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2 years ago

BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!

Mathematics

1 answer:

charle [14.2K]2 years ago

7 0

Answer:

x+2

Step-by-step explanation:

x^3+6x^2+11x+6/x^2+4x+3

= x^3+6x^2+11x+6/x^2+4x+3

= (x+1)(x+2)(x+3)/(x+1)(x+3)

=x+2

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The number s is one third the number t. Which number sentence shows the relationship between s and t?

Mashcka [7]

S= 1/3t (T is one third of s)

8 0

3 years ago

The function f is given in three equivalent forms. Which form most quickly reveals the vertex? A.f(x)=3(x+6)2−75 B.f(x)=3(x+1)(x

mrs_skeptik [129]

Answer:

A. f(x)=3(x+6)^2-75

vertex form is (-6,-75)

Step-by-step explanation:

Khan Academy Quiz #5

7 0

2 years ago

Read 2 more answers

7x-3y=-7 slope of line perpendicular

kap26 [50]

Answer: -3/7

Step-by-step explanation:

The first step is to find the slope of the line

y = mx + c where m is the slope of the line
Rearrange the equation and we get

3y = 7x + 7
y = 7x/3 + 7/3

So the slope of the line 7x - 3y = -7 is 7/3

There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1

So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7

3 0

2 years ago

Verify the identity. (cos x/ 1+ sin x) + (1+ sin x/cos x) = 2 sec x

Gekata [30.6K]

Answer:

LHS

$\frac{cos x}{1+ sin x} + \frac{1+ sin x}{cos x} \\=\frac{cos2(x)+1+2sin(x)+sin2(x)}{cos(x)(1+sin(x)} \\= \frac{2+2sin(x)}{cos(x)(1+sin(x))} \\\\=\frac{2 (1 + sin(x))}{cos(x)(1+sin(x))} \\= \frac{2}{cos (x)} \\= 2 sec x$

= RHS PROVED

hope it helps :)

8 0

2 years ago

A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diag

Yuri [45]

Answer:

$Area = 2,031ft^2$

Total weight of gravel on the roof = $24,372 pounds$

Step-by-step Explanation:

The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.

We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.

Area of rectangle = L*W

Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area to be covered with gravel = $(30*17) + (13*9) + (52*27)$

$Area = (30*17) + (13*9) + (52*27) = 2,031ft^2$

Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = $12 * 2031 = 24,372 pounds$

5 0

2 years ago