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1 year ago

Hello people ~factorise↷ x^2 + 4x –21

Mathematics

1 answer:

EleoNora [17]1 year ago

8 0

Let's see

$\\ \rm\rightarrowtail x^2+4x-21$

$\\ \rm\rightarrowtail x^2+7x-3x-21$

$\\ \rm\rightarrowtail x(x+7)-3(x+7)$

$\\ \rm\rightarrowtail (x-3)(x+7)$

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What is the growth or slope of the simplified equation? NEED ANSWER ASAP

Zielflug [23.3K]

Answer:

Slope is 5.

Step-by-step explanation:

y + 3x = 8x -7

y = 5x - 7

coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b. m is the slope.

6 0

2 years ago

What is the volume of a cylinder with a radius of 10 meters and a height of 4 meters?

Licemer1 [7]

Answer:

The volume of the cylinder is about 1256.6 cubic meters.

Step-by-step explanation:

The volume of a cylinder is given by the formula:

$\displaystyle V=\pi r^2h$

Where <em>r</em> is the radius and <em>h</em> is the height.

Our radius is 10 meters and our height is four meters. Substitute:

$\displaystyle V=\pi(10)^2(4)$

Evaluate:

$V=400\pi \text{ m}^3\approx 1256.6\text{ m}^3$

Thus, the volume of the cylinder is about 1256.6 cubic meters.

3 0

2 years ago

7(x 4) can someone answer fast

jeka94

7(x+4)=0
7x+28=0
7x=-28
X=-28/7
X=-4

4 0

2 years ago

For ΔABC, ∠A = 2x - 2, ∠B = 2x + 2, and ∠C = 5x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A

Zolol [24]

<h3>Answer:</h3>

A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

<h3>Explanation:</h3>

The sum of angles in ∆ABC is 180°, so ...

... (2x -2) + (2x +2) + (5x) = 180

... 9x = 180

... x = 20

and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.

___

The sum of angles of ∆A'B'C' is 180°, so ...

... (58 -x) +(3x -18) +(120 -x) = 180

... x +160 = 180

... x = 20

and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.

_____

The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...

... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

8 0

2 years ago

A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make

beks73 [17]

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ 
x= \frac{155}{sin(27)} \\ \\ 
x=341$

Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.

5 0

2 years ago

Hello people ~factorise↷ x^2 + 4x –21​

Hello people ~factorise↷ x^2 + 4x –21