Answer:
A. 2Step-by-step explanation:
Given circle:
x² + y² + 4x - 2y = -1Convert the equation into the standard form of (x - k)² + (y - h)² = r²:
x² + 4x + 4 + y² - 2y + 1 = -1 + 4 + 1(x + 2)² + (y - 1)² = 2²As per above:
r = 2Correct choice is A
A.2
Answer:
Solution given:
equation of a circle is:
x²+y²+4x-2y=-1
x²+y²+4x-2y+1=0
Comparing above equation with
ax²+by²+2gx+2fy+c=0
we get
a=1
b=1
g=2
f=-1
c=1
now
radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]
substituting value
r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]
therefore radius of a circle is 2 units
Which angles are adjacent to each other?
• Angle KGD and Angle AEB
• Angle BEC and Angle AEB
• Angle AEB and Angle ECU
• Angle JCI and Angle KGD
Answer:
Step-by-step explanation:
adjacent angles have a common vertex and a common ray
∠BEC and ∠AEB (common vertex E common ray EB)
Hello, stuck on 1 problem:
4/8 - 3/4 = ?
Answer:
-2/8
Step-by-step explanation:
All you need to do is to find the common denominator which is 8
so 4/8 is good to go and remains as it is
For 3/4 you have to multiply the fraction by 2, both numerator and denominator
you will get 6/8
so 4/8-6/8 would give you -2/8 or -1/4
I NEEEDDDD HELPPP ASAPPPP!!! it’s urgentttttt
Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1
-0.6the decimal in equivalent fraction form
[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]
[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]
please me in the math
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} and \: \\ 4 {x}^{6} - 4 {x}^{x} \\ it \: is \: lcm[/tex]
Answer:
I'm sorry I'm not good at math
Step-by-step explanation:
sorry
help please!!! will mark brainiest later
1. 1/2
2. The Y axis
3. 1 right and 1 down (1, -1)
According to the synthetic division below, which of the following statements are true? Check all that apply
The true statements are A , B , E
What is division?It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here, In the synthetic calculation we use the coefficient of the dividend
with the factors of the function
∴ 2 , -2 , -12 are the coefficient of the dividend 2x² - 2x - 12
∵ The divisor is 3
∴ x = 3 is a root of F(x) = 2x² - 2x - 12
∵ x = 3 is the root of F(x) = 2x² - 2x - 12
- Subtract the two sides by 3
∴ x - 3 = 0
∴ (x - 3) is a factor of the dividend F(x) = 2x² - 2x - 12
- The quotient is the last line of the synthetic division
∴ The coefficients of quotient are 2 , 4
- The quotient is 1 degree less than the dividend
∵ The degree of the dividend is 2
∴ The degree of the quotient is 1
∴ The quotient is 2x + 4
* Lets check the answers to chose the write statements
A. The number 3 is a root of F(x) = 2x² - 2x - 12 ⇒ true
B. (x - 3) is a factor of 2x² - 2x - 12 ⇒ true
E. (2x² - 2x - 12) ÷ (x - 3) = 2x + 4 ⇒ true
Thus, the true statements are A , B , E.
Learn more about Division from:
https://brainly.com/question/21416852
#SPJ1
At the hot dog stand, 1/3 of all hot dogs served had a sesame buns, 2/5 of all hot dogs had ketchup, and 1/10 of all hot dogs were plain. What does the product of 1/3(2/5) stand for?
Answer:
The product of 1/3(2/5) represents the number of hot dogs that were served on sesame buns WITH ketchup
Step-by-step explanation:
What is the slope of the line that passes through the points (4, 4) and (10, 7) ? Write your answer in simplest form.
Answer: 1/2x + 2
Step-by-step explanation:
To get the slope you can look at the image. I got the y intercept by graphing the line and manually finding it. I forget how to solve for it
A macaroni and cheese recipe calls for 's of a 2 % pound block of cheese. How many pounds
are needed?
Mr. Williams ask to buy 1/2 of a pan of brownies that is 2/3 full. What fraction of the original pan does he buy?
4/6
Mr. williams wants to buy 4/6
Answer:
there is some missing information here
if the pas is a dozen brownies
1/2 of a pan is 6 2/3 of 6 would be "4"
how much mac-n-cheese are being made?
that information would be needed to solve this
Step-by-step explanation:
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?
Answer:
A: Rewrite the expression on the left using the distributive property.
Rewrite the equation by completing the square.
x^2-x-20=0
(x+ ? )^2= ?
please help me
Answer:
[tex](x-\frac{1}{2})^2=\frac{81}{4}[/tex]
Step-by-step explanation:
Hi there!
[tex]x^2-x-20=0[/tex]
This equation is written in the form [tex]ax^2+bx+c=0[/tex]. First, use partial factoring:
[tex](x^2-x)-20=0[/tex]
For x^2-x, the b value is -1 in [tex]ax^2+bx+c[/tex]. To complete the square, take the square of half of 1 and add it in the parentheses as the c value:
[tex](x^2-x+\frac{1}{2}^2 )-20=0[/tex]
However, when adding values to one side of the equation, we must to the same to the other side:
[tex](x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2[/tex]
Complete the square:
[tex](x-\frac{1}{2})^2-20=\frac{1}{4}[/tex]
Move 20 to the other side
[tex](x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}[/tex]
I hope this helps!
triangles help pls!!
Answer:
x = 60
Step-by-step explanation:
The single dashed line represents congruent side lengths.
If every side of a triangle has a single dashed line then all of the sides are congruent meaning that the triangle is an equilateral
Equilateral triangles have all congruent side lengths and angles
In an equilateral triangle each angle has a measure of 60 degrees
So x = 60
Answer:
Step-by-step explanation:
A parallelogram is divided into two triangles, both triangles having equal sides.
So triangles are equilateral..In equilateral triangles, the angles are also equal..the interior angles of a triangle are 180 degrees..
180 ÷ 3 = 60 degree---> x:60°
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
Answer:
25 inches
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + 15^2 = c^2
400 +225 = c^2
625=c^2
Taking the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
Rational between √16 and √17
Answer:
41/10
Explanation:
sqrt16 = 4
sqrt17 = 4.12
4.1 = 41/10 and 4<4.1<4.12
Can someone please help
Answer:
[tex]162.07[/tex]
Step-by-step explanation:
An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
Substitute,
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
[tex](m<ABD)+(m<DBC)=90[/tex]
[tex]42+(m<DBC)=90[/tex]
Inverse operations,
[tex]42+(m<DBC)=90[/tex]
[tex]m<DBC=48[/tex]
Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.
In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacnet}[/tex]
Substitute,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
Inverse operations,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
[tex]adjacent=\frac{180}{tan(48)}[/tex]
[tex]adjacent=162.07[/tex]
Help me fastttttttyyt
Answer:
1
Step-by-step explanation:
no exponent
1. Alec is building a model car. The model is 0.03 the size of the car. Let c represent the size of
the original car. What is an expression to represent the size of the model car
Answer:
Answer:
Step-by-step explanation:
There are several ways in which to express this ratio. First and according to the size the model is to the real car:
m = .03c or [tex]m=\frac{3}{100}c[/tex] or conversely, you could state the expression according to the size of the real car as compared to the model:
c = 33 1/3m (the car is 33 and a third times the size of the model).
Write if the statement presented is "True" or "False." If False, Justify. "The simplified ratio of 27:36 is 4: 3"
Answer:
FALSE. isn't it supposed to be 3 : 4.
Step-by-step explanation:
Simplified would be 27÷ 9 =3 and 36 ÷ 9 =4
============================================================
Explanation:
The ratio 4:3 has the first part (4) larger than the second part (3)
The ratio 27:36 has it flipped around, where the second part is the larger item this time.
Based on this alone, we can see that there's no way that 4:3 is the same as 27:36
--------------
Another way you can look at it is to divide both parts of 27:36 by the GCF 9
27/9 = 336/9 = 4The ratio 27:36 fully reduces to 3:4 and not 4:3. The order matters.
--------------
Or you could go in verse of the previous section. Multiply both parts of 4:3 by 9
9*4 = 369*3 = 27So the ratio 4:3 is equivalent to 36:27 which is not the same as 27:36. Again, the order is important.
--------------
Yet another approach:
Treat the ratios like fractions. If they were equal, then 27/36 = 4/3 would be true.
Cross multiplying leads to 27*3 = 36*4 and that becomes 81 = 144 which is false. So saying 27:36 reduces to 4:3 is also false
Which of the following contains a variable?
A. He scored a 95 on the test.
B. The bug crawled 15 inches per second.
C. The area is 56 square centimeters.
D. Ana is 3 years older than Mark.
Answer:
D. Ana is 3 years older than Mark.
Step-by-step explanation:
We do not know how old Mark is. That is the variable
Can y’all help me out? t^82=?
Answer:
-1
Step-by-step explanation:
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
61.716 seconds (62 if round up is needed)
Step-by-step explanation:
36 / 7 = 5.143
5.143 * 12 = 61.716
PLEASE SOMEONE HELP ME WIT THIS AA
Richie and Justin are doing house renovations for Kirk. Kirk has promised them at least 20 total hours of work per week, but can pay them no more than $1,200 per week of total wages. Richie makes $25 per hour and Justin makes $45 per hour.
Letting x be the number of hours Richie works and y be the number of hours Justin works, write a system of inequalities that models this situation.
If in a given week, Justin and Richie want to both work 15 hours, will this lead to a solution to the system of inequalities? Justify your response.
PLEASE HELP ME THERE IS A IMAGE OF THE PROBLEM IF NEEDED ANY HELP IS APPROPRIATED :)
Answer:
Step-by-step explanation:
a) 1200≥25x+45y
b) YES, because:
1200≥25(15)+45(15)
1200≥375+675
1200≥1050
Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of 2.5 m/s. At what angle should the boat be oriented south, relative to the westward direction, such that the boat will be traveling due west? Round to the nearest degree.
Answer: [tex]24^{\circ}[/tex]
Step-by-step explanation:
Given
River is flowing from south to North with a velocity of [tex]u=1\ m/s[/tex]
Motor boat traverses the river from east to west at a speed of [tex]v=2.5\ m/s[/tex]
South component of boat velocity must compensate the river velocity in order to travel in west direction.
[tex]\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}[/tex]
Which choice is equivalent to the expression below?
-25
Answer:
5i
Step-by-step explanation:
Answer:
5i
Step-by-step explanation:
sqrt( -25)
Rewriting
sqrt( 25 * -1)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(25) sqrt(-1)
We know that sqrt(-1) = i
±5 i
please help me with this
Answer:
4y2 - 12y
Step-by-step explanation:
2+4y-16y+32(Combine like-terms)
2−12y+32(Combine like-terms)
Answer:
The answer is [tex]4y^{2} -12y[/tex]
Step-by-step explanation:
To simplify the polynomial, start by combining like terms. Add [tex]y^{2}[/tex] and [tex]3y^{2}[/tex] to get [tex]4y^{2}[/tex]. Then, subtract [tex]16y[/tex] from [tex]4y[/tex] to get [tex]-12y[/tex]. Finally, the simplified answer is [tex]4y^{2} -12y[/tex].
SP= 328, Profit = Rs 29
[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag. How many more pounds does one of the heaviest bags weigh than one of the lightest bags? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
The answer is "[tex]1\frac{1}{2}[/tex]"
Step-by-step explanation:
Please find the graph file of the question in the attachment.
Its first step is the lightest and heaviest evil. [tex]4 \frac{1}{4}[/tex] is the lightest bag, and [tex]5 \frac34[/tex] is the heaviest bag. To remove it now, it is not permissible to remove it as a mixed fraction, therefore convert each fraction into an improper fraction by multiplying the whole integer to the numerator, then adding a numerator to this amount, multiplied by the numerator. Follow those steps to find out [tex]4 \frac{1}{4}[/tex] is the wrong part.
[tex](4\times 4+1=17) \ so\ 4\frac14=\frac{17}{4}.[/tex] The process is the same for [tex]5 \frac34 (5\times 4+3=23) \ so \ 5 \frac34= \frac{23}{4}.[/tex]
You now deduce the numerator but just not the negative, to deduct both. You subtract, as the question is raised far as[tex]\frac{23}{4}-\frac{17}{4} =\frac{6}{4}[/tex] is involved. The last stage is that this is transformed into blended families, dividing its count by the denominator, 6 divided by 4 is identical to 1.5. 1 is a full amount so you don't modify it, but you do need to change the 5 decimals to [tex]1.5=1 \frac{5}{10}[/tex] and the last step is [tex]1\frac{1}{2}[/tex]to reduce.
6(x – 1) = 9(x + 2)
how do i get this right
Answer:
x = -8
Step-by-step explanation:
6(x – 1) = 9(x + 2)
Add 6 to both sides
6x - 6 + 6 = 9x + 18 + 6
Simplify
6x = 9x + 24
Subtract 9x from both sides
6x - 9x = 9x + 24 - 9x
Simplify
-3x = 24
Divide both sides by: -3
-3x/-3 = 24/-3
Simplify
x = -8
Can someone help me with this math homework please!
Answer:
[tex][-2.5,-2][/tex]
[tex][-2,-1.5][/tex]
[tex][1.5,2][/tex]
[tex][2,2.5][/tex]
------------------------
Hope it helps...
Answer:
B, D, E
Step-by-step explanation:
The values in the answer choices are x-values, meaning on the x-axis.
B: [-2, -1.5]
From -2 to -1.5, the graph goes down from left to right, so it's decreasing.
D: [1.5, 2]
From 1.5 to 2, the graph goes down from left to right, so it's decreasing.
E: [2, 2.5]
From 2 to 2.5, the graph does down from left to right, so it's decreasing.
Hope that helps (●'◡'●)
