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1 year ago

11. (21x² - 6x +14) + (x²-3x+18)

Mathematics

2 answers:

Furkat [3]1 year ago

6 0

Answer:

22x^2-9x+32

Step-by-step explanation:

(21x² - 6x +14) + (x²-3x+18)

To add, we need to combine like terms

21x^2+x^2 -6x-3x +14+18

22x^2-9x+32

Inessa [10]1 year ago

5 0

Answer:

22x² - 9x + 32

Step-by-step explanation:

(21x² - 6x +14) + (x²-3x+18)

Get rid of the parenthesis:

21x² - 6x + 14 + x² - 3x + 18

Group like terms:

22x² - 9x + 32

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Sedbober [7]

Answer:

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Step-by-step explanation:

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3 years ago

3. In the figure below, find the values of x, y, and z.

Murrr4er [49]

Answer:

z= 13

x= 36

y= 18

Step-by-step explanation:

Solving for z.

We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.

We can set both of those angles equal to each other, and solve for our missing side, z.

108= 8z+4

104=8z

z= 13

Solving for x.

We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.

We can set both of these angles equal to each other, and solve for our missing side, x.

3x=108

x= 36

Solve for y.

We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.

4y+108=180

4y= 72

y= 18

3 0

2 years ago

A line with a slope of -6 passes through the point (-8, -3). What is its equation in point-

MAVERICK [17]

Answer:

y+3=-6(x+8)

Step-by-step explanation:

Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);

y+3=-6(x+8)

8 0

2 years ago

Angela asked each member of her class if they ever been to six flags over Georgia the class consists of 10 males and 14 females.

Feliz [49]

Answer:

2 male students didn't visit six falgs.

Step-by-step explanation:

Hello!

You have the following information:

The class has 10 male students and 14 female students.

From the females, 8 visited six flags over Georgia.

And from the total of students of class 16 visited the six flags over Georgia.

Using this information you have to calculate the number of male students that did not visit six flags.

First step: Calculate the number of male students that visited six flags.

The total of students that visited is 16 from those 8 are female then 16 - 8 = 8 male students visited six flags.

Second step: Calculate the number of students that didn't visit it.

From the total of male students in the class, 8 visited six flags so 10 - 8 = 2 male students didn't visit six flags over GA.

I hope this helps!

7 0

3 years ago

LMNP is a rectangle. Find the value of x and the length of each diagonal.

Neporo4naja [7]

Solution:

We know that:

Given diagonals: LN and MP
LN and MP must be equal because they are diagonals of LMNP.
LN = 4x + 3
MP = 8x - 9

Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9

Let's simplify the equation to find x.

Subtracting 4x both sides.

$4x + 3 = 8x - 9$
=> $4x - 4x + 3 = 8x - 9 - 4x$
=> $3 = 4x - 9$

Add 9 both sides.

=> $3 = 4x - 9$
=> $3 + 9 = 4x - 9 + 9$
=> $12 = 4x$

Divide 4 both sides.

=> $12 = 4x$
=> $\frac{12}{4} = \frac{4x}{4}$
=> $x = 3$

Now, let's find the length of each diagonal.

$LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units$
$MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units$

7 0

2 years ago

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