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3 years ago

What is the constant rate of change of (5,80) (4,64) and (6,96)

Mathematics

1 answer:

sveticcg [70]3 years ago

8 0

Answer:

Step-by-step explanation:

The existence of the constant rate of change is given the ratio of y to x is the same. Then:

$k_{1} = \frac{80}{5}$

$k_{1} = 16$

$k_{2} = \frac{64}{4}$

$k_{2} = 16$

$k_{3} = \frac{96}{6}$

$k_{3} = 16$

In consequence, the constant rate of change is 16.

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Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.

CaHeK987 [17]

For this case we have that by definition, the equation in the form of slope-intersection is given by:

$y = mx + b$

Where

m is the slope

b is the cut point

Substituting the given point: $(x, y) = (2, -4)$ and the cutoff point $b = -2$ we can find the slope,

We have:

$-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m$

$m =-\frac{2}{2}\\m = -1$

Thus, the equation is given by:

$y = -x-2$

Answer:

$y = -x-2$

See attached image

3 0

3 years ago

PLZ I NEED HELP!!! THIS IS TIMED!!!! PLZ HELP ME!

wel

Answer:

it is b

Step-by-step explanation:

hope i helped

5 0

3 years ago

Read 2 more answers

What is (2m+5) to the second power =0

drek231 [11]

I dont get the question so im going to show you both solutions
if you’re asking for (2m+5)²=0 then
(2m+5)²=0 /√
2m+5=0
m=-5/2

if you’re asking only for (2m+5)² then
4m²+20m+25

3 0

3 years ago

the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length

____ [38]

Answer:

Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself

Step-by-step explanation:

Okay so you have a weigh of 8 and a diagonal of 13.

If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.

Pythagorean theroum: a^2+b^2=c^2

Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.

In this case I’m substituting a for 8.

8^2+b^2=13^2

Solve the squares

64+b^2= 169

Isolate the b

b^2=105

Now square root 105

√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.

7 0

3 years ago

What group of numbers does -2 belong to?

Marizza181 [45]

Answer: Integers and Rational Numbers

Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:

Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.

Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.

Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.

Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.

So, -2 belongs in Integers and Rational Numbers

Hope this helps!

3 0

3 years ago