What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

Answer:

y = 9

Step-by-step explanation:

The line x = -7 is a vertical line, so the perpendicular line will be horizontal.

Horizontal lines have a slope of 0.

Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation

y = mx + b

9 = 0(4) + b

9 = b

Plug this and the slope into the equation:

y = mx + b

y = 0x + b

y = 9

So, y = 9 is the equation

Answer: x = 132 daw

Step-by-step explanation: believe me

Answer:

letter D

Step-by-step explanation:

2

x

2

−

5

x

−

12

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

2

⋅

−

12

=

−

24

and,

N

1

+

N

2

=

b

=

−

5

After trying out a few numbers we get:

N

1

=

−

8

and

N

2

=

3

3

⋅

(

−

8

)

=

−

24

, and

3

+

(

−

8

)

=

−

5

2

x

2

−

5

x

−

12

=

2

x

2

−

8

x

+

3

x

−

12

=

2

x

(

x

−

4

)

+

3

(

x

−

4

)

(

x

−

4

)

is a common factor to each of the terms

=

(

2

x

+

3

)

(

x

−

4

)

Answer:

a see below for explanation

Step-by-step explanation:

2x^2 + 8x - 3x - 12

2x^2 +5x - 12

Given:

The figure of a triangular prism.

To find:

The surface area of the triangular prism.

Solution:

We know that, a triangular prism contains 2 congruent triangular surface and 3 rectangular surface.

Triangles have base 3 ft and height 2 ft.

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_1=\dfrac{1}{2}\times (3)\times (2)[/tex]

[tex]A_1=3[/tex]

Area of congruent triangles are congruent. So,

[tex]A_1=A_2=3\text{ sq. units}[/tex]

Now the three rectangular surface have dimensions 10 by 3, 10 by 3 and 10 by 3 because the triangles are equilateral and the length of the prism is 10 ft.

Area of a rectangle is

[tex]Area=Length\times width[/tex]

[tex]A_3=10\times 3[/tex]

[tex]A_3=30[/tex]

Dimensions of all three rectangles are same, therefore there areas are equal.

[tex]A_3=A_4=A_5=30[/tex]

Now, the total surface area of the prism is

[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]

[tex]A=3+3+30+30+30[/tex]

[tex]A=96[/tex]

Therefore, the total surface area of the prism is 96 sq. ft.

Answer:

ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm

Step-by-step explanation:

good day

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

⇒1875 = 50 × Height

⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

Answer:

The answer is 56 cm^3

Step-by-step explanation:

2 = height

7 = length

4 = width

Formula: LxWxH

2 x 7  x 4 = 56

Answer:

x = 4√3, or approximately 6.93

Step-by-step explanation:

This is a right triangle with hypotenuse 13 and side lengths x and 11.  According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or

x^2 + 121 = 169, or

x^2 = 48.

x must be a positive quantity.  Thus, x = +√48 = + √3·√16 = +4√3

Thus, x = 4√3, or approximately 6.93

Answer:

height of b = 280

Step-by-step explanation:

candle b has a height of 280 - 5t, when it comes out of the mold then t=0 so the initial height of b is 280

candle b's height drops by 5 every hour (that's what the -5t part means)

candle a started at 216 and dropped to 192 in 3 hours, so it dropped by 24 in 3 hours so it drops 8 each hour

so candle b starts out taller (280 v. 216) and candle b burns slower (a at 8 per hour and b at 5 per hour), so b will never 'catch up' with a... candle a will be burned out while candle b is still burning

Answer:

g(h(n)) = 4n² + 12n

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

g(n) = 4n

h(n) = n² + 3n

g(h(n)) is n = h(n)

Step 2: Find

Answer:

0.00975 m^3 each

Step-by-step explanation:

rs 84000 / rs 13 = 6461.539 bricks

63 m^3 / 6461.539 = 0.00975 m^3 each

Answer:

500.61

Step-by-step explanation:

5 multiplied by 100 = 500

1/10 = 0.1, So 6 multiplied by 0.1 = 0.6

1/100 = 0.01, So 1 multiplied by 1 = 0.01

500 + 0.6 + 0.01 = 500.61

[tex](5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )[/tex]

[tex]5 \times 100 = 500[/tex]

[tex] \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60[/tex]

[tex] \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07[/tex]

[tex]500 + 0.60 + 0.07 = 500.67[/tex]

Answer:

Base of 5mm, Height of 6mm, Width of 7mm214mm^2

Base of 4mm, Height of 4mm, Width of 10mm192mm^2

Base of 5mm, Height of 6mm, Width of 7mm214mm^2

Base of 6mm, Height of 3mm, Width of 2mm72mm^2

7mmLittle over 1/4 Inch0.27559 Inches

The total surface area is 124 square millimeters.

To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.

The total surface area of a Prism = (2 × Base Area) + (Base perimeter × Length).

Here, area of base is Area=2(Base×Height)

= 2(6×4)

= 12 square millimeters

Now, Base perimeter × Length= (5+5+6)×7

= 16×7

= 112 square millimeters

Total area = 12+112

= 124 square millimeters

Therefore, the total surface area is 124 square millimeters.

To learn more about the surface area of a prism visit:

https://brainly.com/question/28016184.

#SPJ2

Answer:

Mode of the given frequency is 6 as it is occurring frequently

3 plus tax

Step-by-step explanation:

Answer:

Less than 4 I guess??

This part I have scribbled so I can answer

no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh

Answer:

D

Step-by-step explanation:

Answer:

725 x0.05=36.25

Step-by-step explanation:

when finding percentage move the decimal over two places, making 5 0.05

Answer:

16

Step-by-step explanation:

180 is a straight line.

x is among that line so you must subtract the angles you know from 180.

180-54-38= 16

Answer:

En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Recall that, in order to find the area of a parallelogram is to multiply height by base, and the height is 14, and the base is 5, so 14 x 5 = 70.

Answer:

1679616

Step-by-step explanation:

6*6

36*36*36*36

Answer:

[tex]6^{8}[/tex]

Step-by-step explanation:

[tex](6^{2})^{4} = 6^{2*4} = 6^{8}[/tex]

Answer:

x^2-3x+36

Step-by-step explanation:

Answer:

5/9

5 to 9

5:9

hope this helps <3

Answer:

5/9,

5:9,

and 5 to 9

Step-by-step explanation:

angle 2 = 49

angle 1 = 131

angle 3 = 112

plz mark my answer as brainlist.hope this will be helpful to you ☺️.

8 square feet will be needed. 3x2= 6 + 2x1= 2= 8 square feet