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Inessa05 [86]
3 years ago
8

3. Multiply the following binomials: (2 Points) (x - 3) (6x - 2) What’s is the answer?

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

3x^2-10x+3

Step-by-step explanation:

1. multiply each number

2. simplify

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4. Find the lateral area and surface area of the given prism.
scoundrel [369]

Answer:

<h2>Q4. S.A. = 752.28 m²</h2><h2>Q11. V = 384 ft³</h2>

Step-by-step explanation:

\bold{Q4}\\\text{We have}\\\text{two right triangles with legs a = 4m and b = 7m}\\\text{three rectangles}\ 7m\ \times 38m,\ 8.06m\ \times\ 38m\ \text{and}\ 4m\ \times\ 38m\\\\\text{The formula of an area of a right triangle:}\\\\A=\dfrac{ab}{2}\\\\\text{substitute:}\\\\A_1=\dfrac{(4)(7)}{2}=\dfrac{28}{2}=14\ m^2\\\\\text{The formula of an area of a rectangle}\ l\ \times w:\\\\A=lw\\\\\text{substitute:}\\\\A_2=(7)(38)=266\ m^2\\A_3=(8.06)(38)=306.28\ m^2\\A_4=(4)(38)=152\ m^2\\\\\text{The Surface Area:}

S.A.=2A_1+A_2+A_3+A_4\\\\S.A.=2(14)+266+306.28+152=752.28\ m^2

\bold{Q11}\\(look\ at\ the\ picture)\\\\\text{The formula of a volume of a pyramid:}\\\\V=\dfrac{1}{3}BH\\\\B-\text{area of a base}\\H-\text{height}\\\\\text{In the base we have the square. The formula of an area of a square with side a:}\\\\A=a^2\\\\\text{We have}\ a=12ft.\ \text{Substitute:}\\\\B=12^2=144\ ft^2\\\\\text{For}\ H\ \text{we need use the Pythagorean theorem:}\\\\H^2+6^2=10^2\\\\H^2+36=100\qquad\text{subtract 36 from both sides}\\\\H^2=64\to H=\sqrt{64}\\\\H=8\ m

\text{Substitute:}\\\\V=\dfrac{1}{3}(144)(8)=(48)(8)=384\ ft^3

5 0
3 years ago
The height of Liliana's picture frame is 18 inches. The frame and blue matting take up 4.5 inches of the height. Liliana wants t
monitta
<span>p+4.5=18 Subtract 4.5 from both sides. The answer is 13.5 inches.</span>
7 0
3 years ago
Read 2 more answers
Find the coordinates of the midpoint of (x,y) for A(9,1) and B(3,7)
tekilochka [14]

9514 1404 393

Answer:

  (6, 4)

Step-by-step explanation:

The midpoint is found as the average of the coordinates of the end points.

  M = (A +B)/2

  M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2

  M = (6, 4)

The midpoint of segment AB is (x, y) = (6, 4).

5 0
3 years ago
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordi
lianna [129]

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the <u>origin</u>.

Part B: The coordinate. Part B the coordinates of the origin are <u>(0,0)</u>.

3 0
3 years ago
Write the cosine ratio of angle b<br> and show work please
Dennis_Churaev [7]
The formula for cosine is adj/hyp. For angle B, 10 is the adjacent and 24 is the opposite. The hypotenuse ( in this case, 26) is the longest side. the ratio for angle b would be 10/26.

7 0
3 years ago
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