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4 years ago

Please help will give thanks

Mathematics

1 answer:

7nadin3 [17]4 years ago

6 0

The value of CD = 12.687

Step-by-step explanation:

From the triangle ABC,

$AC^{2}= AB^{2}+ BC^{2}$ ( by using Pythagoras theorem)

or, $BC^{2}= AC^{2} - AB^{2}$

or, $BC^{2}$ = 144 - 36 = 108

BC = $\sqrt{108}$ = 6 $\sqrt{3}$

Now,

$\frac{BC}{CD}$ = sin 55

or, CD = BC / sin 55

= 6 $\sqrt{3}$ / sin 55

=12.687

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How did the transformation of ()=f of , open x close . equals , x squared to ()=−g of , open x close . equals , x squared , minu

Nikolay [14]

The intercepts are the points where the graph crosses the x or y-axis

The x-intercepts changed from 0 to $\±\sqrt 3$ .
The y-intercepts changed from 0 to 3

The functions are given as:

$f(x) = x^2$

$g(x) = x^2 - 3$

Function f(x)

$f(x) = x^2$

The x-intercept is calculated as follows:

Set f(x) to 0

$x^2 = 0$

Solve for x

$x = 0$

The y-intercept is calculated as follows:

Set x to 0

$f(0) = 0^2$

$f(0) = 0$

Hence, the intercepts are 0

Function g(x)

$g(x) = x^2 - 3$

The x-intercept is calculated as follows:

Set g(x) to 0

$x^2 - 3 = 0$

Solve for x

$x^2 = 3$

$x = \±\sqrt 3$

The y-intercept is calculated as follows:

Set x to 0

$g(x) = x^2 - 3$

$g(0) = 0^2 - 3$

$g(0) = - 3$

The x-intercepts are $\±\sqrt 3$ , while the y-intercept is -3

By comparing the intercepts of f(x) and g(x),

The x-intercepts changed from 0 to $\±\sqrt 3$ .
The y-intercepts changed from 0 to 3

Read more about intercepts at:

brainly.com/question/3334417

5 0

2 years ago

What is the value of c in the following equation: 29.4 + c = 62

baherus [9]

Answer:

D) 32.6

Step-by-step explanation:

This question is asked to find the value of "c", a variable.

We can rewrite the equation like this: 62 = 29.4 + c.

So, something + 29.4 = 62.

62 - 29.4 = 32.6.

Hope this helps!

6 0

3 years ago

Melinda and her husband are purchasing a home. The cost of the home is $135,500. They will be required to pay a down payment of

Daniel [21]

Answer:

$37,940

Step-by-step explanation:

1. Divide $135,500 by 25%= $33,875

2. Divide $135,500 by 3%= $4065

3. Add both quotients

$33,875 + $4065

= $37940

Melinda and her husband will need $37,940 for the down payment and closing cost.

3 0

3 years ago

The average of 4 numbers is 98. If 3 of the numbers are 86, 87, and 91, what is the 4th number?

astraxan [27]

Average of 4 numbers, if the numbers are x,y,z,t then the average is (x+y+z+t)/4=average so

average=98
if 3 of the numbers are 86, 87 and 91 then what is the fourth number
assign
x=86
y=87
z=unknown
91=t

(86+87+z+91)/4=98
do parenthasees first
(264+z)/4=98
multiply both sides by 4 to get rid of fraciton
264+z=392
subtract 264 from both sides
z=128

the fourth number=128

6 0

3 years ago

(x+21) + (2x+9)=90 I need help for my geometry game

Digiron [165]

Im not sure but...
(x+21) + (2x+9)=90
x+21+2x+9 = 90
3x+30 = 90
3x = 60
x = 20

3 0

4 years ago