Use the interactive to solve the following problems:
What is the difference between -12 and -5?
What is the distance between -12 and -7 on a number
line?
units
Answer:
Use the interactive to solve the following problems:
What is the difference between –12 and –5?
✔ -7
What is the distance between –12 and –7 on a number line?
✔ 5
units
Step-by-step explanation:
The difference between -12 and -5 is 7.
The distance between -12 and -7 on a number line is 5 units.
What is a number line?""
1. The difference between -12 and -5 is
= (- 5) - (- 12)
= - 5 + 12
= 7
2. The distance between -12 and -7 on a number line is
= [(- 7) - (- 12)] units
= (- 7 + 12) units
= 5 units
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Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? Explain your reasoning.
Answer:
Neither Priya nor Tyler is correct. Both are wrong.
Step-by-step explanation:
Figure D is the only shape that we can refer to as a scaled copy of figure A. This is because, from observation, all segments that make up figure D are times two of the corresponding segments that make up figure A.
Whereas, if we compare figure B, and C with figure A, not all of their segments is twice as the corresponding segments of figure A.
Therefore, both Priya and Tyler are wrong. We cannot agree with any of them.
Simplify radical -81
Step-by-step explanation:
-81
[tex] \sqrt{ - 1} \: \times \sqrt{81} [/tex]
[tex] \sqrt{ - 1} = i [/tex]
[tex]i \times \sqrt{9 {}^{2} } [/tex]
[tex]i \times 9[/tex]
[tex]9i[/tex]
in geometry, you can use deductive rules to
A. find patterns
B. define terms
C. make conjectures
D. prove conjectures
Show that the equation represents a circle and find its center and radius.
x2 + y2 +6y + 2 = 0
Answer:
Step-by-step explanation:
The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.
To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.
Given x² + (y² +6y) + 2 = 0
First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e [tex](\frac{1}{2}*6) ^2[/tex] to the equation and adding the constant to the other side of the equation as well.
x² + (y² +6y) + 2 = 0
[tex]x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\[/tex]
Hence the equation represents a circle with centre C at (0, -3) and radius of √7
If ST=19 and S lies at -4 , where could T be located?
Answer:
15 or -23
Step-by-step explanation:
I think you probably already turned this in but in case you haven't:
ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?
So there's two directions we could go.
Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)
But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)
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During the first round of a game, Silas scores 15 points. He loses 30 points during the second round and gains 10 points during his final turn. What is Silas’ final score? A. –55 B. –25 C. –5 D. 55
Answer:
C. -5
Step-by-step explanation:
Imagine a number line from -15 to 15.
Start at 15, and go left for 30 hops, since we are subtracting. This gives us -15.
Now, start at -15. We go right for 10 hops since we are adding. Where do we land? -5. Thus giving us our answer.
Or you can do it this way:
15-30= -15
-15+10= -5
-5
I hope this helped!
Which value of a from the set (16,18,20,22) makes the equation 2(42-a)=48 true
Steps to solve:
2(42 - a) = 48
~Distribute left side
84 - 2a = 48
~Subtract 84 to both sides
-2a = -36
~Divide -2 to both sides
a = 18
Best of Luck!
3 sets of 6 boxes.What is 3 ÷ 5/6 ? three three and three-fifths three and three-sixths three and three-fourths
Answer:
3.6 or 3 3/5
Step-by-step explanation:
invert the 5/6 to 6/5 and multiply 3x6/5 which would get you 3 3/5
Answer:
the answer is b .
Step-by-step explanation:
1 Point P(-12. 7) is reflected over the x-axis. What are the coordinates of P'?
Answer:
P prime would be (-12, -7)
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
( 5
9
оооо
10
11
Mark this and return
Save and Exit
Next
Submit
Answer:
9 weeks
Step-by-step explanation:
$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how long will it be until the value of the car is 5000 dollars?
Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
need help −5x = 15 !!!!!!!!!!!!
Answer:
x = -3
Step-by-step explanation:
−5x = 15
-5x/-5 = 15/-5
x = -3
What is the value of the dot shown on the number line below? If the answer is not a whole number, enter it as a fraction or mixed number. PLEASE HELP ME ASAP SCHOOL STARTS RN!
Answer:
-3.4 = (-17 /5) = -3 2/5
Step-by-step explanation:
1.
The approximate total surface area of Earth is 5.1 x 108 km2. All the salt water on Earth has an approximate
surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 x 106 km?.
How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in
scientific notation.
Answer:
1,49 10^8 Km²
Step-by-step explanation:
The symbols "<" and ">" are called
Answer:
< is less than
> is greater than
Step-by-step explanation:
< is less than
> is greater than
3(n-9)-2(n+4)=6n What is the solution
Answer:
3(n-9)-2(n+4)=6n
3n-27-2n-8=6n
n-35=6n
-35=5n
n= -7
Step-by-step explanation:
3(n-9)-2(n+4)=6n
open the brackets by multiplication
3n-27-2n-8= 6n
n-35=6n
35=-5nn=-7
Each of the following are true with respect to Hypothesis testing except for:______.a. by failing to reject the null hypothesis, one has not proven that the alternative hypothesis is correctb. there are no exceptions, because all of the statements above are true.c. the statement of the alternative hypothesis always contains an equal signd. if the null hypothesis is not rejected, it does not mean the null is true
Answer:
b. there are no exceptions, because all of the statements above are true.
Step-by-step explanation:
Hypothesis testing refers to the method which is used to test the outcomes of the hypothesis. The result of the experiment conducted is analyzed whether or not the desired results are found. It helps in justifying and finding conclusions in the absence of the scientific theories about the conclusions. A null hypothesis is to be known by the individual before performing the Hypothesis testing.
There are 28 flowers in a bouquet. 7 of the flowers are tulips. What
percent of the bouquet are tulips?
Answer:
25%
Step-by-step explanation:
If a-b is true and b-c is true,
then a-c is true.
A. A syllogism
B.A converse statement
C.An inverse statement
D. A contrapositive statement
Answer:
A. A syllogism
Step-by-step explanation:
The other 3 make no sense in this scenario, also I am in middle school make me brainlyest
Answer:
A syllogism.
Step-by-step explanation:
Note the 2 'middle' element b are the same.
Find the midpoint of CH if C has coordinates (-5,-2) and H has coordinates (9,-4)
Answer:
(2,1)
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-5,\:-2\right),\:\left(x_2,\:y_2\right)=\left(9,\:4\right)\\\\=\left(\frac{9-5}{2},\:\frac{4-2}{2}\right)\\\\= (\frac{4}{2} , \frac{2}{2} )\\\\=\left(2,\:1\right)[/tex]
A square has an area of 172 ftLaTeX: ^22 . What is the approximate length of each side of the square to the nearest tenth?
Answer:
13.1 feetStep-by-step explanation:
Area of a square = Length * Length
A = L²
Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;
[tex]A = L^2\\\\172 = L^2\\\\L^2 = 172\\\\[/tex]
take the square root of both sides;
[tex]\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft[/tex]
Hence the approximate length of each side of the square to the nearest tenth is 13.1 feet
3z+2x+6 use z=9 and x=6
What are the coordinates of the vertex for
f(x)= 3x^2 +6x+3:
(-1,0)
(3.6)
(0,-1)
(6,3)
Answer:
Step-by-step explanation:
f(x) = 3x^2 + 6x + 3
a of s: -6/6 = -1
3(-1)^2 + 6(-1) + 3
3 - 6 + 3
-3 + 3 = 0
(-1,0)
answer is A. the first one
Which of the following is most likely the next step in the series? o O A. o o OB. O c. D.
=====================================================
Explanation:
The number of points goes down by 1 each time.
The first figure has 4 points on the circle. The second figure has 3 points, and after that is 2 points. So the fourth figure is mostly likely to have 1 point on the circle.
The next step in the circular series is Option C with a point on the circle
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the first figure be represented as A
A = figure with a rectangle with 4 points on the circle
Let the second figure be represented as B
B = figure with a triangle with 3 points on the circle
Let the third figure be represented as C
C = figure with a line with 2 points on the circle
Let the next series be represented as D
where D should have only 1 point on the circle
Hence , the figure is Option C with a point on circle
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The square root of 19 is an irrational number between 4 and 5.
1. How do you know it's irrational?
2. How do you know it's between 4 and 5?
Solve for x: 4(x + 2) = 3(x - 2)
-2
-4
-10
-14
Answer:
x=-14
Step-by-step explanation:
Find the x ? Help please
Answer:
x=23
Step-by-step explanation:
A student can read 7 pages of a book in 10 minutes how many pages of the book can the student read in 30 minutes
Answer:
210 pages
Step-by-step explanation:
7 pages = 10 minutes
A pages = 30 minutes
A = 210 pages
The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A student can read 7 pages of a book in 10 minutes.
Let's suppose the student read x number of pages in 30 minutes.
Mathematically,
7 pages → 10 minutes
x pages → 30 minutes
7/x = 10/30
7/x = 1/3
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 7×3
x = 21 pages
Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
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plz help really. -4c - 9.6 + 5c = 0
Answer:
c= 48/5
Step-by-step explanation: