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3 years ago

Is there another way to write JK? Why or why not?

Mathematics

2 answers:

OleMash [197]3 years ago

5 0

Answer:

Just Kidding

Step-by-step explanation:

daser333 [38]3 years ago

4 0

Answer:

What do u mean

. I'm confused

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What is the vertex of the quadratic function y=-x²+6x+7?

vichka [17]

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

6 0

3 years ago

PLEASE HELP ASAP!!!!

Harlamova29_29 [7]

Answer:

D. $y=\frac{1}{4}x$

Step-by-step explanation:

3 0

3 years ago

Please help me!!!!!!!!!!!!!

monitta

Answer: see proof below

<u>Step-by-step explanation:</u>

Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)

cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = $\frac{\sqrt2}{2}$

<u>Proof LHS → RHS</u>

Given: $cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o$

Rewrite Fraction: $cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o$

Half-Angle Identity: $\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}$

Substitute: $\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}$

Simplify: $\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}$

$=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}$

$=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)$

$=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}$

$=\dfrac{4}{2}$

= 2

LHS = RHS: 2 = 2 $\checkmark$

7 0

4 years ago

Circle A has a Circumference of approximately 314.159 feet. Circle B has a diameter that is half the size of Circle A. Which is

Kaylis [27]

The diameter of circle B is 50 cm.

Step-by-step explanation:

Given,

The circumference of circle A = 314.159 ft

Diameter of Circle B is half of the diameter of circle A.

Let, the radius of circle A is r

To find the diameter of circle B

Formula

Circumference of a circle of radius r = 2πr

According to the problem,

2πr = 314.159

or, r = $\frac{314.159}{2X3.14}$

= 50 (approx)

So,

The diameter of circle A = 2×50 cm = 100 cm

The diameter of circle B = 50 cm.

4 0

3 years ago

A magnitude 6.7 earthquake struck the SanFernando valley region of Los Angeles in 1994, causing widespread damage. Suppose anoth

madam [21]

Answer: 2.308 .

Step-by-step explanation:

Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.

Given: $\mu=17.6$

Probability is 0.87 that there will be at least 15 earthquakes .

i.e. $P(X\geq15)=0.87$

$\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\ \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}]$

Z-value corresponding to p-value 0.87 is -1.1263 .

So, $\dfrac{-2.6}{\sigma}=-1.1263$

$\sigma= \dfrac{-2.6}{-1.1263}\approx2.308$

Hence, the required standard deviation = 2.308 .

4 0

3 years ago