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4 years ago

Give two points with integer coordinates that have a slope of 10/7 between them

Mathematics

1 answer:

Fittoniya [83]4 years ago

7 0

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

y = (10/7) x ----- eq 1

we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

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Alchen [17]

Answer:

Step-by-step explanation:

we are given that 1 angle equals 27 and the other two are equal.

180-27=153. and the other two are equal so they each equal 76.5 (153 divided by 2) now since one of the angles is supplementary with angle x, they together must equal 180 so: 180-76.5=x, x=103.5

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3 years ago

Lucas bought a used car for x dollars. one year later the value of the car was 0.80 x. which expression is another way to descri

Mariana [72]

Knowing that a year later, the car is only worth 0.80 x, you can simplify that by stating that one year after purchase, the car is only worth 80% of its original purchase price.
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3 years ago

A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

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3 years ago

I don't know how to do math lol

IgorC [24]

Answer:

Ima guess 60

Step-by-step explanation:

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3 years ago

Read 2 more answers

Mark McGuire hit 70 home runs in the 1998 season. Given that there are 4 bases & 90 feet between each base, how many miles d

alekssr [168]

Answer:

4.8 or about 5 miles

Step-by-step explanation:

In order to solve this problem, you must first multiply the 4 bases × 90 feet to get how much feet he runs in 1 home run. 4 × 90= 360 feet. Then you must multiply 360 feet × 70 homeruns, this will give you how many feet he ran in 70 homeruns. Your answer will be 25,200 feet. Now, there are 5,280 feet in <em>one</em> mile, so you must divide 25,200 by 5,280. Using a calculator, my answer was 4.7727272727. I then rounded it up to 4.8 miles, or about 5 miles.

6 0

4 years ago