Mathematics High School
Answers
Answer 1
Answer:
The center is ( 1,-3) and the radius is 3
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x-1)^2 + (y+3)^2= 9
(x-1)^2 + (- -3)^2= 3^2
The center is ( 1,-3) and the radius is 3
Related Questions
What is the slope of the graph?
Answers
Answer:
-2
Step-by-step explanation:
The slope formula is
m = ( y-2-y1)/(x2-x1)
Using two points on the line (0,4) and (2,0)
m = ( 0-4)/(2-0)
= -4/2
=-2
Answer:
-2
Step-by-step explanation:
Slope is change in y over change in x
the change in y is -2 and the change in x is 1 so you do -2/1 and that as a whole number is -2.
Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles. What is the ratio of blue marbles to green and red marbles? Choose the answer that is a simplified unit rate. a 1 : 5 b 3 : 15 c 5 : 1 d 15 : 3
Answers
Answer:
a 1 : 5
Step-by-step explanation:
Blue mables: 3
green and red marbles: 8 + 7 = 15
then, the radio blue:(green+red) is:
3 : 15
simplified unit rate is:
3/3 = 1
15/3 = 5
then:
3:15
is equal to:
1:5
Answer:
a 1 : 5
Find the length, x,of the third side of the triangle.
Answers
Answer: 6.5
====================================================
Explanation:
This is a visual example of the pythagorean theorem. We add the areas of the two squares to get
13+29.25 = 42.25
Then we apply the square root to this to get the value of x, which is the hypotenuse of the right triangle
x = sqrt(42.25) = 6.5
---------
Side note: if you're curious about finding the other lengths of the triangle, apply the square root to those areas. The blue area 29.25 will lead to a side length of approximately sqrt(29.25) = 5.4083269; the red square will follow the same idea.
Answer:
Step-by-step explanation:
area of a square=a²
A=29.25
a=side=√29.25 first square
second square =a=√13
find x(c)
right triangle: a²+b²=c²
(√29.25 )²+(√13)²=c²
29.25+13=c²
c=√(29.25+13)=6.5 unit
(Algebra || is Soo hard!) Please someone help me:)
Answers
Answer:
B
Step-by-step explanation:
B is the correct answer
2+i/5= i=5 +=-
have a nice day
Answer:
[tex]\boxed{\sf B) \ 2-i}[/tex]
Step-by-step explanation:
[tex]\sf \frac{2+i}{5}[/tex]
Reciprocal the fraction.
Switch the denominator with the numerator.
[tex]\sf \frac{5}{2+i }[/tex]
Multiply the numerator and the denominator with the conjugate [tex]\sf 2-i[/tex].
[tex]\sf \frac{5(2-i)}{(2+i)(2-i)}[/tex]
[tex]\sf \frac{10-5i}{(2+i)(2-i)}[/tex]
Apply rule to solve for the denominator:
[tex]\sf (a+bi)(a-bi)=a^2 +b^2[/tex]
[tex]\sf a=2\\b=1[/tex]
[tex]\sf \frac{10-5i}{2^2 +1^2 }[/tex]
[tex]\sf \frac{10-5i}{4+1}[/tex]
[tex]\sf \frac{10-5i}{5}[/tex]
Simplify the fraction.
[tex]\sf \frac{10}{5}-\frac{5i}{5}[/tex]
[tex]\sf 2-i[/tex]
Romain knows the following information about the 323232 classes he took in high school: He studied for but did not pass 333 classes. He passed 272727 classes in total. He studied for 262626 classes in total. Can you help Romain organize the results into a two-way frequency table?
Answers
Answer:
Classes studied for, Classes he did not study for Total
Classes Passed, 23 4 27
Classes Failed, 3 2 5
Total, 26, 6 32
Please find attached the two way frequency table formatted on Excel spreadsheet
Step-by-step explanation:
The given information are;
The total number of classes Romain took in high school = 32
The number of classes he studied for but did not pass = 3
The total number of classes Romain passed = 27
The number of classes Romain studied for = 26
Therefore;
The number of classes Romain studied for and passed = 26 - 3 = 23
The total number of classes Romain failed = 32 - 27 = 5
The total number of classes Romain passed but did not study for = 27 - (26 - 3) = 4
The number of classes Romain did not study for and failed = 5 - 3 = 2
The total number of classes Romain did not study for = 4 + 2 = 6
I dont know how to solve this question using proportions:
212.7 = 16.8% of
Answers
Answer:
17,725/14.
Step-by-step explanation:
Let's say that the blank is represented by x.
Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.
[tex]\frac{16.8}{100} =\frac{212.7}{x}[/tex]
16.8 * x = 212.7 * 100
16.8x = 21,270
x = 21,270 / 16.8
x = 212,700 / 168
x = 17,725 / 14 = 1,266.071429
To check our work, 1,266.071429 * 0.168 = 212.7.
Hope this helps!
4 1/3 b+b=6b–10.4 efvnabvkjaebv
Answers
Answer: The value of b= 15.6
Step-by-step explanation:
The given equation: [tex]4\dfrac{1}{3}b+b=6b-10.4[/tex]
To find : Value of b.
Since, we can write [tex]4\dfrac{1}{3}=\dfrac{13}{3}[/tex]
So, the given equation becomes [tex]\dfrac{13}{3}b+b=6b-10.4[/tex]
[tex]\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4[/tex]
Subtract 6b from both sides , we get
[tex]\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6[/tex]
hence, the value of b= 15.6
I don't know why its correct. Help explain to me pls.
Answers
The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12
Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.
The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).
On a pice of paper graph Y + 2 > -3x - 3
Answers
Answer:
Copy this onto a piece of graph paper
Step-by-step explanation:
when graphing you want to make sure that the slope is correct and the y-intercept is the same
Aster corporation accepted a $20,000, 9 percent 120-day note dated august 25 from lee company in settlement of a past bill. On October 25, Aster Corporation decided to discount the note at a discount of 8 percent. The proceeds to Aster Corporation are (blank)
Answers
Answer:
$20, 533.33
Step-by-step explanation:
From the question, we are given the following values
Principal = $20000
Rate = 8% = 0.08
Time( in years) = 120days = 4 months = 4/12 years = 1/3 years
Interest = Principal × Rate × Time
Interest = 20,000 × 0.08× (1/4)
Interest = $533.33
Hence, the proceeds to Aster Corporation are
$20000 + $533.33
= $20,533.33
Need help with these last two questions, tysm if you do :D
Answers
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
show a quadrilateral ABCD in A is(2,8) and B is (8,6) .the point c lies on the perpendicular bisector of AB and the point D lies on the y- axis. the equation of BC is 3y=4x-14 and angle DAB=90° find
(a) the equation of AD
(b) the coordinates of D
(c) the equation of perpendicular bisector of AB
(d) the coordinates of C
show the area of triangle ABC is 10 units and find the area of the quadrilateral ABCD
Answers
Answer:
(a) y = 3x + 2; (b) (0,2); (c) y = 3x - 8; (d) (2,-2)
(e) Area of ∆ABC = 30; (f) Area of ABCD = 40
Step-by-step explanation:
(a) Equation of AD
(i) Slope of AB
m₁ = (y₂ - y₁)/(x₂ - x₁) = (6 - 8)/(8 - 2)= -2/6 = -⅓
(ii) Slope of AD
m₂ = 3
(ii) y-intercept
y = 3x + b
8 = 3(2) + b= 6 + b
b = 2
The equation of AD is y = 3x + 2.
(b) Coordinates of D
The coordinates of D are (0,2).
(c) Equation of perpendicular bisector of AB
(i) Mid-points of AB
x = ½(x₂ + x₁) = ½(8 + 2) = ½(14) = 5
y = ½(y₂ + y₁) = ½(6 + 8) = ½(14) = 7
The coordinates of the mid-point are (5,7).
Slope = 3
y = mx + b
7 = 3(5) + b = 15 + b
b = 7 - 15 = -8
The equation of the perpendicular bisector is y = 3x - 8.
(d) Coordinates of C
C is at the intersection of BC and the perpendicular bisector of AD.
y = 3x - 8
3y = 4x - 14
3y = 9x - 24
0 = 5x - 10
5x = 10
x = 2
y = 3(2) - 8 = 6 - 8 = -2
The coordinates of C are (2,-2).
(e) Area of ∆ABC
A = ½bh = ½ × 10 × 6 = 30
(f) Area of ABCD
Area of ∆ACD = ½bh = ½ × 10 × 2 = 10
Area of ABCD = ∆ACD + ∆ABC =10 + 30 = 40
In solving the formula
A = (1/2)bh, in solving for h, you could first multiply both side by 1/2.
True or False
Answers
Answer:
False
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by b )
[tex]\frac{2A}{b}[/tex] = h
find the x intercept x+6y=30
Answers
Answer:
x = 30
(30, 0)
Step-by-step explanation:
The x-intercept is when the graph crosses the x-axis when y = 0. In that case, simply plug in 0 for y:
x + 6(0) = 30
x + 0 = 30
x = 30
Answer: (30,0)
Step-by-step explanation:
x-intercept can be found in the form x = my + b, where b is the x-intercept. Thus, simply turn x+6y=30 into x-6y+30, to find that the x-intercept is (30,0)
Hope it helps <3
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answers
Answer: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Step-by-step explanation:
When you subtract b/2a from both sides, you end up with the Quadratic Formula.
Answer:
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]
Subtract [tex]\frac{b}{2a}[/tex] from both sides.
[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]
[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
This is a quadratic formula.
Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answers
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
1+1+2+6+7+9x89x98x45x56/4
Answers
Answer:
49453757
Step-by-step explanation:
Answer:
49453757
Step-by-step explanation:
Dont forget to rate and thanks!
Choose the best estimate for the division problem below
6.7 /0.6
A. 16
B. 15
C. 11
Answers
Answer:
11
Step-by-step explanation:
6.7 / .6
Multiply top and bottom by 10
67/6
66/6 = 11 so this is close to 11
the answer i believe is C which is 11
Step by step just divide man shouldnt be hard
Given:g(x)= x-4 and h(x)= 2x-8 What are the restrictions on the domain of g•h? x>
Answers
Answer:
[tex] g(x) =\sqrt{x-4}[/tex]
[tex] h(x) =2x-8[/tex]
And we want to find:
[tex] g o h(x)[/tex]
Replacing we got:
[tex] go h(x)= \sqrt{2x-8 -4}= \sqrt{2x-12}[/tex]
And the restriction for this case would be:
[tex] 2x-12 \geq 0[/tex]
[tex] 2x \geq 12[/tex]
[tex] x \geq 6[/tex]
Step-by-step explanation:
Assumign that we have the following two functions:
[tex] g(x) =\sqrt{x-4}[/tex]
[tex] h(x) =2x-8[/tex]
And we want to find:
[tex] g o h(x)[/tex]
Replacing we got:
[tex] go h(x)= \sqrt{2x-8 -4}= \sqrt{2x-12}[/tex]
And the restriction for this case would be:
[tex] 2x-12 \geq 0[/tex]
[tex] 2x \geq 12[/tex]
[tex] x \geq 6[/tex]
the figure is cut into 8 equal pieces shade 3/4 of the figure
Answers
8 pieces divided by 4 is 2. Times that by 3 is 6 therefore the answer is 6
Answer:
You have to shade 6 pieces.
Step-by-step explanation:
Hope it helps!
Find the probability of rolling a three first and then a ten when a pair of dice is rolled twice
Answers
Answer: 0.0046
Step-by-step explanation:
First, let's calculate the total number of outcomes that you can see from a pair of dice.
Each dice has 6 options, so the total number of combinations is:
6*6 = 36.
Now, the combinations that are equal to 3 are:
3 and 1
1 and 3
2 combinations.
So the probability is equal to the quotient between the number of combinations that are equal to 3, and the total number of combinations:
P = 2/36 = 0.055
Now, the combinations that are equal to 10 are:
5 and 5
4 and 6
6 and 4.
3 combinations.
Then the probability is:
P = 3/36 = 0.0833
Now, the probability of both events happening is equal to the product of the probabilities for each event, so the total probability is equal to:
P = ( 0.0833)*( 0.055) = 0.0046
Bianca has a piece of rope that is 22 feet long. She cuts the rope into 3 pieces of equal length. Explain how to determine the length, in feet , of each piece of rope. What is the length, in feet, of each piece of rope written as a mixed numbers? Explain how to use a multiplication equation to check your answer.
Answers
Answer:
Hey there!
To solve this problem, you want to divide 22 by 3, which is about 7.33 feet.
We can check this by seeing 7.33 times 3=22
Hope this helps :)
8(3a+5)???? please help!!!!!! ASAP!!!!
Answers
I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.
8 times 3a = 24a
8 times 5 = 40
So 8(3a+5) becomes 24a+40
We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.
8(3a+5)= 24a+40 and just leave it at that
You take 8x3a and you get 24a and then 8x5 you get 40
Simplify this expression: -2x + 3 – (5 – 6x).
Answers
Step-by-step explanation:
-2x + 3 – (5 – 6x)
=-2x + 3 - 5 + 6x
= 4x - 2
Answer:
4x - 2
Step-by-step explanation:
We have to combine the like terms which are -2x and 6x. We will get 4x. Next, we have to subtract 3 - 5 and we get -2. This brings us to the conclusion of 4x - 2.
What is the probability that Annie rolls a sum of 6 and José rolls doubles?
Answers
Answer:
5/216
Step-by-step explanation:
There are 5 possibilities that Annie will roll a 6 out of 36 possible outcomes and there 6 possible outcomes of Jose rolling doubles out of 36 if you multiply these possibilities 5/36 x 6/36 you get 5/216. Sorry if wrong that's what I put for my test.
WILL GIVE THE BRAINLIEST! Which of the following inequalities can be represented by the graph?
Answers
Answer: Choice A) [tex]y \ge 2x-2[/tex]
=========================================
Explanation:
The boundary line is y = 2x-2. This line goes through (0,-2) and (2,2). Use the slope formula to find the slope to be m = 2, and use the y intercept b = -2 to help form the equation.
Since the boundary line is solid, we will have "or equal to" as part of the inequality sign. This indicates points on the boundary are part of the solution set. Furthermore, we will have a greater than sign because the shaded region is above the boundary. Therefore, we change the equal sign to a "greater than or equal to" sign, going from y = 2x-2 to [tex]y \ge 2x-2[/tex]
If we simply did [tex]y > 2x-2[/tex] without the "or equal to" portion, then the boundary line would be dotted or dashed to tell the reader "points on the boundary are not part of the solution set".
Determine the settlement set of the following trigonometric equations! cos (x - 1/3π) = cos 1/2π, 0 ≤ x ≤ 2π
Answers
cos (x - π/3) = cos (π/2)
Then we need x - π/3 = π/2
Solving the equation:
x - π/3 = π/2
x = π/2 + π/3
x = 5π/6
The tee for the fifth hole on a golf course is 375 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answers
Answer:
158.73 yd
Step-by-step explanation:
A picture of the situation is needed, investigating I could find a related one, in the same way the important thing is the solution, the data can be exchanged. I attach the drawing.
Let use the formula of the law of cosine:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos C, to solve the problem
Let the third side be c, we replace:
c ^ 2 = 375 ^ 2 + 240 ^ 2 - 2 * 375 * 240 * cos 16 °
c ^ 2 = 198225 - 173027.10
c ^ 2 = 25197.9
c = 158.73
So the distance is 158.73 yd
Answer: the right answer is 195.4
Step-by-step explanation: this guy does not what's happening
Find the value of each trigonometric ratio.
Answers
Answer:
12 / 37 (or:=0.324324324...)
Step-by-step explanation:
Sinθ = opposite / hypotenuse
Hence
sinA = 12 / 37
(=0.324324324...)
Answer:
A = 19
Step-by-step explanation:
sin A = opp/hyp
sin A = 12/37
A = sin- ¹ 12/37
A= 18.92 or 19
What is angle ac? Round to the nearest hundredth. HURRY
Answers
Answer:
AC = 20°
Step-by-step explanation:
180° (total angle amount of a triangle) - 70° + 90° (right angle) = ac
AC = 20°
Hope this helps!