Considering the given equation of the circle, the true statements are given as follows:
The radius of the circle is of 3 units.The center of the circle lies on the x-axis.The circle has the same radius as the circle with equation x² + y² = 9.What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The equation given is:
x2 + y² - 2x - 8 = 0.
Completing the squares, the equation is given as follows:
(x - 1)² + y² = 8 + 1
(x - 1)² + y² = 9.
Researching the problem on the internet, the true statements are:
The radius of the circle is of 3 units.The center of the circle lies on the x-axis([tex]y_0 = 0[/tex]).The circle has the same radius as the circle with equation x² + y² = 9.More can be learned about the equation of a circle at https://brainly.com/question/24307696
#SPJ1
Find m∠1. lol yeah that's it
The two inside angles add up to the external angle's total. The m∠1 will be 69°. Option D is correct.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
From the exterior angle property, the sum of the exterior angle is the sum of the two interior angles.
The m∠1 will be 69°.
Hence, option D is correct.
To learn more about the angle measurement, refer to the link;
https://brainly.com/question/14684647
#SPJ1
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x 8, and what does it mean about the number of real solutions the equation has?
The value of discriminant [tex]b^{2} -4ac[/tex] of the equation [tex]-2x^{2} -3x+8=0[/tex] is equal to 73.
Given equation [tex]-2x^{2} -3x+8=0[/tex] and we have to find the value of determinant and the number of roots of the equation.
Determinant is the quantity that depends on the coefficients of variables.
To find out the value of determinant we have to put the values in [tex]b^{2} -4ac[/tex] in which b=-3, a=-2 and c=8
[tex]b^{2} -4ac[/tex]=[tex]-3^{2} -4*(-2)*8[/tex]
=9+8*8
=9+64
=73
And because the value of discriminant is one so the number of real solution that [tex]-2x^{2} -3x+8=0[/tex] is 2. If the discriminant is equal to zero then there is exactly one real root.
Hence the value of determinant of the equation [tex]-2x^{2} -3x+8=0[/tex] is 73.
Learn more about discriminant at https://brainly.com/question/2507588
#SPJ4
Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg, and the average cost of gas last year was $2.95 per gallon. Determine Yosef's average weekly fuel cost
Yosef's average weekly fuel cost would be $2537.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg.
Karla used 12900/15 = 860 gallons to drive 12900 miles.
The average cost of gas last year was $2.95 per gallon.
Therefore, Yosef's average weekly fuel cost would be
2.95 x 860 = $2537
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ1
Which point is a solution to the inequality shown in this graph?
find the value of x in the following parallegram 2x-10 2x+50
The value of x would be 35.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
In order to calculate the value of x in the parallelogram, we have to find the following;
Let ∠m = 2x - 10
∠n = 2x + 50
So, ∠m + ∠n = 180
2x-10 + 2x+50 = 180
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 35
Hence, the value of x is 35.
Learn more about parallelogram;
https://brainly.com/question/473016
#SPJ1
.7bar8 into a fraction in simplest form
The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A fraction in its simplest terms is given as a/b, where a is the numerator and b is the denominator.
Hence:
0.7 / 8 = 7 / 80
The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
The graph of a function g is shown below
Answer:
(a) x = 0
(b) g(2) = -5
Step-by-step explanation:
Another way of representing g(x) is with the variable "y". In other words, the value of g(x) is the value on the y-axis (vertical axis).
(a) The question is asking you to give the "x" value when the line crosses y = -4. The only value which satisfies this is x = 0.
(b) When 2 is placed inside the parentheses of g(x), it is asking you to find the "y" value of the line at x = 2. The only value which satisfies this is y = -5.
What are the two most important characteristics of a geographical data set that must be known before any analysis can be done
Pleaseeeee helppppp asap
This shows that the food will only last 1 1/3 meals
Fractions and proportionsFractions are written as a ratio of two integers. Given the following
Total pounds of food bought = 24 pounds
Amount fed each per meal = 3/4 * 24 pounds = 18 pounds
Remains = 24 - 18
Remaining = 6 pounds
This shows that the food will only last 1 1/3 meals
Learn more on proportion here: https://brainly.com/question/19994681
#SPJ1
The sum of the measures of two alternate angles of two parallel lines is 210°. Find the two angles. (they are two answers) (one of them is not 75 degrees
The measure of the angles are 105 degrees
How to determine the angles?The sum of the angles is given as 210 degree
Alternate angles are equal.
So, we have:
x + x = 210
This gives
2x = 210
Divide by 2
x = 105
Hence, the measure of the angles are 105 degrees
Read more about alternate angles at:
https://brainly.com/question/11177597
#SPJ1
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
The solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Inequality expressionInequalities are equations that are separated by an equal sign. Given the inequality expression
3(8 – 4x) < 6(x – 5)
Expand
3(8) - 3(4x) < 6x - 6(5)
24 - 12x < 6x - 30
Collect the like terms
-12x - 6x < -30 - 24
-18x < -54
x > 3
Hence the solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Learn more on inequality here: https://brainly.com/question/11613554
#SPJ1
Write an equation for the ellipse centered at the origin with a major axis 14 units long with co-vertices at (2, 0) and (-2, 0).
a. x^2/14 + y^2/8 = 1
b. x^4/2 + y^4/49 = 1
c. x^2/4 + y^2/49 = 1
d. x^2/7 + y^2/2 = 1
The equation for the ellipse centered at the origin is C. x²/4 + y²/49 = 1.
How to illustrate the information?Let the equation of the ellipse be:
x²/b² + y²/a² = 1
The co vertices are at (2, 0) and (-2, 0). The major axis is 14 units. Therefore, 2a = 14. This implies that a = 7 and a² = 7 × 7 = 49.
Therefore, since x²/b² + y²/a² = 1, this will be x²/4 + y²/49 = 1.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
The function y=-x-3 is graphed only over the domain of (x1-8≤x≤ 8). What is the range of the graph?
O (v1-5≤ y ≤5)
O y 1-5 ≤ y ≤-1}
O (y|1 ≤ y ≤5}
Oy|1 ≤ y ≤-1)
Answer:
B) [tex]-5\leq y\leq -1[/tex]
Step-by-step explanation:
The range is the lowest point to the highest point on the graph.
Remember this:
1. domain (x-axis) LEFT –> RIGHT
2. range BOTTOM (y-axis) –> TOP
when this equation is graphed over the domain, it limits the range to being (8,–5) and (–8,–1) and since with range you only look at the y-coordinates that means that the range is [–5,–1]
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-7, -8) and ( -4,0)
Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex] which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get
[tex]\sqrt{(-7 - (-4))^2 + (-8 - 0)^2}\\\sqrt{(-3)^2 + (-8)^2}\\\sqrt{9 + 64}\\\sqrt{73}\\distance \approx 8.5[/tex]
On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime C prime.
Use the figure to identify the correct rule for the translation.
(x, y) Right-arrow (x – 3, y + 4)
(x, y) Right-arrow (x + 3, y – 4)
(x, y) Right-arrow (x – 4, y + 3)
(x, y) Right-arrow (x + 4, y – 3)
In accordance with the definitions of rigid transformation and translation, the correct rule for the translation is defined by (x, y) → (x - 3, y + 4). (Right choice: A)
How to derive the mathematic expression behind a transformation rule
Mathematically speaking, transformations are rigid transformations that are modelled according to the following formula:
P'(x, y) = P(x, y) + (h, k) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointh - Horizontal rightward translationk - Vertical upward translationHence, a leftward translation indicates that h < 0. The correct rule for the translation is defined by (x, y) → (x - 3, y + 4).
To learn more on translations: https://brainly.com/question/17152175
#SPJ1
Answer:
a
Step-by-step explanation:
the picture
Which statement is true?
Answer:
can't see anything in this photo because this photo is not clear
( 64 ) -2/3 x ( 27 ) -2/3
When the birth rate in a population is greater than the death rate, the population will generally __________.
1. none of the choices
2. decrease
3. increase
4. not change
Answer:
3. Increase
Step-by-step explanation:
If more people are being born compared to the number of deaths, then you have population growth.
Answer:
3. increase
Explanation:
When birth rate is higher than the death rate, it is called natural increase.
The formula for natural increase is:
[tex]natural \space\ increase = \frac{Crude \space\ Birth \space\ Rate \space\ - \space\ Crude \space\ Death \space\ Rate}{100}[/tex]
Can y’all help me out with this one I didn’t do it right igs
Step-by-step explanation:
We have a dilation because we are multiplying the pre image by some constant,
Since dilations doesn't preserve side length, they are a non rigid motion.
According to the rule, we multiply the x values by 3 and the y values by 2.
So our new points are
A'(9,10)
B'(15,6)
C'(6,4)
A machine fills bags with sweets.
There are 4275 sweets.
There are 28 sweets in each full bag.
The machine fills as many bags as possible.
How many sweets are left?
Answer:
19
Step-by-step explanation:
Given:
Total number of sweets = 4275Number of sweets per full bag = 28To find how many full bags of sweets the machine can fill, divide the total number of sweets by the number of sweets per full bag:
⇒ 4275 ÷ 28 = 152.6785714...
Therefore, the machine can fill 152 full bags.
To calculate how many sweets are left, subtract the product of the number of full bags and the number of sweets per bag from the total number of sweets:
⇒ 4275 - (152 · 28)
⇒ 4275 - 4256
⇒ 19
Therefore, there are 19 sweets left after the machine has filled as many bags as possible.
What is 7/15 turned into a decimal
Answer:
7 ÷ 15 = 0.46666666666667
Step-by-step explanation:
Answer:
0.47
Step-by-step explanation:
To turn any fraction into a decimal, we must simply divide the numerator by the denominator. 7 divided by 15 is equal to 0.466666...
If we round this number to the nearest hundredth, we get 0.47.
What is cos (A)?
Pls help!!
The measure of one a cite angle of a right triangle is 6 less than twice the measure of the other acute angle find the measure of each acute angle . Help quickly please
Answer:
32°, 58°
Step-by-step explanation:
Let one acute angle measure x.
The other acute angle measures 2x - 6.
The sum of the measures of the acute angles of a right triangle is 90.
x + 2x - 6 = 90
3x - 6 = 90
3x = 96
x = 32
2x - 6 = 2(32) - 6 = 58
Answer: 32°, 58°
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.m. to 3:00 p.m., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour?
3,409.6 steps
3,409.ModifyingAbove 6 with bar steps
4,091.6 steps
4.091.ModifyingAbove 6 with bar steps
The number of steps that Julissa walked each hour is 3409.6 steps per hour.
How to calculate the number of hours?According to this question, Julissa works in the warehouse of a large online retailer. She walked 20,458 steps on Tuesday from 9:00 a.m. to 3:00 p.m.
9:00 a.m to 3:00pm is 6 hours difference. This means that Julissa walked 20,458 steps in 6 hours.
Therefore, Julissa walked 20,458 steps ÷ 6 = 3409.6 steps per hour.
Learn more about number of hours at: https://brainly.com/question/20164946
#SPJ1
Answer:
it's A
Step-by-step explanation:
B
B
A
A'
D
D'
m
Consider the reflection of the trapezoid across the line
of reflection, m.
The angles of trapezoid ABCD are
the angles of trapezoid A'B'C'D'.
The side lengths of trapezoid ABCD are
A'B'C'D'.
the side lengths of trapezoid
the line segments
The line m ist
connecting the corresponding vertices of the two
trapezoids.
Transformation is a process in which the size and/or orientation of a given figure are/is adjusted. The appropriate answers are:
i. equal to
ii. congruent to
iii. the same distance to
Transformation is the process required to either increase or decrease the size of a given shape, or change the orientation of a given shape. The methods of transformation are dilation, reflection, rotation, and translation.
Dilation is the method required in resizing the size of a given figure.Reflection is a method required in flipping a given figure about a reference point or line.Rotation is a method that involves turning a given shape about a line or shape.Translation involves moving all points on a given figure in a specific direction.Thus the required statements to complete the reflection across a line as required in the question are:
i. equal to
ii. congruent to
iii. the same distance to
For further clarifications on properties of reflection, visit: https://brainly.com/question/14783517
#SPJ1
what is the length of DE?
Ly has 3 more dime than nickels and twice as many quarters than dimes. the value of his coins is $9.60. how many of each coin does he have?
Ly has 15 dimes, 12 nickels and 30 quarters given that he has 3 more dime than nickels and twice as many quarters than dimes and the value of these coins is $9.60. This can be obtained by giving variables to each represent the number of each coin and adding the values to equate with the total value of coins.
How many of each coin does he have?Let number of dimes be y
Given that,
3 more dime than nickels ⇒ Number of nickel = y - 3
twice as many quarters than dimes ⇒ Number of quarters = 2y
Value of one dime = $ 0.1 Value of one nickel = $ 0.05Value of one quarter = $ 0.259.60 = 0.1y + 0.05(y-3) + 0.25(2y)
9.60 = 0.1y + 0.05y - 0.15 + 0.5y
9.60 = 0.1y + 0.05y - 0.15 + 0.5y
9.60 + 0.15 = 0.65y
y = 9.75/0.65 = 15
y = 15
Therefore the number of each coin,
Number of dimes = y = 15Number of nickel = y - 3 =15-3 = 12Number of quarters = 2y =2×15 =30Hence Ly has 15 dimes, 12 nickels and 30 quarters given that he has 3 more dime than nickels and twice as many quarters than dimes and the value of these coins is $9.60.
Learn more about solving algebraic expressions here:
brainly.com/question/17334356
#SPJ4
Find the missing side the side of the triangle help
Answer: X = 12.1 units
Step-by-step explanation:
Solving the side x of the triangle just requires the Pythagorean theorem.
x^2 + 7^2 = 14^2
x^2 + 49 = 196
subtract 49 on both sides, to cancel the 49 on the left side.
x^2 = 147 units
extract the square root of each side.
X = 12.1 units
Hope I Helped!
Please help will mark brainliest
Answer: y = -2/3x+23/3
Step-by-step explanation:
Parallel is the key point here. They gave points (7,3), 7 is the x value, 3 is the y value.
Take your equation
y = -2/3x+3 and substitute the 7 for the x value and 3 for the y value.
Like this...
3 = -2/3(7)+b
3 = -14/3 +b
Add 14/3 to 3
The answer is 23/3
So y = -2/3x+ 23/3
***Don't change -2/3 because it's asking for parallel***
***If 2 lines are parallel their slopes are equal***
Question 6 of 18
Solve px + 17 = 12 for x.
A. x=p-5
B. x = -5-p
O C. x=
29
p
O D. X--500
Answer:
x = - [tex]\frac{5}{p}[/tex]
Step-by-step explanation:
px + 17 = 12 ( subtract 17 from both sides )
px = - 5 ( isolate x by dividing both sides by p )
x = [tex]\frac{-5}{p}[/tex] = - [tex]\frac{5}{p}[/tex]