Answer:
Um
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.
Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]
2. We order the terms according to their variables.[tex]x^{2} +4x +y^{2}-6y=36[/tex]
3. Divide the linear term by 2, then elevate it to the square power.[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]
4. Solve operations, and add the same units to the other side of the equation.[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]
5. Now, we sum costant terms, and factor both trinomials.[tex](x+2)^{2} +(y-3)^{2} =49[/tex]
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn a 60% passing grade?
Answer:
She would need 5 more correct answers.
Step-by-step explanation:
This is from the AMC 8 1999 (the question). You can just search up the solution but okay.
70% of 10 is 7 so she got 7 arithmetic questions.
40% of 30 is 12 so she got 12 algebra questions.
60% of 35 is 21 so she got 21 geometry questions.
She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.
60% of 75 is 45 questions correct.
She got 40 questions correct.
She needed 5 more correct answers to get 60%.
Answer:
Step-by-step explanation:
problems solved in arithmetic=10×70 %=7
problems solved in algebra=30×40 %=12
problems solved in geometry=35×60 %=21
total problems solved=7+12+21=40
problems required for passing=75×60 %=45
so more questions required for passing=45-40=5
A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?
Answer: $67.50
Step-by-step explanation:
Marked price = $90
It is sold at 3/4 of marked price
3/4 of 90
3*4 x 90 = 135/2
= 67.50 = sale price
According to the general equation for conditional probability, if P(AuB)=3/7
and P(B) =7/8
what is P(AB)?
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
Answer:
24/49
Step-by-step explanation:
I took the quizz
Convert 36 inches to feet. There are 12 inches in a foot.
Answer:
3 feet
Step-by-step explanation:
Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.
Answer:
5, 7, 9
Step-by-step explanation:
Using the information given we get:
[tex]5x-7=2z[/tex]
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]
Add 7 to both sides
[tex]5x=2x+15[/tex]
Subtract 2x from both sides
[tex]3x=15[/tex]
Divide both sides by 3
[tex]x=5[/tex]
Using these equations:
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
and
[tex]x=5[/tex]
We get:
[tex]x=5\\y=7\\z=9[/tex]
Janice is traveling to Canada and will change $250 US dollars into Canadian dollars. At the current exchange rate, $1 US dollars is equal to $1.28 Canadian dollars. How many Canadian dollars will she get for her trip?
Answer:
She will get $320 in Canada
Step-by-step explanation:
multiply $350*1.28 witch is the Canadian dollar currency
that gets you $320
Select the correct solution in each column of the table.
Solve the following equation.
18
12 + 6s
Examine the given table, and select the accurate number of each type of solution, as well as any real solutions that exist.
Number of
Real Solutions
Number of
Extraneous
Solutions
Real Solutions
0
0
x = 0
1
1
x= 3
2
x = 0, x= 3
N
Answer:
Number of Real Solutions = 1
Number of Extraneous Solutions = 1
Real Solutions = (x = 3)
How do you solve this
Answer:
3.76 × 10^4
Step-by-step explanation:
1. Work out what they are.
1.26 × 10^4 = 12600 (check your calculator to see if I'm right)
To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.
2.50 × 10^4 = 25,000
By doing the same thing above.
2. Add them together
12,600 + 25,000 = 37,600
3. Change the answer into its scientific notation
To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).
37600 ÷ 10,000 = 3.76
Next:
Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:
3.76 × 10^x what is x?
x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.
(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)
So your final answer is: 3.76 × 10^4
Use the discriminant to determine the number of real solutions to the quadratic equation. 11m2+12m+4=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer:
0
Step-by-step explanation:
The discriminant is
12^2 - 4*11*4 = -32
Since it is negative, there are 0 real solutions
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
Answer:
[f(2) - f(-1)]/3
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
Answer:
7 over 12
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
1. Graph the function
Answer:
You should use desmos graphing calculator. It really helps
Step-by-step explanation:
If two-thirds of a number is five-thirds more than the number, what is the number?
what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.
Answer:
Step-by-step explanation:
r = 8 in
h = 5 in
Volume of cylinder = πr²h
= π * 8 * 8* 5
= 320π in³
Answer:
v=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Step-by-step explanation:
A diagram of a concrete walkway around a rectangular pool is shown. If the distances shown are measured in meters, find the total area of the concrete walkway.
A) 28 m2
B) 30 m2
C) 34 m2
D) 40 m2
Answer: 30 m2
Step-by-step explanation:
The area of the pool is 40 m2 and the area of the walk way (before) is 70 m2.
70 - 40 = 30 m2
Two friends each choose a slice of pizza with one topping. The available
toppings are pepperoni (P), onions (O), meatballs (M) and sausage (S).
Write an organized list using the format (Friend 1. Friend 2) to represent
the sample space of toppings chosen between the two friends.
Answer:
Sample space: PP, PO, PM, PS, OP, OO, OM, OS, MP, MO, MM, MS, SP, SO, SM, SS.
Step-by-step explanation:
Suppose Friend 1 select pepperoni, then Friend 2 can choose between 4 options. This gives us 4 possibilities. Then, for each selection made by Friend 1, there are 4 possibilities, given that Friend 1 has 4 different options, the sample space consists of 16 outcomes.
Elanor's newborn baby weighs 3400g. Convert the weight to pounds. Round to the nearest tenth of a pound.
Answer:
7.5 lbs
Step-by-step explanation:
1 g = 0.00220462262185 lb
3400 g * .00220462262185 lbs/1 g = 7.495717 lbs
Rounding to the nearest tenth
7.5 lbs
Find the answer. 3 1/3 x -3 1/6 =
Answer:
=-10 5/9
Step-by-step explanation:
Let's simplify step-by-step. 31/3 x− 31/6
Times the numbers
=-10 5/9
Description:
The first step is to simplify the equation 3 1/3 x -3 1/6 =. When your done simplify the equation your answer will end up as =-10 5/9
Please mark brainliest
Hope this helps.
Answer:
[tex]-10\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{3}\times \:-3\frac{1}{6}[/tex]
[tex]\frac{10}{3}\times \:-\frac{19}{6}[/tex]
[tex]-\frac{10\times \:19}{3\times \:6}[/tex]
[tex]-\frac{190}{18}=-\frac{95}{9}[/tex]
[tex]-10\frac{5}{9}[/tex]
Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.
Answer:
5(n<18)=13
Step-by-step explanation:
Five times a number less than eighteen is equal to thirteen
5 (n < 18 = 13
Given:
AC – AR
<1 = <2
Prove:
<3 =<4
Answer:
ΔCTA ≅ ΔDRA
Step-by-step explanation:
Triangles CTA and DRA are congruent by ASA postulate. This is because:
∠1 ≅ ∠2 (given)AC ≅ AR (given)∠A is the same for both triangles (they are opposite angles)Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4
Can someone please answer this?
Answer: it is a parallelogram
Step-by-step explanation:
the coordinates form a parallelogram as you can see on the grid.
the shapes edges are joined together to form a parallelogram
there you go
.A linear equation in one variable has
Only one solution
Two solutions
More than two solutions
No solution
Answer:
Only One Solution
Step-by-step explanation:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.
Clue 1: Maya and Josh have 20 candles
Clue 2: Maya and Sam have 13 candles
Clue 3: Sam and Josh have 15 candles
Clue 4: There are 24 candles altogether.
How many candles are on Maya’s cake?
How many candles are on Josh’s cake?
How many candles are on Sam’s cake?
Maya=10
Sam=3
Josh=12
Hope this helps.
: )
Answer:
im still alli
Step-by-step explanation:
In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true?
Answer:
(D) Side B A corresponds to Side E D.
Step-by-step explanation:
Took on Edge and got it correct
Which of the following is equivalent to 0.0009?
A 0.0009%
B 0.009%
C 0.09%
D 0.9%
Answer:
C
Step-by-step explanation:
If you multiply by 100 u get C
Answer:
C
Step-by-step explanation:
To turn a number into a percentage, you must multiple it by 100.
Does anyone know how to find the area ?
Answer:
To find the area of a shape, multiply the sides. Hope this helps! ;)
Answer:
YES!
Step-by-step explanation:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
type 2 ways they are the same.
Answer:
if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry
Step-by-step explanation:
2 Points
Which of the following show an element of the sample space for flipping 2
coins? (H = Heads, T = Tails)
Check all that apply.
| A. TH
В. ТТ
C. HH
D. HT
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answer:
300 in³
Step-by-step explanation:
The volume (V) of a triangular prism is
V = Al ( A is the area of the triangular face and l is the length )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 5 and h = 6 , thus
A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 in², so
V = 15 × 10 = 150 in³
Since the triangular prisms are identical, then volume of figure is
V = 2 × 150 in³ = 300 in³
What addition expression is shown on the
number line?
8
+
?
15
