Use the distributive property to evaluate the expression
4(9 + 1)

Answer:

12. B

13 A

18 B

19 B

Step-by-step explanation:

12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3

13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true

18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.

19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8

I hope this helps! :)

Answer:

A Positive

Step-by-step explanation:

If we input the fraction given to us by using the text editor, we have:

\dfrac{b}{c}

OUTPUT:

[tex]\dfrac{b}{c}[/tex]

The sign before that fraction term is known as positive.

Answer:

a. postive

Step-by-step explanation:

Answer:

(6t) + (3t) + (4t)

Simplified it would be 13t

Answer:

15 feet

Step-by-step explanation:

you and your friend basically formed two different triangles, and in order to determine the distance that the ball traveled we must calculate both hypotenuses:

triangle 1:

hypotenuse = √(8² + 6²) = √100 = 10 feet

triangle 2:

hypotenuse = √(4² + 3²) = √25 = 5 feet

total distance traveled by the ball = 10 + 5 = 15 feet

Answer:

if there are no typos, line is y=0

Step-by-step explanation:

slope intercept form is y=mx+b

m= slope

b= y intercept

slope is found by y2-y1 / m2-m1

so using the points (-1, 0) and (-5, 0)

(0-0) / (-5 - -1)

= 0/ -4

= 0

m=0

y=0x+b

plug in a point to find b

0=0*-1 +b

b=0

The line is just y=0

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Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]

[tex]Perimeter=9+2+3+3+6+5[/tex]

[tex]Perimeter=28[/tex]

Therefore, the perimeter of UVWXYZ is 28 units.

Answer:

5w + 4 = 2u

Step-by-step explanation:

If your problem is putting that statement into number form, then that'll be your answer

Answer:

subtraction

Step-by-step explanation:

b= 40 - 5

40- 5 =35

b=40

Answer:

addition

Step-by-step explanation:

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]

Putting the values in slope of line formula,

[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]

Multiplying both sides by -14

[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]

The value of r is 66

Hence,

The missing value in the ordered pair is 66

Answer:

3L

Step-by-step explanation:

Answer:

Day 18

Step-by-step explanation:

Answer: 1600

Step-by-step explanation:

If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.

19200 ÷ 12 = 1600.

In conclusion, 1600 pieces are in each puzzle box.

Hope this helps!

Answer:

1,600 pieces per puzzle

Step-by-step explanation:

19,200/12= 1,600

you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so

Answer:

the square root of 9 is 3

the square root of 25 is 5

the square root of 0.12 is 0.346

Answer:

exact form is 3/5 and dcimal form is 0.6.

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of nown factors,assuming positive real numbers.

Answer: The answer is 626

Step-by-step explanation:

Substitute 11 for x, you get 626.

Answer:

The answer you are looking for is A.

Step-by-step explanation:

Remember, the domain is a set of working x values or all possible inputs of a function or two variable relationship. The range is a set of working y values or all possible outputs of a function or two variable relationship. A two variable relationship with more than one output for each input will not be a function in general but will be refered to as inverse.

Now given a set of coordinates for this relation, coordinates with x and y values or inputs and outputs are generally cartesian coordinates represented by (x,y). This is so we know the working x value for each y value, also making it easier to graph it on a coordinate plane or visualize it. x = domain (input of a function) , y = range (output of a function).

All you have to do is sort the x and y values you are given from the coordinates.

For instance, (-1,2) and (4,5) : domain of -1 and 4 [the x values], range of 2, and 5 [the y values].

Answer:

y intercept = [tex](0, ~-\frac{5}{2} )[/tex]

x intercept = [tex](-2, ~0)[/tex]

.

Step-by-step explanation:

[tex]-5x - 5y = 10[/tex]

.

y intercept

[tex]\to x = 0[/tex]

[tex]-5(0) - 4y = 10[/tex]

[tex]-4y = 10[/tex]

[tex]y = \frac{10}{-4}[/tex]

[tex]y = -\frac{5}{2}[/tex]

so, the answer is [tex](0, ~-\frac{5}{2} )[/tex]

.

x intercept

[tex]\to y = 0[/tex]

[tex]-5x - 4(0) = 10[/tex]

[tex]-5x = 10[/tex]

[tex]x = \frac{10}{-5}[/tex]

[tex]x = -2[/tex]

so, the answer is [tex](-2, ~0)[/tex]

.

Happy to help :)

Answer:

wjwjwjwjwj qjqjjw ajajwj ajajqjjq qjqjaj wjwjjw wjwjwj wjwjw

Step-by-step explanation:

bqhhq wjwjw wjwjw wjwj

Given:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

To find:

The number of remaining pieces after 23 days.

Solution:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.

The number of remaining pieces decreasing by [tex]\dfrac{1}{4}[/tex].

Formula for number of remaining pieces is

[tex]y=a_0(1-r)^t[/tex]

where, [tex]a_0[/tex] is the initial value, r is decreasing rate and t is time.

Putting [tex]a_0=800,r=\dfrac{1}{4}[/tex] and t=4, we get

[tex]y=800(1-\dfrac{1}{4})^4[/tex]

[tex]y=800(\dfrac{3}{4})^4[/tex]

[tex]y=800(0.75)^4[/tex]

[tex]y=800(0.31640625 )[/tex]

[tex]y=253.125[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 253[/tex]

Therefore, the number of remaining  pieces is 253.

Answer:

b

Step-by-step explanation:

Answer:

[tex]y=2-2\cos(x)[/tex]

Step-by-step explanation:

We have the differential:

[tex]y^\prime=2\sin(x)[/tex]

With the general solution:

[tex]y=C-2\cos(x)[/tex]

And we want to find the particular solution such that it satisfies the initial condition:

[tex]\displaystyle y\Big(\frac{\pi}{3}\Big)=1[/tex]

So, we have:

[tex]y=C-2\cos(x)[/tex]

Substituting π/3 for x and 1 for y yields:

[tex]\displaystyle 1=C-2\cos\Big( \frac{\pi}{3} \Big)[/tex]

Solve for C. Evaluate:

[tex]\displaystyle 1=C-2(\frac{1}{2})[/tex]

Simplify:

[tex]1=C-1[/tex]

Hence:

[tex]C=2[/tex]

Therefore, our particular solution will be:

[tex]y=2-2\cos(x)[/tex]

Hence, our answer is C

Answer:

Here the answer to your question

Step-by-step explanation:

Answer:12months

Step-by-step explanation:

There are 12 months in a year

Step-by-step explanation:

when,X=1

y=-3 *1+2.5

y=-3+2.5

y=0.5

when,X=1.5

y=-3*1.5+2.5

y=-4.5+2.5

y=-2

when,y=8.5

8.5=-3*X+2.5

3*X=2.5-8.5

3*X=-6

X=-6/2

X=-3

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]y=-3x+2.5[/tex]

So,

[tex]y=-3 (1)+2.5\\y=-3+2.5\\y=0.5\\[/tex]

When,

[tex]x=-1.5\\y=-3(1.5)+2.5\\y=-4.5+2.5\\y=-2\\[/tex]

when,

[tex]y=8.5\\8.5=-3x+2.5\\3x=2.5-8.5\\3x=-6\\x=-\frac{6}{2}\\x=-3\\[/tex]

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ6

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. [tex]s_{1} = -s_{2}^{-1}[/tex])

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate.  That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

[tex]s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2[/tex]

So the first pair of vectors describe a line with a slope of 2.  Let's look at the other pair:

[tex]s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2[/tex]

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions.  We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image.  For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.

Answer:

Step-by-step explanation:

4/(2+12)

=4/14

=2/7

=0.2857

Step-by-step explanation:

4/(2+12)

4/(14)

=0.285714286/ 2/7

Answer:

The amount of cups of water in the water bottle is 7.5.

Step-by-step explanation:

Given that Henry drank 2/5 of his bottle of water, and those 2/5 were distributed in 3 glasses, to determine the total amount of glasses that go into the bottle it is necessary to perform the following calculation:

2/5 X = 3

1/5 X = 1.5

X = 1.5 x 5

X = 7.5

Therefore, the bottle fits 7 and a half glasses of water.

Answer:

3,0 and 0,(-2)

Step-by-step explanation: