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3 years ago

Can someone please help me with simplifying ratios and fractions? thanks

Mathematics

1 answer:

Nady [450]3 years ago

3 0

Yes i can......but, where is the question?

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Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),

Setler [38]

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

7 0

1 year ago

Explain why the sum 2x^2 + 4x^2<br><br> is not equivalent to 6^4 <br>What is the correct answer?

Greeley [361]

6x^2 is the correct answer to the problem.

8 0

3 years ago

Read 2 more answers

Tetras cost $3.99 each. you can spend at most $25. how many tetras can you buy for your aquarium

Ne4ueva [31]

You can buy at most 6

6 0

3 years ago

The temperature at midnight was 3°. By 6am, the temperature had dropped 5°. What was the temperature at 6am?

Annette [7]

The temperature at 6am would've been -2 because 3 - 5 = -2

8 0

3 years ago

Graph the function, identify if it represents exponential growth or decay, and identify domain and range. See picture

Brrunno [24]

Answer:

a. Decay

b. 0.5

c. 4

Explanation:

If we have a function of the form

$y=ab^x$

then

a = intital amount

b = growth / decay rate factor

x = time interval

If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.

Now in our case, we have

$y=4(\frac{1}{2})^x$

Here we see that

inital amount = a = 4

b = 1/ 2 < 0, meaning the function is modeling decay

decay factor = b = 1/2

Therefore, the answers are

a. Decay

b. 0.5

c. 4

4 0

1 year ago