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3 years ago

Please help me thank u

Mathematics

1 answer:

finlep [7]3 years ago

3 0

It would be A=18 because of the equation a^2+b^2=c^2.

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Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

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

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

5 0

2 years ago

I need help on #4 I do not know how to do it.

mr Goodwill [35]

25 is the answer to question 4 traveld by a passenger in one full rotation

3 0

3 years ago

What is 21 divide by 21

user100 [1]

Answer:

it is 1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A car is traveling at a speed of 72 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers w

Kryger [21]

Answer:

1.2 kilometers per minute; 6 kilometers in 5 minutes

Step-by-step explanation:

To find the KM per minute, divide the speed per hour (72) by 60 (minutes in one hour)

72/60 = 1.2 KM per minute

To find the KM for 5 minutes, multiply the KM per minute (1.2) times 5 minutes: 1.2*5 = 6 KM

8 0

3 years ago

The weights of Sarus crane chicks and hooded crane chicks H (both in grams) during the 10 days following hatching can be modeled

Katarina [22]

Answer:

35.875 grams

Step-by-step explanation:

Given

<u>Functions:</u>

S(t) = –0.122t³ + 3.49t² – 14.6t + 136
H(t) = –0.115t³ + 3.71t² – 20.6t + 124

<u>Finding the difference between S(5) and H(5)</u>

S(5) - H(5) =
–0.122t³ + 3.49t² – 14.6t + 136 - (–0.115t³ + 3.71t² – 20.6t + 124) =
(-0.122 + 0.115)*5³ + (3.49 -3.7)*5² - (14.6 -20.6)*5 + 136 - 124 = 35.875

Answer is 35.875 grams

6 0

3 years ago