I’m not sure which answer it is !??

What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio

djverab [1.8K]

Answer:

$(\frac{37}{11},\frac{77}{11} )$

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

$(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )$

where $(x1,y1),(x2,y2)$ are the inital and final points.

$(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)$

also m:n=6:5 ,

by substituting all the values we get,

$(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )$

$(\frac{37}{11},\frac{77}{11} )$

5 0

3 years ago

WILL GIVE BRAINLIEST!!!

Nostrana [21]

Answer:

J

Step-by-step explanation:

Mn=PQ

SAS requires 2 sides and you need to know that they are congruent

4 0

3 years ago

Tiffany used 2/5 kg of cherries to bake pies Linda used 1/10 kg of cherries to bake Tarts how many kilograms of cherries did the

kari74 [83]

1/2 Kg of Cherries

Give both 2/5 and 1/10 a common denominator- 10
4/10 + 1/10 = 5/10 = 1/2

6 0

3 years ago

Urpi wants to buy towels online. There are two stores with the kind of towel she wants. The first store charges $20 per towel, a

Kamila [148]

Answer:

1 A the first store.

2. B The second store.

Step-by-step explanation:

1. The store with the dearest towel is The First one ( $20 compared with $18).

2. The equation for the cost in the first store is P = 20n + 25.

The cost in the second store is given by P = 18n + 35.

For 15 towels first store charges:

20 * 15 + 25 = $325.

Second store charges:

18 * 15 + 35 = $305.

4 0

3 years ago

Read 2 more answers

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

atroni [7]

Answer: $y=Ce^(^3^t^{^9}^)$

Step-by-step explanation:

Beginning with the first differential equation:

$\frac{dy}{dt} =27t^8y$

This differential equation is denoted as a separable differential equation due to us having the ability to separate the variables. Divide both sides by 'y' to get:

$\frac{1}{y} \frac{dy}{dt} =27t^8$

Multiply both sides by 'dt' to get:

$\frac{1}{y}dy =27t^8dt$

Integrate both sides. Both sides will produce an integration constant, but I will merge them together into a single integration constant on the right side:

$\int\limits {\frac{1}{y} } \, dy=\int\limits {27t^8} \, dt$

$ln(y)=27(\frac{1}{9} t^9)+C$

$ln(y)=3t^9+C$

We want to cancel the natural log in order to isolate our function 'y'. We can do this by using 'e' since it is the inverse of the natural log:

$e^l^n^(^y^)=e^(^3^t^{^9} ^+^C^)$

$y=e^(^3^t^{^9} ^+^C^)$

We can take out the 'C' of the exponential using a rule of exponents. Addition in an exponent can be broken up into a product of their bases:

$y=e^(^3^t^{^9}^)e^C$

The term e^C is just another constant, so with impunity, I can absorb everything into a single constant:

$y=Ce^(^3^t^{^9}^)$

To check the answer by differentiation, you require the chain rule. Differentiating an exponential gives back the exponential, but you must multiply by the derivative of the inside. We get:

$\frac{d}{dx} (y)=\frac{d}{dx}(Ce^(^3^t^{^9}^))$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*\frac{d}{dx}(3t^9)$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*27t^8$

Now check if the derivative equals the right side of the original differential equation:

$(Ce^(^3^t^{^9}^))*27t^8=27t^8*y(t)$

$Ce^(^3^t^{^9}^)*27t^8=27t^8*Ce^(^3^t^{^9}^)$

QED

I unfortunately do not have enough room for your second question. It is the exact same type of differential equation as the one solved above. The only difference is the fractional exponent, which would make the problem slightly more involved. If you ask your second question again on a different problem, I'd be glad to help you solve it.

7 0

2 years ago