5.3: Solutions on a Number Line
The numbers x, y, and a are positive, and x = 3, y2 = 16, and z2 = 30.
-3
-1
5
+
+ +
-2
0 1 2 3 4 5 6 7
8 9
1. Plot.x, y, and z on the number line. Be prepared to share your reasoning with the
class.
2. Plot -v2 on the number line.

Answer:

9/14

Step-by-step explanation:

81/126=9x9/9x14=9/14

Answer:

9/14

Step-by-step explanation:

I divided both the numerator and denominator by 9 and 9/14 is the "most simplified" it can go to, unless I'm incorrect. Hope this helped ^-^

Answer:

n < 7

Step-by-step explanation:

Solve the bracket first (9-18n)

add the n together (-15n)

add the 9 and the -96 together (-105)

Divide 105 and 15n (7)

n < 7

Have a good day :)

Answer:

take 45 degree as reference angle

using sine rule

sin45=p/h

1/[tex]\sqrt{2}[/tex]=[tex]\sqrt{5}[/tex]/m(do cross multiplication)

[tex]\sqrt{2}[/tex]*[tex]\sqrt{5}[/tex]=m

[tex]\sqrt{10}[/tex]=m

Step-by-step explanation:

Answer: it’s 24

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

24

Step-by-step explanation:

Answer:

<5 and <7= 56 degrees

Step-by-step explanation:

for <5: 180-124=56

<7 is equal to <5

Brainliest Plz?

Answer:

C Base x Height ÷ 2. 300 ÷ 2 = 150. 150 ÷ 12 .5 is 12.

Answer:

32

Step-by-step explanation:

I just know that it's the answer

By satisfying all the four criteria, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

Based on vectorial expressions, an isosceles trapezoid satisfies the following properties:

(i) [tex]\overrightarrow{CD} = k \cdot \overrightarrow{AB}[/tex], for k ∈ [tex]\mathbb{R}[/tex]    

(ii) AB ≠ CD    

(iii) [tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]  

(iv) AC = BD

Now we proceed to prove each property:

Requisite I

(3 - (-3), 4 - 4) = (6, 0)

(5 - (-5), 0 - 0) = (10, 0)

(6, 0) = (5/3) · (10, 0)

Requisite II

AB = 6, CD = 10

AB ≠ CD

Requisite III

[tex]\overrightarrow{AC} = (2, 4)[/tex]

[tex]\overrightarrow{BD} = (-2, 4)[/tex]

[tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]

Requisite IV

[tex]AC = \sqrt{[-3-(-5)]^{2}+(4-0)^{2}}[/tex]

[tex]AC = \sqrt{2^{2}+4^{2}}[/tex]

[tex]AC = 2\sqrt{5}[/tex]

[tex]BD = \sqrt{(3-5)^{2}+(4-0)^{2}}[/tex]

[tex]BD = \sqrt{(-2)^{2}+4^{2}}[/tex]

[tex]BD = 2\sqrt{5}[/tex]

AC = BD

The figure with the entire quadrilateral is shown below. Therefore, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

To learn more on quadrilaterals: https://brainly.com/question/25240753

#SPJ1

Answer:

Step 1: Identify the values for b and c. In this example, b=6 and c=8.

Step 2: Find two numbers that ADD to b and MULTIPLY to c. This step can take a little bit of trial-and-error. ...

Step 3: Use the numbers you picked to write out the factors and check

Step-by-step explanation:

thank me later

Answer:

The answer is letter C) a cars distance at a constant speed

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

Answer:

roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]

Step-by-step explanation:

[-b ± √b² - (4ac)] ÷2a

2x² - 5x - 6 = 0

a = 2

b = -5

c = -6

[5 ± √5² - 4(2)(-6)] ÷ 2(2)

[5 ± √25 - (-48)] ÷ 4

[5 ± √73] ÷ 4

Answer:

It is skewed right

Step-by-step explanation:

Answer: looks pretty bell shaped to me

Step-by-step explanation:

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

Answer:

y=-8-44

=-52

y=-20x+14

-52=-20x+14

-20x=-52-14

-20x=-66

x=-66

-20

y=3.3

Answer:

y = 3/2x - 8

Step-by-step explanation:

y = 3/2x + b

4 = 3/2(8) + b

4 = 12 + b

-8 = b

Answer: 24.67 or D

Step-by-step explanation:

i just took the quiz, goodluck <33

Answer:

Step-by-step explanation:

132 degrees

Answer: top right

Step-by-step explanation:

An equation is formed of two equal expressions. The graph can be used to solve the equation 2x-1=x+2 is the Top right one.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The two of the given equations can be written as,

y = 2ˣ - 1

y = x + 2

If the two equations are now when plotted on the graph, it will be like the one shown below. Hence, the graph can be used to solve the equation 2x-1=x+2 is the Top right one.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ6

Answer:

A

Step-by-step explanation:

I took the test

Answer:

the range is 53 :)

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

This question has missing details.

The given parameters from the complete question is:

[tex]Slushy\ Cup = \$5[/tex]

[tex]Refill = \$1[/tex]

Required

Total amount for 1 cup and 5 refills

Let

[tex]x \to[/tex] Slushy Cup

[tex]y \to[/tex] Refill

So, the expression for the total amount is:

[tex]Total = 5x + y[/tex]

[tex]x =1[/tex] -- 1 cup

[tex]y = 5[/tex] -- 5 refills

So, the total is:

[tex]Total = 5 * 1 + 5[/tex]

[tex]Total = 5 + 5[/tex]

[tex]Total = 10[/tex]

Answer:

A. 3 stores

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

There are 3 stores farther than 3.5 miles

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

the side x is 15

bottom right angle is 31.61 degrees

other angle is 58.39 degrees

Answer:

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

AGIB

Step-by-step explanation:

I solved it eh.

Pretty simple honestly.

But school ends!

Each side and each area were calculated using the Pythagoras theorem.

The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.

So, using the Pythagoras theorem

[tex]TU^2=175^2-79^2[/tex]

[tex]TU^2=24384[/tex]

[tex]TU=156.15[/tex]

So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.

Similarly, [tex]GH = \sqrt{207^{2}-98^2 }[/tex]

[tex]GH=182.33[/tex]

So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.

Thus, each side and each area were calculated using the Pythagoras theorem.

To get more about right triangles visit:

https://brainly.com/question/2217700

answer:

0

step by step explanation:

Answer:

Step-by-step explanation:

3(x-4)=5         use distributive property

3x-12=5         add 12 to both sides

3x=17             isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(x- 4) = 5}[/tex]

[tex]\large\textsf{DISTRIBUTE 3 within your parentheses}[/tex]

[tex]\mathsf{3(x) + 3(-4) = 5}[/tex]

[tex]\mathsf{3(x) = \bf 3x}[/tex]

[tex]\mathsf{3(-4)=\bf -12}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}[/tex]

[tex]\mathsf{3x - 12 = 5}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{3x - 12 + 12 = 5+12}[/tex]

[tex]\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}[/tex]

[tex]\mathsf{5+12=\bf 17}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x = 17}}[/tex]

[tex]\mathsf{3x = 17}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

The rest are incorrect.