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Mademuasel [1]
3 years ago
5

Factor 10y^2 -23y +12

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0
10y^2 - 23y + 12 = 10y^2 - 15y - 8y + 12 = 5y(2y - 3) - 4(2y - 3) = (5y - 4)(2y - 3)
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
FromTheMoon [43]

The statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Given the equation of circle be x^{2} +y^{2}-2x-8=0.

We are required to find the appropriate statements related to the equation x^{2} +y^{2}-2x-8=0.

x^{2} +y^{2}-2x-8=0 can be written as under:

x^{2} +y^{2} -2x+1-9=0

x^{2} +1^{2}-2x+y^{2} -9=0

(x-1)^{2}+y^{2}-9=0

(x-1)^{2} +y^{2} =9

(x-1)^{2}+y^{2}  =3^{2}

Equation of a circle usually in the form x^{2} +y^{2} =a^{2} in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Learn more about radius at brainly.com/question/24375372

#SPJ1

3 0
1 year ago
Are the these expressions equivalent 6a + 12 and 3(3a + 4)
kow [346]

Answer:

No

Step-by-step explanation:

6a + 12  =? 3(3a + 4)

Distribute

6a+12 =? 3*3a + 3*4

6a+12 =? 9a +12

No

The expressions are not equivalent

5 0
4 years ago
Read 2 more answers
When was the last time that texas tried to become its own state
Rudik [331]

Answer:

The Texas Declaration of Independence was signed in 1836 and the Texas Republic ratified its own constitution shortly after. In 1837, the U.S. formally recognized Texas as a nation, but the new country struggled economically without any of the resources of its larger neighbors, leading most (but not all) residents to welcome statehood by the time it came through in 1845. Only a little more than a decade passed, however, before the state tried to secede from its national government again, joining with the Confederacy in 1861.

Step-by-step explanation:

3 0
4 years ago
What is f. 8=8f because i dont understand it
Digiron [165]

Answer:

F=1

Step-by-step explanation:

8=8x1

4 0
3 years ago
A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p
Y_Kistochka [10]
For this case, the first thing we should do is use the following equation:
 f (x) = 200 (1.03) ^ x
 We substitute f (x) = 300:
 300 = 200 (1.03) ^ x
 We clear the value of x:
 log1.03 (300/200) = log1.03 ((1.03) ^ x)
 x = log1.03 (300/200)
 x = 13.72
 Answer: 
 the population will first reach 300 in about 13.72 years.
6 0
3 years ago
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