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3 years ago

Find the distance between the points given. (-1, -1) and (1, 3) √5 √(17) 2√5

Mathematics

1 answer:

Pani-rosa [81]3 years ago

5 0

Answer:

2√5

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √[1 - (-1)]² + [3 - (-1)]

= √(2)² + (4)²

= √(4) + (16)

= √20

= 2√5

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FINAL EXAM PLEASSE HELP

krok68 [10]

f(3) = -4 as 3 lies between 2 and 5

3 0

2 years ago

A cup of coffee cost $2.75. If the total cost is $16.50, then how many cups of coffee were purchased? Choose the correct equatio

Colt1911 [192]

Answer:

Step-by-step explanation:

16.50=2.75x

4 0

3 years ago

WHO CAN solve it Please !

Mariulka [41]

Answer:

a) True

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0$

Step-by-step explanation:

Step(i):-

Given that the definite integration

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha$

we know that the trigonometric formula

sin²∝+cos²∝ = 1

cos²∝ = 1-sin²∝

step(ii):-

Now the integration

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha$

= $\int\limits^\pi _0 {cos\alpha } \, dx$

Now, Integrating

$= ( sin\alpha )_{0} ^{\pi }$

= sin π - sin 0

= 0-0

= 0

Final answer:-

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0$

5 0

3 years ago

Evaluating expressions: 1. x + 9 when x = 3

balu736 [363]

⇨ The numeric value of this expression = 12.

To solve this expression, just replace 'x' by the indicated value, being the number 3, and perform the indicated math operations.

${\large \displaystyle \sf {1 \cdot x+9 }}$

${\large \displaystyle \sf {x=3 }}$

${\large \displaystyle \sf {1 \cdot 3+9 }}$

${\large \displaystyle \sf { 3+9 }}$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \ 12 \ }}}}}}\\\\$

Therefore, we can conclude that, the correct value of this expression = 12.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \ 12 \ }}}}}}\\\\$

<h3>Hope this helps! ❤️</h3>

4 0

2 years ago

Divide £24 in ratio 3:5

Nadya [2.5K]

When i divide into ratio, i like to think of them as units:

so 24 will be divided into units, where the first thing gets 3 units and the second 5 units. In total those are 3+5=8 units.

so each unit will have 24/8=4

so the division into the two numbers is like this: the first one gets 3 units (3*4=12) and the second 5 (5*4=20)
so it's 12:20.

4 0

3 years ago