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2 years ago

(x=1)^2-4x=(x-1)^2 simplify and answer

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

5 0

Step-by-step explanation:

Firstly, there's a typing error at (x=1)². I assume it is (x-1)². If my assumption is correct,then:

x²-2x+1-4x=x²-2x+1

x²-6x+1-x²+2x-1=0

-4x=0

x=0

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What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?

Amiraneli [1.4K]

Answer:

$(-3, -2)$

Step-by-step explanation:

To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:

The midpoint is at $(\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2})$ . Where:

$(x_{1}, x_{2}) = (-6, 6)$

$(y_{1}, y_{2}) = (-3, 1)$

Then, the midpoint is at:

$(\frac{-6 +6 }{2}, \frac{-3+1}{2})$ = $(0, -1)$

Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:

$(x_{1}, x_{2}) = (-6, 0)$

$(y_{1}, y_{2}) = (-3, -1)$

⇒ $(\frac{-6 +0}{2}, \frac{-3-1}{2})$ = $(-3, -2)$

Therefore, the point is 1/4 of the way from A to B is: $(-3, -2)$

8 0

3 years ago

A house is valued at $118,000.00. The homeowner decides to add on a two-car garage that increased the value of the home by 15%.H

nasty-shy [4]

Answer:

The value of the house after adding the garage is $135,700.

Step-by-step explanation:

Given,

value of house before adding garage = $118,200.00

we need to find the value of house after adding two car garage.

Solution,

Since after adding two car garage the value of the house increased by 15%.

So firstly we will find out the 15% of the value of the house after adding garage.

So we can say that;

15% of the value of the house after adding garage is equal to 15 divided by 100 the multiplied with the value of the house before adding garage.

15% of the value of the house after adding garage = $\frac{15}{100}\times118,000=\$17,700$

Now, The value of the house after adding garage is equal to the sum of value of house before adding garage and 15% of value of house before adding garage.

We can frame it in equation form as;

The value of the house after adding garage = $\$118,000+\$17,000=\$135,700$

Hence The value of the house after adding the garage is $135,700.

3 0

3 years ago

find three numbers whose sum is 32 if the second is 1 more than the first and the first is 4 less than the third

Alex777 [14]

X+y+z=32
x=z-4
y=x+1
z=x+4
x+x+1+x+4=32
3x+5=32
3x=27
x=9
y=10
z=13

Hope this helps :)

7 0

3 years ago

A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches long

igor_vitrenko [27]

The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3. I hope you find this helpful (if correct.)

6 0

3 years ago

Im kinda confused on this. i need help.

RideAnS [48]

Given :-

A graph is given to us .

To Find :-

The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

$\sf\longrightarrow$ y intercept = 5 .

$\sf\longrightarrow$ slope = 5/2 .

Now here we can use the slope intercept form as ,

$\sf\longrightarrow$ y = mx + c

$\sf\longrightarrow$ y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

4 0

2 years ago

Read 2 more answers