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3 years ago

11

Find the distance between the two points.

1 answer:

anyanavicka [17]3 years ago

3 0

Answer:

9.219544

Step-by-step explanation:

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George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),

oksian1 [2.3K]

Given:

Vertices of a triangular garden:

A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5

Find the distance between points:

d = √(x2-x1)^2 + (y2-y1)^2

dAB = 2√2
dBC = 4
dCA = 2√2

A similarly shaped garden is to be created using the scale factor, 0.5:

A' = 2√2 / 0.5 = 4√2
B' = 4 / 0.5 = 8
C' = 2√2 / 0.5 = 4√2

6 0

3 years ago

The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in th

Step2247 [10]

Answer:

$\frac{dP}{dt} \ =\ \frac{1}{5}P$

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. $P = 10\ million$ when $\frac{dP}{dt} = 2\ million$

Required

Determine the differential equation for the scenario

The variation can be represented as:

$\frac{dP}{dt} \ \alpha\ P$

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

$\frac{dP}{dt} \ =\ k * P$

$\frac{dP}{dt} \ =\ kP$

Substitute values for $\frac{dP}{dt}$ and P

$2\ million = k * 10\ million$

Make k the subject

$k = \frac{2\ million}{10\ million}$

$k = \frac{2}{10}$

$k = \frac{1}{5}$

Substitute $\frac{1}{5}$ for k in $\frac{dP}{dt} \ =\ k * P$

$\frac{dP}{dt} \ =\ \frac{1}{5}* P$

$\frac{dP}{dt} \ =\ \frac{1}{5}P$

8 0

3 years ago

Plz plz help is for my brother his in first grade

Mkey [24]

4+2 = 6 a a a a + a a = a a a a a a

2+4 = 6 a a + a a a a= a a a a a a

Tommy is correct They are both equal to 6

7 0

3 years ago

Read 2 more answers

I need help with this

timama [110]

Answer:

for the first one y=2 if x=0 and for the second one I dont know

Step-by-step explanation:

7 0

3 years ago

Enter the solutions from least to greatest. H (x)=(-4x -3)(x -3)h(x)=(−4x−3)(x−3)h, left parenthesis, x, right parenthesis, equa

olga nikolaevna [1]

Answer:

x=-3/4 X=3

Step-by-step explanation:

Trust me :)

7 0

3 years ago