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Andrej [43]
3 years ago
15

Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again





first multiply ac
4 times 5=20
now
what 2 numbers multiply to 20 and add to 12
2 and 10
4x²+2x+10x+5
group
(4x²+2x)+(10x+5)
undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
(2x+1)(2x+5) is factored form whih you have there, nice
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Complete the statement. Round to the nearest hundredth if necessary.<br><br> 6 lb = *blank* oz
skad [1K]

Answer:

3 oz

Step-by-step explanation:

You have to divide 6 by 2 and you'll get the answer.

3 0
2 years ago
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
3 years ago
Find the equation of the line.<br><br>Use exact numbers.
Taya2010 [7]

Slope intercept form: y = mx + b

m = slope

b = y-intercept

The line passes through the y-axis at the point (0, -5). So, -5 is the y-intercept.

We can use the points (0, -5) and (5, 0) to solve.

Slope formula: y2-y2/x2-x1

0-(-5)/5-0)

5/5

1

The slope is 1.

Substitute these values into the equation.

y = 1x + (-5)

y = x - 5

Therefore, the answer is [ y = x - 5 ]

Best of Luck!

6 0
3 years ago
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added toge
Anna11 [10]

Answer:

The correct answer is A.

Step-by-step explanation:

1/5*-10/1=-10/5= -2

2/3*3/1=6/3=      2

----------------------------

                          0.

3 0
3 years ago
Correct answer gets brainliest and full ratings :)
Tanzania [10]
The answer is C. (-3,3)
4 0
3 years ago
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