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3 years ago

3y^2-16y-12 factor by grouping

1 answer:

5 0

(y - 6)(3y + 2)

Take the y^2 coefficient 3 and multiply the constant by it, to get y^2 - 16y - 36

Find two numbers that multiply to 36 and add to -16, which are -18 and 2. Use these numbers as the second term in the polynomial, to get (y - 18)(y + 2).

Divide the numbers by the original coefficient
3, and if there’s a fraction, move the denominator to the coefficient of the variable.

(y - 18/3)(y + 2/3) —> (y - 6)(3y + 2)

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a fireplace contains 46 bricks along its bottom row. if each row above decreases by 4 bricks, what is the function that shows th

m_a_m_a [10]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=46\\
d=-4\\
n=12
\end{cases}
\\\\\\
a_{12}=46+(12-1)(-4)$

4 0

2 years ago

Read 2 more answers

Graph ARST with vertices R(6, 6), S(3, -6), and T(0, 3) and its image after a

padilas [110]

Answer:

The answer is the second figure and the vertices of Δ R'S'T' are:

R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

- Now we can solve the problem

∵ R = (6 , 6) , S = (3 , -6) , T = (0 , 3), they are the vertices of ΔRST

- The triangle RST is reflected over the y-axis

- According to the rule above the signs of x-coordinates will change

∵ R = (6 , 6)

∴ Its image is (-6 , 6)

∵ S = (3 , -6)

∴ Its image is (-3 , -6)

∵ T = (0 , 3)

∴ Its image is (0 , 3)

* Now lets look to the figure to find the correct answers

- The image of Δ RST is ΔR'S'T'

∵ The vertices of the image of ΔRST are:

R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

* The answer is the second figure

7 0

3 years ago

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?

Kryger [21]

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

8 0

3 years ago

Tangent line i think please help me find x

Alex

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm

6 0

3 years ago

Pls help will give brainliest and 5star plss help

Ugo [173]

Answer:

14. 2384 in²

15. 291.8 in²

Step-by-step explanation:

14. The total surface area consists of the area of two equal triangles and three rectangles.

The area of each triangle is $\frac{1}{2} bh$ , which is $\frac{1}{2}(24)(14)=168 in²$ . The area of both triangles combined is 336 in².

The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².

The area of the base rectangle is 14x32=448 in².

Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².

15. The equation for the surface area of a cylinder is $2\pi r^{2} +2\pi rh$ .

The radius (r) is 4.6 in and the height (h) is 9.1 in.

Therefore, the surface area is:

$2\pi (4.6)+2\pi (4.6)(9.1)=28.888+262.88=291.8\\$ in²

5 0

2 years ago