.2 feet

Hope this helps! :)

3 0

2 years ago

Read 2 more answers

Solve the equation for y. 8x – 9y = 11

pav-90 [236]

8x-9y=11

First you move the 8x because you have to leave the 9y alone

8x-9y=11
-8x -8x

-9y=11-8x

Now you have to move the -9, so the inverse of multiplying is dividing so you divide -9.

-9y/-9= 11/-9 -8x/-9

since you can't have negative as a denominator it would be:

y= -11/9+8x/9

You have to change the signs

3 0

2 years ago

15 points to whoever can answer this question!!!!

Amanda [17]

I just answered this question(s). mean is average. So you just add all the numbers up per country and divide by how many numbers there are. I hope you know how to graph otherwise look it up on kan academy and the country with the lowest number for height is the gold medalist. And the top three fastest go as gold, silver and bronze<<<<in this specific order.

3 0

2 years ago

A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%

OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

Step :- (i)

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

95% of confidence intervals

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

Step:-(ii)

The degrees of freedom γ=n-1 = 15-1=14

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

$(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )$

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

Conclusion:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0

2 years ago

A triangle has side lengths of 34 in., 20 in., and 47 in. Classify it as acute, obtuse, or right.

Anestetic [448]

34^2 + 20^2 = 1156 + 400 = 1556

47^2 = 2209

because the squares of the 2 smaller sides is less than the square of the longer side the triangle is Obtuse

3 0

2 years ago