Given that triangle ABC is congruent to triangle DEF find x and y

X^2=1 has two solutions. If the equation is changed to 4x^2=1 which operation find the solutions of the new equation?

snow_lady [41]

Answer:

X = -1/2 or 1/2

Step-by-step explanation:

When the square root of a number is found, this usually results in 2 solutions which may be equal in size but opposite in signs.

As such,

X^2=1 to find x find the root of both sides

X = √1

X = -1 or 1

Going by this

4x^2=1

Divide both sides by 4

X^2=1 /4

taking the square root of both sides

X = √1/4

The root of 1 is -1 or 1 while that of 4 is -2 or 2 hence,

X = -1/2 or 1/2

3 0

3 years ago

Please help me out please

olganol [36]

if your teacher allows the pi symbol then your answer is 2513. if your teacher requires you to use 3.14 for pi then your answer is 2512. basically you use the Pythagorean theorem to find the height, and then plug the height (24) and the radius which is half the diameter (10) into the equation to find the volume of the cone. if you have any other questions about it please ask! hope this helps:)

4 0

3 years ago

Graph A represents the function f(x) = root(3, x). Graph B and graph C transformations of graph A. The function represented by g

ch4aika [34]

Answer:

g(x) = root(3, x-1)
h(x) = root(3, x) -1

Step-by-step explanation:

The graph of f(x) is translated (right, up) = (h, k) to ...

g(x) = f(x -h) +k

___

Graph B is translated right 1 unit, so its function is ...

g(x) = f(x -1) = root(3, x-1)

__

Graph C is translated down 1 unit, so its function is ...

h(x) = f(x) -1 = root(3, x) -1

4 0

3 years ago

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps

spayn [35]

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

Solution:

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

The above sentence can be written mathematically as:

$\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}$

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

$\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}$

Cancelling the common terms in numerator and denominator,

$\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}$

Multiplying terms in numerator and denominator,

$\rightarrow \frac{-12}{-40}$

Negative sign in numerator and denominator cancels each other

$\rightarrow \frac{-12}{-40} = \frac{12}{40}$

Reducing to lowest terms we get,

$\rightarrow \frac{12}{40} = \frac{3}{10}$

In decimal form we get,

$\rightarrow \frac{3}{10} = 0.3$

Thus solution to given expression is 0.3

8 0

3 years ago

The price p, in dollars, of a specific ca that is x year old is modeled by the function p(x)=22,255(0.91)^x

uysha [10]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x

a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore

p(2)=22,255(0.91)^2

p(2)=22,255 × 0.8281 = $18673.655

Approximately $18674

b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore

p(7)=22,255(0.91)^7

p(2)=22,255 × 0.51676101936 = 11500.51648579693

Approximately $11501

c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)

7 0

3 years ago