1. Given (11,7) and (x,−5), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.
2. Find the standard form of the equation for the circle with the following properties.
Center (8,−7/3) and tangent to the y-axis
Answers
9514 1404 393
Answer:
1. x = {6, 16}
2. (x -8)² +(y +7/3)² = 64
Step-by-step explanation:
1. The distance formula is useful for this.
d² = (x2 -x1)² +(y2 -y1)²
13² = (x -11)² +(-5 -7)² . . . . . . . . fill in the given point coordinates
169 -144 = (x -11)² = 25 . . . . . . subtract 144
x -11 = ±5 . . . . . . . . . . . . . . . . . take the square root
x = 11 ±5 = {6, 16} . . . . . . . . . . add 11
The values of x that make the points 13 units apart are 6, 16.
__
2. The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
In order for the circle to be tangent to the y-axis, the radius must be equal to the distance the center is from the y-axis: the x-coordinate of the center point. That is, r = 8.
(x -8)² +(y +7/3)² = 64
Related Questions
Solve: x^3+3x^2+4x=0
Answers
Answer:
x^3 + 3x^2 + 4x = 0
0^3 + 3(0)^2 + 4(0) = 0
Step-by-step explanation:
x = 0
Simplify this please: ^4√y^20
Answers
Answer: y^5
Step-by-step explanation:
In the picture
NO LINKS!!! Part 2:
[tex]y = \sqrt{x} [/tex]
Shape:
Domain:
Range:
Answers
Given:
A square toot function y = √x--------------------------------------------------------------------
Shape: half of a parabola
Domain: Non- negative numbers x∈ [0, +∞)
Range: Non- negative numbers y∈ [0, +∞)
A square has a side lenght 9cm
Answers
Answer:
9cm
Step-by-step explanation:
A "square" always has an equal amount of length and height. If the length is 9cm then the height is also 9cm. a square is like a cube. All of its sides are equal.
-kiniwih426
Find the value of x. NO LINKS AT ALL!!
Answers
Answer:
x= -7
The whole thing is just an awkward mirror but the lower triangle has an angle that is 1 degree smaller so the whole lower section is going to be bigger or smaller and the angle that mirrors the 80 degree angle is now 79 degrees which makes the other angle on that line 1 degree bigger which would be 101 so you put it in the expession to make it the equation -12x+17=101 and you solve for x which you would then get -7.
The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle
Answers
Answer:
h = 5√3
Step-by-step explanation:
h = (√3/2)a
h = 10
h = (√3/2)10
h = 5√3
If p(x)=x3-3x2,then find the value of p(1)
Answers
Answer:
p=[tex]x^{2}[/tex]-3x
Step-by-step explanation:
Divide each term by x
Simplify the left side
Cancel the common factor of x
Cancel the common factor
Divide p by 1
Simplify the right side
Simplify each term
Cancel the common factor of x^3 and x
Factor x out of x^3
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide x^2 by 1
Cancel the common factor of x^2 and x
Factor x out of −3x^2
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide −3x by 1
p=x^2−3x
Write an equation of each parabola in vertex form vertex : (7, 4) point: (5, 16)
Answers
Answer:
y=3(x-7)^2+4
Step-by-step explanation:
PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second
Answers
9514 1404 393
Answer:
25°, 65°
Step-by-step explanation:
Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.
The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.
The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.
Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.
The two angles are 25° and 65°.
_____
Additional comment
There are many ways you can arrive at this conclusion. Algebraically, we can write ...
a+b = sum
a-b = difference
Adding these two equations gives ...
2a = sum +difference
Multiplying by 1/2, we get ...
a = 1/2sum +1/2difference . . . . . . as described above
Subtracting the difference gives ...
b = a -difference = 1/2sum -1/2difference
Estimate and then solve 6,699 ÷ 72 = ___.
92 r 4
93 r 3
93 r 4
94 r 3
Answers
Answer:
It would be 93 remainder 3/the second one.
which of the following is not a perfect tube 1, 9, 8,27
Answers
Answer:
9
Step-by-step explanation:
9 is not a cube number; it is 3 squared. 3³ is 27, 1³ is 1 and 2³ is 8.
9 is not a perfect cube because ∛9 is not a whole number.
Hope this helps!
A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of
four kinds of noodles, one of four kinds of broth, and one of four spices. How many different
combinations of ingredients could the chef put into the soup?
A. 20
B.256
C. 1,024
D. 3,125
Answers
A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of
four kinds of noodles, one of four kinds of broth, and one of four spices. How many different
combinations of ingredients could the chef put into the soup?
A. 20B. 256
C. 1,024
D. 3,125
Step-by-step explanation:
4 kinds of meats
4 kinds of vegetables
4 kinds of noodles
4 kinds of broth
4 kinds of spices
In a total of: 20 different combinations of ingredients.
I hope it helps!The value of different combinations of ingredients could the chef put into the soup is,
⇒ 20
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of four kinds of noodles, one of four kinds of broth, and one of four spices.
Hence, The value of different combinations of ingredients could the chef put into the soup is,
⇒ ⁴C₁ + ⁴C₁ + ⁴C₁ + ⁴C1
⇒ 4 + 4 + 4 + 4 + 4
⇒ 20
Thus, The value of different combinations of ingredients could the chef put into the soup is,
⇒ 20
Learn more about the combination visit:
brainly.com/question/28065038
#SPJ2
HELP!!! Type the correct answer in the box.
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Write the formula to calculate the height, h.
Answers
Answer:
cone height formulas are, h = 3V/πr 2 and h = √l2 - r2, where V = Volume of the cone, r = Radius of the cone, and l = Slant height of the cone.
Caleb wants to rent a kayak. Kayak rentals cost $91.61 for a half hour. If Caleb rents a kayak for 2.9 hours, how much will it cost him?
Answers
Answer:
$265.669
Step-by-step explanation:
$91.61 times 2.9 equals 265.669, therefore it would cost him $265.669. Round up/down if needed.
Entrance to a state park costs $6 per car, plus $2 per person in the vehicle. How might you determine the entrance cost for a bus with 50 people?
Answers
Answer: 130 dollars because 26 times 5 is 130 and 5 stands for 50 people
Assuming each family had one car, 2 people would cost $10, 4 would cost $14, 10 would cost $26.
Let me know if you want me to expand further... Happy to help :)
Brainliest please
Step-by-step explanation:
The lengths of the worms (in inches) are listed here.
Which line plot shows this data?
Answers
Answer:
The second one shows the data of the lengths of the worms.
Step-by-step explanation:
By counting the number of times a number was represented on the number line.
Like 1, four times.
1 1/2, three times.
1 3/8, three times.
Likewise to all other numbers.
A coin is tossed 6 times, find the probability of getting 3 heads.
Answers
Answer:
3/6
Step-by-step explanation:
Answer:
0.31 if you get exactly 3 heads or 0.66 probability if you get at least 3 heads, or 50%
Step-by-step explanation:
0.31 is the probability of getting exactly 3 Heads in 6 tossed
0.66 is the probability of getting at least 3 heads
Help or no if so thanks<3
Answers
4/21 of a spool
Step-by-step explanation:
2/7 * 2/3 = 4/21
Josh wrote 483 out of an expected 500 words for his essay. How would this ratio be expressed in decimal form?
A 0.034
B 0.483
С 0.966
D 4.83
Answers
Answer:
b
Step-by-step explanation:
just trust me
9. Which lines are parallel if mZ4=mZ5? Justify your answer.
Answers
Answer:
r || s
Step-by-step explanation:
m∠4 = m∠5 Given.
These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated. If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.
Help with this problem
Answers
Answer:
You should use AAS for this problem
Step-by-step explanation:
Maybe Brainliest Please
janet obtained 32% for her statistics test, which was out of a total of 300 marks. how much should she score in the computer science test that is out of 200 marks in total if she is to get proportionally weighted average of 46%
Answers
Her score in computer to get a proportionally weighted average of 46% will be 134.
The total score for both subjects = 200 + 300 = 500
Since the proportionally weighted average is 46%, then her score will be:
= 46% × 500
= 0.46 × 500
= 230
Since she had 32% for her statistics test, which was out of a total of 300. Her score will be:
= 32% × 300
= 0.32 × 300
= 96
Therefore, her score in computer will be:
= 230 - 96
= 134
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I need help with Part B does anybody know
Answers
Answer:
Ako pilipino
Step-by-step explanation:
I'm on american hehe pilipino talaga ako
Find polynomial function of degree 3. Such that f(2)=24 and x-1, x and x+2 are factors of the polynomial
Answers
Answer:
5
Step-by-step explanation:
Class 6 MATHS is this correct?
Answers
Answer:
yes it is correct great job
-7/6 or -11/15
which is the greatest?
Answers
Answer:
-11/15 is the greatest because ita in negative
Answer:
-11/15 is > -7/6
Step-by-step explanation:
simplify this please
Answers
Answer:
0? I tried solving it myself then I put it into my calculator and both times I got 0
Solve the problems. Write the complete proof in your homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
Answers
Step-by-step explanation:
Well we know that ZACB=LABC because
AABC is isosceles, so base angles theorem applies.
m<ACB=70°
So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°
Finally, DE || CB because the alternate interior angles ECB=<DEC
pls I need help pls I need it
Answers
Answer:
You would need 23 inches to build it
Hi i need help with this
Answers
Answer:
is there an equation for the problem?
Step-by-step explanation:
Answer:
11/24 pound
i think so right