Fact families 5 15 3

HELP ME RN PLEASEEEE [WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]

VMariaS [17]

Answer:

$\boxed {\boxed {\sf d= \sqrt{34}}}$

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

x₁= -2
y₁= -1
x₂= 3
y₂= 2

Substitute the values into the formula.

$d= \sqrt {(-2-3)^2+(2--1)^2$

Solve the parentheses.

-2 -3 = -5
2--1 = 2+ 1 = 3

$d= \sqrt{(-5)^2+(3)^2$

Solve the exponents.

(-5)²= -5*-5= 25
(3)²= 3*3=9

$d= \sqrt{25+9}$

Add.

$d= \sqrt{34}$

This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.

6 0

2 years ago

Read 2 more answers

550 is 5% of what number? Which statements are correct? Check all that apply. The answer will be smaller than 550. The answer wi

OLga [1]

Answer:

the answer is b,c,d,e

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i

bixtya [17]

Answer:

length of the curve = 8

Step-by-step explanation:

Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

−π ≤ t ≤ π

Given data the arrow the direction in which the curve is traces means

the length of the curve of the given parametric equations.

The formula of length of the curve is

$\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx$

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1) with respective to 'x'

$\frac{dx}{dt} = 1+cost$

differentiating equation (2) with respective to 'y'

$\frac{dy}{dt} = -sint$

The length of curve is

$\int\limits^\pi_\pi {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt$

$\int\limits^\pi_\pi \, {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt$

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

$\int\limits^\pi_\pi \, {\sqrt{(2+2cost } } \, dt$

$\sqrt{2} \int\limits^\pi_\pi \, {\sqrt{(1+1cost } } \, dt$

again using formula, 1+cost = 2cos^2(t/2)

$\sqrt{2} \int\limits^\pi _\pi {\sqrt{2cos^2\frac{t}{2} } } \, dt$

Taking common $\sqrt{2}$ we get ,

$\sqrt{2}\sqrt{2} \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt$

$2(\int\limits^\pi _\pi {cos\frac{t}{2} } \, dt$

$2(\frac{sin(\frac{t}{2} }{\frac{t}{2} } )^{\pi } _{-\pi }$

length of curve = $4(sin(\frac{\pi }{2} )- sin(\frac{-\pi }{2} ))$

length of the curve is = 4(1+1) = 8

conclusion:-

The arrow of the direction or the length of curve = 8

7 0

3 years ago

Find the distance between the points (4,5) and (10, – 3). Round decimals to the nearest tenth

Ilia_Sergeevich [38]

Answer:

10 is the distance.

3 0

3 years ago

Cheryl is planting a row of flowers 10ft. Long in her garden.If she plants a flower every 1/3ft. How many flowers can she plant?

Ivanshal [37]

1/3 = 0.33
10 ÷ 0.33 = 30.30
she could plant 30 flowers.
(you can't have .3 of a plant so you get rid of the decimal)

8 0

3 years ago