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Nikolay [14]
3 years ago
6

5x^2-7x=4x^2-10 solve

Mathematics
1 answer:
Luda [366]3 years ago
5 0

Answer:

x = 0, x = - 3

Step-by-step explanation:

Given

5x² - 7x = 4x² - 10 ← subtract 4x² - 10x from both sides

x² + 3x = 0 ← in standard form

Factor out x from each term

x(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

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rodikova [14]

Answer: -4

Work: So, to get -4, we need to simplify the equation. If you see any equation with +(- that's subtraction. So, with the rule, this equation is basically 8-12, and that's -4.

7 0
3 years ago
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ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,
Leni [432]

Answer:

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.


B' =  

(-2 x .25),(1 x .25)


I did mine in fraction form, because it will prove to be more useful in future mathematics.


B' = (1/2  ,  1/4)


Repeat the process with C.


C' =

(14 x .25),(17 x .25)


C' =

(7/2  ,  17/4)




You only need to focus on B and C because you are finding the length of B'C'.


The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.


x2 -  x1 =  7/2  -  1/2  =  6/2  =  3 squared  =  9


y2 - y1 = 17/4 - 1/4 = 16/4  =  4 squared = 16


16 + 9  = 25


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Therefore, the distance is 5.


8 0
3 years ago
Maggie's brother is 3 years younger than twice her age. The sum of their ages is 12.
Lilit [14]
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3 0
3 years ago
I'm dumb.
Arlecino [84]

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2. 44*(1-\frac{1}{4})=44*\frac{3}{4}=11*3=33

4 0
3 years ago
Find the distance between the points:
lesantik [10]
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).  

To start, we find the square of the distance between x1 and x2 and y1 and y2.  The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
6 0
3 years ago
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