All categories

3 years ago

Need help with this. A B C D

Mathematics

1 answer:

patriot [66]3 years ago

8 0

Answer:

yes, it is a right triangle and ∡Q is the right angle

Step-by-step explanation:

if the slope of QR is the opposite reciprocal of QS then the two segments are perpendicular and form a 90° angle

slope of QR: -3 - (-1) ÷ 2 - 0 = -2 ÷ 2 = -1

slope of QS: -3 - (-1) ÷ 2 - 4 = -2 ÷ -2 = 1

-1 and 1 are opposite and reciprocal so m∡Q = 90°

You might be interested in

stion 1 OT 5A researcher recorded the number of swans and the number of ducks in a lake every month. Function s represents the n

Anon25 [30]

Given functions are

$s(n)=2(1.1)^n+5_{}$ $d(n)=4(1.08)^n+3$

The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).

$t(n)=s(n)+d(n)$

$t(n)=(2(1.1)^n^{}+5)+(4(1.08)^n+3)$

$t(n)=2(1.1)^n+5+4(1.08)^n+3$

$t(n)=2(1.1)^n+4(1.08)^n+5+3$

$t(n)=2(1.1)^n+4(1.08)^n+8$

Taking 2 as common, we get

$t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack$

Hence The total number of ducks and swans in the lake after n months is

$t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack$

8 0

1 year ago

Is a measure of 25 inches "far away" from a mean of 16 inches? As someone with knowledge of statistics, you answer "it depen

erik [133]

Answer:

a) 25 is 3 standard deviation from the mean

b) Is far away from the mean, only 0,3 % away from the right tail

c) 25 is pretty close to the mean (just a little farther from 1 standard deviation)

Step-by-step explanation:

We have a Normal Distribution with mean 16 in.

Case a) we also have a standard deviation of 3 inches

3* 3 = 9

16 (the mean) plus 3*σ equal 25 in. the evaluated value, then the value is 3 standard deviation from the mean

Case b) 25 is in the range of 99,7 % of all value, we can say that value is far away from the mean, considering that is only 0,3 % away from the right tail

Case c) If the standard deviation is 7 then

mean + 1*σ = 16 + 7 =23

25> 23

25 is pretty close to the mean only something more than 1 standard deviation

4 0

3 years ago

Solve for the value of x:-<br> <img src="https://tex.z-dn.net/?f=4x-5%20%3D%203" id="TexFormula1" title="4x-5 = 3" alt="4x-5 = 3

enot [183]

$4x-5 = 3$

$4x = 8$

$x = 8÷4$

$x = 2$

5 0

2 years ago

Read 2 more answers

What is the value of this equation

pickupchik [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation is :

$e^{3x+6} =8$

taking log on both side

$lne^{3x+6}=ln8$

$(3x+6)lne=ln8$

Plugging the value of ln e as 1

$3x+6=ln8$

Subtracting 6 in both sides

$3x+6-6=ln8-6$

$3x=ln8-6$

Dividing 3 in both sides

$x=\frac{ln8-6}{3}$ ........................ Answer

Hope it will help :)

8 0

3 years ago

What is the slope of the line that contains the points (4, –1) and (–1, 4)?

BaLLatris [955]

I believe the correct answer is B. -5

4 0

3 years ago

Read 2 more answers