Answer:
( -4, -1 ) and ( -9, - 6)Step-by-step explanation:
Given(x - 1)^2 + (y + 3)^2 = 13 x + y = -3SolutionFrom the second equation we get
x = - y - 3Substituting x in the first equation
(- y - 3 - 1)^2 + (y + 3)^2 = 13(-y - 4)^2 + (y + 3)^2 = 13(y+4)^2 + (y+3)^2 = 13y^2 + 8y + 16 + y^2 + 6y + 9 = 132y^2 + 14y + 12 = 0y^2 +7y +6 = 0(y+1)(y+6) = 0y = - 1y = - 6Then
x = -4x = - 9Answer
( -4, -1 ) and ( -9, - 6)In February, you have a balance of $135 in your bank account. Each month you deposit $45. Write an equation to describe the situation.
Answer:
135+45x
Step-by-step explanation:
Solve the following system of equations. y + 5x = 30 2y = 5x + 15
Answer: Solve 2y-5x-30 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y-5x-30 = 0 and calculate its properties
Step-by-step explanation:
Answer:
x = 3, y = 15
Step-by-step explanation:
Given the 2 equations
y + 5x = 30 → (1)
2y = 5x + 15 → (2)
Subtract 5x from both sides in (1)
y = 30 - 5x → (3)
Substitute y = 30 - 5x into (2)
2(30 - 5x) = 5x + 15 ← distribute left side
60 - 10x = 5x + 15 ( subtract 5x from both sides )
60 - 15x = 15 ( subtract 60 from both sides )
- 15x = - 45 ( divide both sides by - 15 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 30 - 5(3) = 30 - 15 = 15
Thus solution is x = 3, y = 15
1 What is the nature of the roots of the quadratic equation if the value of its discrimman
is zero?
The roots are not real
o the roots are rational and not equal
b. The roots are irrational and not equal d the roots are rational and equal
2. Whal is the ans of symmetry of the parabola y
Answer:
If d is zero, both roots are rational and equal.
Step-by-step explanation:
Quadratic Equations
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The discriminant is defined as:
[tex]d=b^2-4ac[/tex]
The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:
If d is positive, both roots are real and differentIf d is negative, both roots are imaginary and conjugateIf d is zero, both roots are rational and equal.write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
Look at the table
What is the ratio of cows to horses?
pwease help me
Answer:
5:8 is the ratio of cows to horses.
What is the best first step to solve the inequality 5x – 3 ≥ 2?
Answer:
add 3
Step-by-step explanation:
trust me
1 11. What is the constant of proportionality? y = 8x
Answer:
-8
Step-by-step explanation:
lere
yoooo can someone help meeee thanks In advance
Answer:
The slope of F = 5.
Not 100% sure.
what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
2x+3=17 and x =7
It’s for algebra class please help my teacher is really strict but okay please thank u a lot
Answer:
The equation is true/ or an identity
Step-by-step explanation:
Plug in 7 for x, you get
2(7)+3=17
14+3=17
17=17
Answer:
14+3=17or(2*7) +3=17basically 17=17Step-by-step explanation:
2x+3=17 and x =7
Let's Substitute:(Because the variable is x and we have a value for it which is 7)(Bold and underlined is where the variable is in the equation)Since x is equal to 7 we are going to substitute it in the equation.
So: (2*7) +3=1714+3=17I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.
Everyone Can Learn and will never stop learning!
Thank you! Hope this helps!4x - 10 = p+ 3x - 2x what is the value of x
Answer: if you need more let me know
Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts
Answer:
22
Step-by-step explanation:
The side of the rectangle that is 20 feet divide it by 5
[tex]\dfrac{20}{5}=4[/tex]
Now we add one to this as the fence post each required in each 5 feet section.
The same is the case for the opposite side.
So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]
Now for the 35 feet side
[tex]\dfrac{35}{5}=7[/tex]
Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.
So, new posts on the 35 ft side is 6.
So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]
Total number of posts is [tex]10+12=22[/tex]
The quadrilateral shown is a rhombus. What is m∠4?
A) 28°
B) 32°
C) 58°
D) 90°
In a rhombus, both pairs of opposite angles are congruent
so m<4=32 degrees
so your answer is 32 DEGREES
expresa en lenguaje algebraico lo siguiente
Answer:
i dont speek Spanish sorry
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
Learn more about trigonometric ratio here
https://brainly.com/question/1201366
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2y + 4 = x + 2
Plz help solve for x in terms of y
Answer:
x=2y+2
Step-by-step explanation:
Answer:
2y + 2 = x
Step-by-step explanation:
Treat is like a normal equation and solve with inverse operations:
2y + 4 = x + 2
-2 -2
2y + 2 = x
What do I put in those blank spaces? Been doing this for hours
Answer: okay so this is what I think is the answer I used a calculate so
Step-by-step explanation:
$12.05
$24.08
$36.12
$48.16
$60.20
Step-by-step explanation:
1 hour 2 hours 3 hours 4 hours 5 hours
$12.04 $24.08 $36.12 $48.16 $60.20
Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)
Answer: 6.32 units
Step-by-step explanation: You count the distance and get 6.32 units.
I need help? I don’t know what to dooooooo
You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?
Answer:
=36
Step-by-step explanation:
Step-by-step explanation:
for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....
so we have to multiply 3×3×4
=36
so if we divide 36 by 3 ,4 OR 9
we will not find any remainder
For the function, f(x) = x - 2, find x if f(x) = -1.
A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP
Answer:
1/8 tablespoons
Step-by-step explanation:
Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.
You can do this by multiplying 1/2 by 1/4.
[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]
Answer:
it would be 1/8
Step-by-step explantion:
simply divide
1/2÷4
=1/8
(that should be right)
Find he percent of change from 1250 to 1,755mi
Identify the axis of symmetry of the parabola.
Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
If Kiran solves the equation for p, which equation would result?
Answer: i have a answer but it is not up there srry
Step-by-step explanation:
Please help me answer this question 17
Answer:
∠AEC = 139°
Step-by-step explanation:
EC bisects ∠BED. This means that the line EC cuts the angle in half, so ∠BEC = 4x + 1
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
1)
What number is 4 times as many as 25?
Answer:
100
Step-by-step explanation:
which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =