Answer:
Length is 4 less than 3
Step-by-step explanation:
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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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
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
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]
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
To learn more about circle click :
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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:
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.
What is the estimate sum of 709, 645, 798, 704 and 658
⇔·⇔
Answer:
3550
Step-by-step explanation:
Round each number: 709 ⇒ 700, 645 ⇒ 650, 798 ⇒ 800, 704 ⇒ 700, 658 ⇒ 700Add the rounded numbers: 700 + 650 + 800 + 700 + 700 Start slow: 700 + 650 = 13501350 + 800 = 21502150 + 700 = 28502850 + 700 = 3550I hope this helps!
Answer:
3550
Step-by-step explanation:
Round each number: 709 ⇒ 700, 645 ⇒ 650, 798 ⇒ 800, 704 ⇒ 700, 658 ⇒ 700
Add the rounded numbers: 700 + 650 + 800 + 700 + 700
Start slow: 700 + 650 = 1350
1350 + 800 = 2150
2150 + 700 = 2850
2850 + 700 = 3550
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.
Sally works as an estimator for G&J Electric. She has determined that 550 feet of electrical cable will be needed to wire a new house. Later, Sally is told that the
homeowner has decide to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet. How
many feet of wire will be needed now?
Answer:34
Step-by-step explanation:
i just did it
Answer: the number of feet needed after the change is 493 Feet
Step-by-step explanation:
you’re welcome
Solve for x: 4(x + 2) = 3(x - 2)
-2
-4
-10
-14
Answer:
x=-14
Step-by-step explanation:
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:
Find the x ? Help please
Answer:
x=23
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)
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:
What number is 23 percent of 556?
Answer:
127.88
Step-by-step explanation:
=>23/100*556
=>127.88
Answer:
127.88
Step-by-step explanation:
23 x 556 = 127.88
100
9+(-3)=______________
Answer:
6
Step-by-step explanation:
9-3=6
Since -3 is in (), you can just do 9-3 easily
Answer:
My answer to the question is 6.
9+(-3)=9-3=6.
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!
Give a picture about real- life situation illustration percentage and decimals
Step-by-step explanation:
A good example that comes to find is the fuel gauge found on a car, this gauge allows the driver to monitor the percentage of fuel left in the car.
Let's assume the car fuel tank has a capacity of 100 liters. if the indicator is showing half-filled, to illustrate this in percentage it is written as 50% while decimal it will be 0.5.
3z+2x+6 use z=9 and x=6
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:
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]
need help −5x = 15 !!!!!!!!!!!!
Answer:
x = -3
Step-by-step explanation:
−5x = 15
-5x/-5 = 15/-5
x = -3
what is the answer to: (4x)(7y) + (x)(3y)=
Answer:
31xy
Step-by-step explanation:
28xy + 3xy = 31xy
The product of two whole numbers is 650 and their sum is 51. What are the two numbers?
Answer:
The numbers are 25 and 26.
Step-by-step explanation:
When you multiply 25 with 26 you get their product, 650. And when you add them you get the answer 51.
Natalie has 1/2 gallon of milk. She pours an equal amount of milk each of 8 glasses.
Answer:
there are 4 quarts in a gallon so therefore the glasses are half a quart
Step-by-step explanation:
yes
Jens purchased a new ski jacked for $91. The Jacket was marked down 35%. What was the original price of the jacket?
Answer:
1.00-.35=.65
.65×140.00=$91.00
Question 3 (1 point)
(03.06)
Choose the point slope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope of -3.
Answer:
Step-by-step explanation:
y -6 = -3(x + 1)
y - 6 = -3x - 3
y = -3x + 3
Which of the following is a solution to the equation. X^2
x^2 -6x+5=0
A: -5
B: -1
C: =1/5
D: = 5
Answer:
x=1 or x=5
Step-by-step explanation:
x2−6x+5=0
Step 1: Factor left side of equation.
(x−1)(x−5)=0
Step 2: Set factors equal to 0.
x=1 or x=5
224 fl oz equals how many gallons