Hello there,
I hope you and your family are staying safe and healthy during this winter season.
[tex]x^2 + y^2 -6x+14y-1=0[/tex]
We need to use the Quadratic Formula*
[tex]x =\frac{-b+\sqrt{b^2}-4ac }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^2} -4ac }{2a}[/tex]
Thus, given the problem:
[tex]a = 1, b=-6, c=y^2+14y-1[/tex]
So now we just need to plug them in the Quadratic Formula*
[tex]x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}[/tex] , [tex]x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}[/tex]
As you can see, it is a mess right now. Therefore, we need to simplify it
[tex]x=\frac{6+2\sqrt{10-y^2-14y} }{2}[/tex], [tex]x = \frac{6-2\sqrt{10-y^2-14y} }{2}[/tex]
Now that's get us to the final solution:
[tex]x=3+\sqrt{10-y^2-14y}[/tex], [tex]x=3-\sqrt{10-y^2-14y}[/tex]
It is my pleasure to help students like you! If you have additional questions, please let me know.
Take care!
~Garebear
in triangle MNP, the measure of angle M is 24 degrees. the measure angle N is five times the measure of angle P. find the measure of angle N and angle P
Answer:
108°
Step-by-step explanation:
(48p+24) / 6
Solve using Distributive property
Answer:
8p + 4
Step-by-step explanation:
(48p + 24) / 6
We will first divide the first term, 48p
48/6 = 8, so 48p/6 = 8p.
24/6=4
That makes our final expression:
8p + 4
Answer the question below Solve for x in triangle PQR. Round the solution to the nearest hundredth degree. A right triangle PQR is shown. Measure of angle Q is 90 degrees and measure of angle P is x degrees. Measure of side QR is 26 and measure of side PR is 47.
Answer:
I.d.k man but the answer is 20
Step-by-step explanation:
Not a guess at all
Answer:
.....when it max out we could talk here
Step-by-step explanation:
plz help me this is super hard!!!!
Answer:
connect ideas
Step-by-step explanation:
have a great day
Answer: B
Step-by-step explanation:
subtract 1 3/4 from 2 7/10. please answer me now I want it immediately
Answer:
Rewriting our equation with parts separated
=1+3/4−2−7/10=1+3/4−2−7/10
Solving the whole number parts
1−2=−11−2=−1
Solving the fraction parts
3/4−7/10=?
Find the LCD of 3/4 and 7/10 and rewrite to solve with the equivalent fractions.
LCD = 20
15/20−14/20=1/20 15/20−14/20=1/20
Combining the whole and fraction parts
−1+1/20=−19/20
Identify an equation in point-slope form for the line perpendicular to y = -1/2x + 11 that passes through (4, -8)
Answer:
y+8 = 2(x-4)
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Since we know the slope of the first line is -1/2, this means the slope of the line perpendicular to it is 2.
And since we know the coordinated located on the line, we can fill out the formula for poiny-slope form:
y-y1 = m(x-x1)
Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?
Answer: There are 120 boats in the marina.
Step-by-step explanation:
Let's suppose that there are N boats
We know that 5/6 of them are white, then we have: (5/6)*N white boats.
The remaining is: N - (5/6)*N = (1/6)*N
We know that 2/5 of the remaining are blue, then we have:
(2/5)*(1/6)*N blue boats
And the rest are red, the rest is:
(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N
Then we have (3/5)*(1/6)*N red boats.
And we know that there are 12 red boats, then:
(3/5)*(1/6)*N = 12
Now we can solve this for N, which is the total number of boats in the marina.
N = 12*(6)*(5/3) = 120
There are 120 boats in the marina.
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing. The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
Answer:
50+8c
Step-by-step explanation:
Basically meaning 50 plus how ever many miles.
plz help ive been stuck on this one also !!
tell me how you feel about math, what teachers should change about how they teach, and why.
.
.
absolutely just for a survey
Answer:
They teach good when they like us and the class
Teachers are the god because if they are not there we are not there
Step-by-step explanation:
which statement is not true about the circle below?
Answer:
the first choice: There are 3 points of tangency.
Step-by-step explanation:
A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 6, negative 4.5, negative 3, negative 1.5. A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 6.1, 2.1, negative 1.9, negative 5.9.
Complete the statements about the system of linear equations represented by the tables.
The equation representing the left table is
.
The equation representing the right table is
.
The solution to the system of equations is
Answer:
The equation representing the left table is:
y = 1.5x – 6
The equation representing the right table is:
y = –4x + 6.1
The solution to the system of equations is:
(2.2, –2.7)
Equation representing the left table is y=1.5x-6, Equation representing the right table is y=-4x+6.1 and solution is (2.2, -2.7).
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The first table is
x y
0 -6
1 -4.5
2 -3
3 -1.5
Slope = -4.5+6/1
=1.5
Now let us find y intercept
-6=1.5(0)+b
-6=b
So the equation representing the left table is y=1.5x-6
Now let us find second table
x y
0 6.1
1 2.1
2 -1.9
3 -5.9
m=2.1-6.1/1=-4
Now y intercept
2.1=-4+b
b=2.1+4
b=6.1
Equation representing the right table is y=-4x+6.1
Now equate two equations
1.5x-6=-4x+6.1
1.5x+4x=6.1+6
5.5x=12.1
x=12.1/5.5
x=2.2
and y=-4(2.2)+6.1
y=-8.8+6.1
y=-2.7
Hence, equation representing the left table is y=1.5x-6, Equation representing the right table is y=-4x+6.1 and solution is (2.2, -2.7).
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ7
Sarah evaluated the expression [(23 x 4) + 2]+2. What was her answer?
Oa. 12
Oc. 16
Ob. 14
O d. 18
Answer:
Step-by-step explanation:
((23 x 4) + 2)+2
(92 + 2) +2
94 + 2 = 96
If you push a skateboard with a force of 6 N. If your mass is 60kg, what is the force that the skateboard exerts on you?
Mindy has a bag of coins. The bag contains 8 dimes, 5 nickels, and 3 pennies. She
will randomly select 2 coins from the bag one at a time without replacement.
What is the probability that Mindy will select a dime first and then, without
replacing it, a nickel?
SHOW WORK!
Answer:
1/6
Step-by-step explanation:
The probability of the dime being pulled first is 8/16 or 1/2
After the dime is pulled, the probability of the nickel being pulled is 5/15 or 1/3
Multiply 1/2 and 1/3 to get 1/6
For each ordered pair, determine wether it is a solution to y= -3x +5
Answer:
1.yes
2.no
3.yes
4.no
Step-by-step explanation:
can i plz get brainliest
Simplify by combining like terms. 8(3y + 4) - 10y
PLS HELP ME NOW, I NEED THE ANSWER‼️‼️
Answer:
14y + 32
Step-by-step explanation:
First apply the distributed property: 24y + 32 - 10yCombine like terms: 24y - 10y = 14yRe-write: 14y + 32I hope this helps!
Don’t look at 2. But can someone help with one and fast ...????
Answer:
a? sorry if it wrong
Step-by-step explanation:
PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST IF CORRECT!!
Answer
It's D
Step-by-step explanation:
if x=-2 substitute the value of x into the expression and simplify 6x-5
Answer:
-17
Step-by-step explanation:
First, apply -2 in the equation.
It will then be 6 (-2) - 5 = ?
You have to multiply the 6 by the -2
It is -12
Then subtract the 5 from the equation
Then you get -17
Cedro bought 10 ounces of Cereal A for $2.25. Then he bought 15 ounces of Cereal B for $3.30. Which cereal is less expensive?
Answer:
Cereal B.
Step-by-step explanation:
To figure out how much it costs per ounce for each cereal, first we need to divide.
Cereal A: $2.25 / 10 = $.225 per ounce
Cereal B: $3.30 / 15 = $.22 per ounce
So, cereal B is less expensive.
*HELP**URGENT*DUE TONIGHT*
Sam's dad gave him $30 for washing their car. He used the money to buy a basketball for $7.50 and three sports drinks for $2.75 each. Sam also bought a bag of candy. If Sam went home with 13 of the money his dad gave him, how much did the bag of candy cost?
Answer:
Basketball + Sports Drink
$7.50 + $2.75 = $10.25
$10.25 + ? + $13 = $30
30 - 23.25 = 6.75
In a recent poll, 13% of all respondents said that they were afraid of heights. Suppose this percentage is true for all Americans. Assume responses from different individuals are independent.
a. What is the probability of having 3 randomly selected Americans all say that they are afraid of heights?
b. What is the probability of having none of the 3 randomly selected Americans say that they are afraid of heights?
c. What is the probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights?
Answer:
A
Step-by-step explanation:
I think is a
A) The probability of having 3 randomly selected Americans all say that they are afraid of heights is 0.21%.
B) The probability of having none of the 3 randomly selected Americans say that they are afraid of heights is 65.85%.
C) The probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights is 9.83%.
Given that in a recent poll, 13% of all respondents said that they were afraid of heights, supposing this percentage is true for all Americans and responses from different individuals are independent, to determine A) what is the probability of having 3 randomly selected Americans all say that they are afraid of heights; B) what is the probability of having none of the 3 randomly selected Americans say that they are afraid of heights; and C) what is the probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights; the following calculations must be performed:
A)
0.13 x 0.13 x 0.13 = X 0.0021 = X 100X = 0.21
B)
100 - 13 = 87 0.87 x 0.87 x 0.87 = X 0.6585 = X 100X = 65.85
C)
0.87 x 0.87 x 0.13 = X 0.0983 = X 100X = 9.83Learn more about probability in https://brainly.com/question/18721089
solve the inequality 2(n + 3) - 4 < 6
Answer:
n < 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2(n + 3) - 4 < 6
Step 2: Solve for n
[Addition Property of Equality] Add 4 on both sides: 2(n + 3) < 10[Division Property of Equality] Divide 2 on both sides: n + 3 < 5[Subtraction Property of Equality] Subtract 3 on both sides: n < 2Here we see that any value n smaller than 2 would work as a solution to the inequality.
all expressions equivalent to 35x+3
Answer:
I think u need to give us the options you are given. There are an never ending number of expressions equivalent to 35x+3
Step-by-step explanation:
Can someone help me please and thank you ( i'll give brainliest and extra points)
Which table represents a quadratic function?
Answer:
D
Step-by-step explanation:
A table of values can be generated from a quadratic function by substituting the x-values and calculating the values for f(x). When looking at a table of values for a quadratic function, the x-intercepts represent the x-values where y = 0. This corresponds to the x-values where f(x) is 0 in function notation.
Step-by-step explanation:
c
because it ca. help you then way it was explain
Work out the volume of this prism.
Answer:
480 cm³
Step-by-step explanation:
Giveb that :
Area = 40cm²
Height, h = 12 cm
The volume of a prism is the product of it's base area and height, h
Base area = 40cm² ; height = 12cm
Volume = base area * height
Volume = 40cm² * 12cm
Volume = 480cm³
Simplify 7x^2+ 5x+4x answer pls
Answer:
7x^2+9x
Step-by-step explanation:
Hope this helps...
7x^2+(5x+4x)=
7x^2=9x
Answer:
7x^2 + 9x
Step-by-step explanation:
that's all thanks
SOMEONE PLEASE HELP ME ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU
Answer:
1. is B
2. is C
4. is yes
3.flies ( your correct)
5. A&D ( I think)
6. pads
Step-by-step explanation:
hope this helps:)