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2 years ago

Find the coordinates of the point 7/10 of the way from A to B A=(-4,-7) B=(12,5)p

Mathematics

1 answer:

mars1129 [50]2 years ago

4 0

Answer:

a=(-3,-6) and b=(12,4)

from -3 to 12 is 15 units

7/10 * 15=10.5

add 10.5 to -3 to get 7.5 for the x-coordinate

from -6 to 4 is 10 units

7/10 * 10=7

add 7 to -6 to get 1 for the y-coordinate

the point 7/10 of the way from a to b is (7.5,1) ANSWER

graph these points to check your answer (the point (7.5,1) is on the line segment AB))

also, the distance from a to b is 18.0277

7/10 of this is 12.62

the distance from (-3,-6) to (7.5,1) is also 12.62

Step-by-step explanation:

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Natalija [7]

Answer:

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Step-by-step explanation:

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Add 9 on both sides

$e^{lnx^2}=9$

To remove base 'e' we take ln on both sides

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$lnx^2=ln(9)$

Both sides have ln , so we make the terms equal

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3 years ago

-b+10a-5 in standard form

ludmilkaskok [199]

Answer:

10a-b-5

Step-by-step explanation:

-b+10a-5 in standard form

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2 years ago

3. A toy car is traveling with a velocity of 4 m/s and has a mass of 1120g. What is the car's

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2 years ago

A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m

Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

$p(m)=19.3(1089)^m$

Most recently, the scientist counted 138 plants.

$138=19.3(1089)^m\\(1089)^m=7.15$

Taking log both sides of the equation,

$\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1$

Thus, with no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

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1 year ago

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s

Llana [10]

First, we need to work out the total number of students who were being surveyed.

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

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The probability distribution is shown in the table below. Let $x$ be the number of pets and $P(X=x)$ is the probability of owning the number of pets

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3 years ago

Read 2 more answers