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melamori03 [73]
3 years ago
6

Determine whether each statement is true or false. If false, give a counterexample.

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0
This statement is true, or else you wouldn't have a sphere.
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Which equation represents the line that passes through the points (4, 6) and (−2, −1)?
KatRina [158]

Find the slope first by using rise/run

m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}

y=mx+b\\y=\frac{7}{6}x+b

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

y=\frac{7}{6}x+\frac{4}{3}

8 0
3 years ago
What is 78.32+6.784?
IceJOKER [234]

Answer: 85.104

Step-by-step explanation: Adding decimals is something you will use a lot. Take the time to learn it now. So when you are adding decimals there are some important things to keep in mind. 1. Line the decimals up. Let me explain. Lets do a example. Lets say its 14.5+ 15.74. The first thing you would need to do is line them up like this-->

14.5

15.74

+____

After you do that, Do you see a black space next to the 14.5? When adding decimals this is a big nono. So what you can do is add a 0. Adding a zero is only applicable when you have one number that has 1 more number(its my best way to explain it).( so like you would add a zero if your equation was like 23.5 +18.99. but you wouldn't do it if it was 17.5+19.4).  Example equation should look like this:

 14.5 0<---- add the zero!

 15.74

+____

Step 2. Put the decimal down to where it lines up. Like this:

 14.5 0

 15.74

+____

     .<------ make sure it lines up!

Step 3. Add regularly. Just ignore the decimal in the equation and just add. The answer would be 30.24. If you don't know how to add, I don't think your old enough for a brainly account:)

Step 4. Remove the zero. Zero as a number means nothing. So its ok in math to add a zero at the end of a decimal. So 4.0 is the same as 4 or 4.0000000000000. So when you have another problem, and your answer is something like 95.320, you can just remove the zero. So it would be 95.32:)

Hope I Helped! (this took me a long time to type out)

:)

7 0
3 years ago
Read 2 more answers
Help lol <br> question 1 and 2 <br> 15 points
DiKsa [7]

Answers:

  1. Choice B) y = (1/4)x
  2. The unit rate is <u>  3.89  </u> dollars per pound. It costs <u>  23.34  </u> dollars for a turkey that weighs 6 pounds.

=====================================================

Explanations:

  1. Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
  2. Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.
6 0
3 years ago
Read 2 more answers
Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break?
skad [1K]

Answer:

About 49.09 miles a day .

Step-by-step explanation:

5 0
3 years ago
What is the midpoint of (2,-2,4) and (-2,0,6)
Mekhanik [1.2K]
Midpoint of (a,b,c) and (e,f,g) is
((a+e)/2,(b+f)/2,(c+g)/2)
just average them

the x value
(2+-2)/2=0/2=0

the y value
(-2+0)/2=-2/2=-1

the z value
(4+6)/2=10/2=5

(0,-1,5) is da midopint
6 0
3 years ago
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