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3 years ago

Find the value of r (5,9) (r,7) m=-4

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

Answer:

r = 11/2

Step-by-step explanation:

m = slope

slope, m = (y2 - y1)/(x2 - x1)

-4 = (7 - 9)/(r - 5)

cross multiply

-4(r - 5) = 7 - 9

clearing brackets

-4r + 20 = -2

-4r = -22

r = 22/4 = 11/2

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Q1. Find y, if √12 - √147 + y√3 = 0

o-na [289]

Answer:

Q1. y = 5 Q2. (√2 - √3)/2

Step-by-step explanation:

√12 - √147 + y√3 = 0

Taking -√147 and √12 to the right hand side, we have

y√3 = √147 - √12

y√3 = √(3 × 49) - √(3 × 4)

y√3 = √3 × √49 - √3 × √4

y√3 = √3 × 7 - √3 × 2

y√3 = 7√3 - 2√3

y√3 = 5√3

Dividing both sides by √3, we have

y√3/√3 = 5√3/√3

y = 5

Sin45° - Cos30°

Since Sin45° = √2/2 and Cos 30° = √3/2

Substituting these values into the equation, we have

Sin45° - Cos30° = √2/2 - √3/2

Taking L.C.M of both factors, we have

Sin45° - Cos30° = (√2 - √3)/2

6 0

3 years ago

Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. after 3 hours, only 40 mg remain. find an exponential m

Anastaziya [24]

The equation will be of the form:
$A(t)= A_{0} e^{rt}$
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
$40=320e^{3r}$
Rearranging and taking natural logs of both sides, we get:
$ln\ 0.125=3r$
$r=\frac{ln\ 0.125}{3}=-0.693$
The required model is:
$A=A _{0} e^{-0.693t}$

3 0

2 years ago

Another one lol(picture)

Andreyy89

Look up the law of sines, I suggest Khan Academy. It is better if you know how to do it, it is very useful.

7 0

3 years ago

Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards

svet-max [94.6K]

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation: