Solve by factoring
x^2+7x+12=0

Answer:

3400 feet

Step-by-step explanation:

Distance between building 1 and building 2 = |5+3| = 8

Distance between building 2 and building 3 = |4+5| = 9

Distance between building 3 and building 4 = |-3-5| = 8

Distance between building 4 and building 1 = |4+5| = 9

total distance = 8 x 2 + 9 x 2 = 34

total distance in feet =  34 x 100 = 3400 feet

Answer: 3400 feet

Step-by-step explanation:

Mono (1) nomial == 1 term.

11x^2 is 1 term in combination so B is your answer.

D. is not, its a binomial along with C. and A.

Answer:

The least common denominator is 12.

Step-by-step explanation:

Here's how I got my answer.

First, I listed out the multiples of 4, which is the denominator of 1/4.

4: 4, 8, 12, 16

Next, I listed out the multiples of 3, which is the denominator of 2/3.

3: 3, 6, 9, 12

The smallest number they have in common is 12.

Therefore, the least common demoninator (LCM) is 12.

Answer:

5x^2-19x-36

Step-by-step explanation:

(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)

5x^2 + 8x - 27x - 36

5x^2 - 19x - 36

Expression as a trinomial is  6x² -19x -36.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

(2x – 9)(3x +4).

To express as a trinomial:

(2x – 9)(3x +4),

= 6x² -27x + 8x -36

= 6x² -19x -36

Trinomial is a quadratic function.

Therefore, as a trinomial is 6x² -19x -36.

To learn more about the quadratic function;

https://brainly.com/question/11485644

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Answer:

The equation of the line is;

y = 4x

Step-by-step explanation:

The general equation form of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The graph passes through the origin and that means the y -intercept is 0

To get the value of the slope, we select any point on the graph and substitute its coordinates

Let’s select point (1,4)

Substitute this;

4 = m(1) + 0

m = 4

Thus, the equation of the line is;

y = 4x

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

Answer:

56.3408 ft

Step-by-step explanation:

Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162

Answer: Red copper = $0.12 per meter

Yellow copper = $0.22 per meter

Step-by-step explanation:

Since Red copper costs $0.90 for 7.6m, the cost of 1m of red copper will be:

= $0.90/7.6

= $0.12

Since yellow copper costs $1.12 5.2m, the cost of 1m of yellow copper will be:

= $1.12 / 5.2

= $0.22 per meter

Answer:

y = -1/2x - 2

Step-by-step explanation:

2x + 4y = -8

4y = -2x - 8

y = -1/2x - 2

Answer:

Tyler is correct

Step-by-step explanation:

ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A

Answer:

(2,1)

x = 2

y = 1

Explanation:

Check the image

Answer:

(2,1)

Step-by-step explanation:

Since we already have an equation for y, all we need to do is plug that into y in the other equation.

y + 5 = 3x

(2x - 3) + 5 = 3x

2x - 3 + 5 = 3x

2x + 2 = 3x

2 = x

Now that we know y, we just need to plug the value of x into the equation.

y = 2(2) - 3

= 4 - 3

= 1

Answer: A, 120 units cubed

Step-by-step explanation:

Formula = (H*W*L)/2

4 * 3 * 20 = 4 * 60 = 240

240 / 2 = 120

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

Answer:0

Step-by-step explanation:

-1

Answer:

a) 17/9

b) 25/39

Step-by-step explanation:

a)  3 2/5 to 1 4/5

17/5 to 9/5

The ration of fractions is 17/5 / 9/5  = 17/9

b) 2 4 /3  to 1 / 5 5

10/3 to 26/5

25/39

Answer:

2.75

Step-by-step explanation:

The median is just the middle number in the number set. So, you put the numbers in order (which they already are), and find the middle number. If there are two numbers in the middle (which only happens if there is an even amount of numbers), then you add both of them and divide by 2 (which we must do in this problem).

0.8, 1.0, 2.7, 2.8, 3.1, 13.3

(2.7 + 2.8)/2

(5.5)/2 = 2.75

So, the median is 2.75.

Hopefully this helped, good luck!

Step-by-step explanation:

Arranging the numbers in an ascending order:

0.8 1.0 2.7 2.8 3.1 13.3

Median = (3rd value + 4th value) / 2

[tex] = \frac{2.7 + 2.8}{2} \\ = \frac{5.5}{2} \\ = 2.75[/tex]

Answer:

29045.86.

Step-by-step explanation:

Total  = 25000e^(5*0.03) = 29045.86

Answer: -48

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

Expand 8(3x+6)

a=8 b=3x c=6

=8*3x+8*6

Simplify; 8*3x+8*6

=24x+48

Expand 9(2x-4)

a=9, b=2x, c=4

=9*2x-9*4

Simplify;9*2x-9*4

=18x-36

24x+48=18x-36

Subtract 48 from both sides;

24x+48-48=18x-36-48

Simplify;

24x=18x-84

Subtract 18x from both sides;

24x-18x=18x-84-18x

Simplify;

6x=-84

Divide both sides by 6;

6x/6=-84/6

Simplify; 6x/6

=x

Simplify ; -84/6

x=-14

Helped by none other than the ONE & ONLY #QUEEN herself #DRIPPQUEENMO !

Answer:

a=5

b=-4

c=8

Step-by-step explanation:

Answer:

123cm

Step-by-step explanation:

becuse

Answer:

625

Step-by-step explanation:

The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.

Put these points in the above expression, we get:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

brainly.com/question/25813512

Answer:

The answer is 55,300.

Step-by-step explanation:

There are 100 centimeters in one meter so you can multiply by 100 to get the answer. I hope this helps! Have a great rest of your day!

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