Ask question

Ask question

All categories

3 years ago

9

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

pendicular to Maria's line. Which of the following could be an equation for Nate's line?
a 5x-6y=15
b 5x+6y=15
c 6x-5y=15
d 6x+5y=15

1 answer:

likoan [24]3 years ago

6 0

Answer:

Option C: 6x-5y=15

Explanation:

y = -5/6x +8

8 is the <u>y-intercept</u>

-5/6x is the <u>slope</u>

when a slope is in <u>fraction form</u> the numerator is the y direction over the denominator how much the line changes in the x direction

::: (\_(\ Hope

*: (=' :') this

•.. (,('')('') helped :)

You might be interested in

Cheryl drove 4 hours at a constant rate to travel 160 miles. At what rate did she drive? A. 20 mph B. 35 mph C. 40 mph D. 72 mph

erik [133]

Answer:

40 mph

Step-by-step explanation:

you take your miles 160 and divide them by 4 which is going to be 40

5 0

3 years ago

Read 2 more answers

I'll give brainliest to whoever solves first correctly

almond37 [142]

Answer:

The answer rewritten is y=x-3+x+2-x-5=x-6

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A bakery uses 550 pounds of sugar to make 1,000 cookies. Each cookie contains the same amount of sugar. How many pounds of sugar

Sonja [21]

Answer:

do da dash in the whip fo i fu6 a nica bih

Step-by-step explanation:

8 0

3 years ago

Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$

Husband

Half life of 4 hours. So

$C(4) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{4r}$

$e^{4r} = 0.5$

Applying ln to both sides

$\ln{e^{4r}} = \ln{0.5}$

$4r = \ln{0.5}$

$r = \frac{\ln{0.5}}{4}$

$r = -0.1733$

So for the husband

$C(t) = 110e^{-0.1733t}$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.1733t}$

$C(11) = 110e^{-0.1733*11} = 16.35$

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

$C(10) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{10}$

$e^{10r} = 0.5$

Applying ln to both sides

$\ln{e^{10r}} = \ln{0.5}$

$10r = \ln{0.5}$

$r = \frac{\ln{0.5}}{10}$

$r = -0.0693$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.0693t}$

$C(11) = 110e^{-0.0693*11} = 51.33$

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0

4 years ago

How many square decimeters are in 687.1 cm²?

Alexus [3.1K]

Answer:

6.871 decimeters

Step-by-step explanation:

687.1 square centimeters = 6.871 square decimeters

1 dm² = 100 cm²

7 0

2 years ago

Read 2 more answers