Answer:
(x+2)^2+ (y+3)^2= 16
Step-by-step explanation:
Given
Centre(h,k)=(-2,-3)
h= -2
k= -3
Diameter=8 units
To find radius,
r=diameter/2
r= 8/2
r=4 units
The equation for a circle with center at (h,k) and radius r is:
(x-h)^2+ (y-k)^2= r^2
Putting in the values of h,k and r
(x-(-2))^2+ (y-(-3))^2= (4)^2
(x+2)^2+ (y+3)^2= 16
Which equation is in point-slope form for the given point and slope?
Answer: y-7 = 4(x+3), choice B
============================================
Point slope form is generally
y-y1 = m(x-x1)
we have m as the slope and (x1,y1) as the point this line goes through. In this case,
m = 4
(x1,y1) = (-3,7) so x1 = -3 and y1 = 7
So,
y-y1 = m(x-x1)
y - 7 = 4(x - (-3))
y - 7 = 4(x + 3)
which is why choice B is the answer
Point-slope form:
y - y₁ = m(x - x₁) "m" is the slope
Since you know:
m = 4
(x₁ , y₁) = (-3,7)
You can plug it into the equation
y - y₁ = m(x - x₁)
y - 7 = 4(x - (-3))
y - 7 = 4(x + 3)
Your answer is the 2nd choice
Use the dot product to find |v| when v=(-8,2)
Answer:
2√17
Step-by-step explanation:
V = (-8, 2)
|v| = √((-8)^2 + 2^2)
= √(64 + 4)
= √68
= √4* √17
= 2√17
Answer:
= 2 sqrt(17)
Step-by-step explanation:
To find the magnitude of v using the dot product
|v| = sqrt(v1*v1 + v2*v2)
= sqrt( -8*-8 + 2*2)
= sqrt(64+ 4)
= sqrt(68)
= sqrt(4*17)
= sqrt(4) sqrt(17)
= 2 sqrt(17)
What is the growth factor of the following example? Assume time is measured in the units given.
Water usage is increasing by 3% per year.
Answer:
The growth factor is option c. 1.03 per year
Step-by-step explanation:
Growth rate: r = 3% = 3 / 100 → r = 0.03
Growth factor: b = 1+r
Replacing r by 0.03 in the formula above:
b = 1+0.03
b = 1.03
Answer: The growth factor is 1.03 per year
25 POINTS! EXPLAIN FOR BRAINLIEST/THANK YOU.
By the polynomial remainder theorem, a polynomial [tex]p(x)[/tex] has a factor of [tex]x-c[/tex] if [tex]p(c)=0[/tex]. So all you need to do is check the value of [tex]f(x)[/tex] at [tex]x=1,3,-3,5,-5[/tex]. You should get
[tex]f(1)=-96[/tex] (so [tex]x-1[/tex] is NOT a factor)
[tex]f(3)=-96[/tex] (so [tex]x-3[/tex] is NOT a factor)
[tex]f(-3)=f(5)=f(-5)=0[/tex] (so the last three options are factors)
Answer:
the answer is c and yeah
Step-by-step explanation:
On Friday, 537 people attended a play. On Saturday, 812 people attended the same play. About how many more people attended the play on Saturday than on Friday? Hiw did u estimate? Show your work
Answer:
275
Step-by-step explanation:
To find out how many more, we find the difference between the two values. We use the math operation subtraction to find the difference.
Friday had 537 and Saturday had 812. We subtract 812-537= 275.
275 more people attended Saturday than Friday.
Find the next two terms of the sequence: 80, ?40, 20, ?10, ______, ______. A) 20, 40 B) 1 2 , 1 4 C) 5, ? 5 2 D) ?30, ?40
Answer:
5, 5/2
Step-by-step explanation:
80, 40, 20, 10, ______,
80/40 = 2
40/20 = 2
We are dividing by 2 each time
10/2 =5 so the next term is 5
5/2 = 5/2
Ms.Rochelle wants to put her 29 students into groups of 6. How many groups of 6 can she make? If she puts any remaining students in a smaller group, how many students will be in that group?
Answer:
A. 4 groups of 6 students in each group.
B. The smaller group will have 5 students.
Step-by-step explanation:
We have been given that Ms.Rochelle wants to put her 29 students into groups of 6.
A. To find the number of groups of 6 that can be made from 29 students, we will find the greatest multiple of 6 from 29.
Multiples of 6 are: 6, 12, 18, 24, 30, 36,...
We can see that the greatest multiples of 6 in 29 in 24.
[tex]\text{Number of groups that can be made with 29 students}=\frac{24}{6}[/tex]
[tex]\text{Number of groups that can be made with 29 students}=4[/tex]
Therefore, Ms. Rochelle can form 4 groups from 29 students with 6 students in each group.
B. To find the number of students in small group, we will subtract 24 from 29.
[tex]\text{Number of students in the small group}=29-24[/tex]
[tex]\text{Number of students in the small group}=5[/tex]
Therefore, If Ms. Rochelle puts any remaining students in a smaller group, the number of students in smaller group will be 5.
The slope of the line below is-1/7Write a point-slope equation of the line using the coordinates of the labeled point.
Answer:
While you do not have the coordinates included, you can use the point-slope form of the equation and input the slope. This would be:
y - y1 = -1/7(x - x1)
In this equation, simply put the ordered pair in at x1 and y1. This will give you the full point-slope equation.
What is an equation of the line that is parallel to y=4x-1 and that passes through the point (-3,5)?
A. y=4x-3
B. y=4x+5
C. y=4x+17
D. y=-4x+17
Answer:
C. y=4x+17
Step-by-step explanation:
If we want to find a line parallel to y =4x-1, the slopes will have to be the same because parallel lines have the same slope. Knowing y= mx+b we know the slope of the old line is 4, so the slope of the parallel line is 4.
If we know the slope of the line and a point, we can use the point slope form of a line
y-y1 = m(x-x1)
y-5 = 4(x--3)
y-5=4(x+3)
Distribute the 4
y-5 = 4x+12
Add 5 to each side
y-5+5 = 4x+12+5
y = 4x+17
Answer: The answer is C. y=4x+17
Step-by-step explanation:
The other person was correct and i got an A<3
What is the answer to a+b=s+r; r
Answer: " r = a + b - s " .
_____________________________________________________
Step-by-step explanation:
_____________________________________________________
Given:
a + b = s + r ; Solve for: "r" ; that is; rewrite the equation in terms of: " r " .
_____________________________________________________
Subtract "s" from each side of the equation;
to isolate "r" on one side of the equation:
_____________________________________________________
→ a + b - s = s + r - s ;
→ to get:
→ a + b - s = r ;
____________________________________________________
↔ " r = a + b - s " .
____________________________________________________
→ which is the answer.
____________________________________________________
Hope this helps!
Best wishes to you!
____________________________________________________
Consider the scatter plot.
Scatter plot with line of best fit of y equals 0.75x plus five.
The line of best fit is y = 0.75x + 5.
Choose the best representation for the slope.
The slope of the line of best fit shows that each additional minute, the distance increases by 0.75 feet.
The slope of the line of best fit shows that each additional minute, the distance decreases by 5 feet.
The slope of the line of best fit shows that each additional minute, the distance decreases by 0.75 feet.
The slope of the line of best fit shows that each additional minute, the distance increases by 5 feet.
Answer:
The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.
Step-by-step explanation:
We are given a scatter plot with a best fit line as shown on the given graph.
The equation of the best fit line is given by:
y = 0.75x + 5
So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.
Since the distance shown on the y axis is already 5 when the time started at 0 minutes.
How do the graphs of these function compare to one another?
HELPP! Calculate S22 for the arithmetic sequence in which a12=2.4 and the common difference is d=3.4
Answer:
S22 for the arithmetic sequence is:
First option: 15.4
Step-by-step explanation:
a12=2.4
d=3.4
S22=?
Sn=(a1+an)n/2
n=22
S22=(a1+a22)22/2
S22=(a1+a22)11
ak=aj+(k-j)d
a12=a1+(12-1)d
2.4=a1+11(3.4)
2.4=a1+37.4
Solving for a1: Subtracting 37.4 both sides of the equation:
2.4-37.4=a1+37.4-37.4
Subtracting:
-35=a1
a1=-35
a22=a12+(22-12)d
a22=2.4+10(3.4)
a22=2.4+34
a22=36.4
S22=(a1+a22)11
S22=(-35+36.4)11
S22=(1.4)11
S22=15.4
find the sum of the geometric series. 14-7+(7/2)-(7/4)+
Algebraic Expressions Write each phrase as an algebraic expression. 5 subtracted from y
Find X
I have no idea how to make it
Answer: 5
Step-by-step explanation:
The length of the midsegment is one-half the length of the base. So,
Base = 2(midsegment)
7x + 1 = 2(4x - 2)
7x + 1 = 8x - 4
1 = x - 4
5 = x
Kris has a box of 8 crayons. Silvia, s box has 6 times of many crayons as Kris box . How many crayons are in sylvia box
how do you do this? solve for b1
[tex]\dfrac{1}{2}h(b_1+b_2)=A\qquad\text{multiply both sides by 2}\\\\h(b_1+b_2)=2A\qquad\text{divide both sides by }\ h\neq0\\\\b_1+b_2=\dfrac{2A}{h}\qquad\text{subtract}\ b_2\ \text{from both sides}\\\\\boxed{b_1=\dfrac{2A}{h}-b_2}\to\boxed{F.}[/tex]
There are 64 pretzels in a 16-ounce bag of chocolate covered pretezel. What is the rate of pretzels per ounce?
The value of x is 12.
Answer: False
Step-by-step explanation:
45-45-90 is a special triangle because there is a specific relationship between the legs and the hypotenuse: a - a - a√2
So, If the leg of the 45-45-90 triangle is 12, then the hypotenuse (labeled as x in your drawing) will be 12√2.
Jim drank 2/5 of his water bottle and John drank 3/10 of his water bottle. How much did the both boys drink?
HELP!!!!!! I believe its B but I am not sure! :(
Answer:
A
Step-by-step explanation:
When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.
[tex]e^{4x-1} =3[/tex]
We begin by applying the natural logarithm to each side.
[tex]ln(e^{4x-1}) =ln(3)[/tex]
Log rules allow use to rearrange the exponent as multiplication in front of the log.
[tex](4x-1)ln(e) =ln(3)[/tex]
ln e as an inverse simplifies to 1.
[tex](4x-1)(1)=ln(3)[/tex]
We now apply the inverse operations for subtraction and multiplication.
[tex]4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}[/tex]
Option A is correct.
Can someone help me with these please?
Point-slope form: y-y1 = m(x-x1)
Standard form: ax + by = c
Slope-intercept form: y = mx+b
Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.
To create point-slope form, we need to get one point from the graph. Let's use (3,0).
[tex]y = -\frac{4}{3}(x-3)[/tex]
To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.
[tex]y = -\frac{4}{3}x + 4[/tex]
To get standard form, solve the equation in terms of C.
Point-slope form: y = -4/3(x-3)
Slope-intercept form: y = -4/3x + 4
Standard form: 4/3x + y = 4
List the first four terms of a geometric sequence with t 1 = 4 and t n = -3t n-1 .
[tex]t_1=4\\t_n=-3t_{n-1}\\\\t_2=-3\cdot4=-12\\t_3=-3\cdot(-12)=36\\t_4=-3\cdot36=-108[/tex]
Solve 14.2 divided by 0.5 dhow your work and explain how you new where thr decamal point whas going to be
Final answer:
To solve the division problem 14.2 divided by 0.5, you can use the long division method. The quotient is 28.4.
Explanation:
To solve the division problem 14.2 divided by 0.5, we can perform the long division method. Here's the step-by-step process:
Place the dividend, 14.2, inside the division bar.Place the divisor, 0.5, outside the division bar.Divide the first digit of the dividend, which is 1, by the divisor. The result is 2.Write down the quotient, 2, above the division bar.Multiply the quotient, 2, by the divisor, 0.5, which gives you 1.Subtract the product, 1, from the first digit of the dividend, 1, which gives you a remainder of 0.Bring down the next digit, which is 4, from the dividend.Divide the new dividend, 4, by the divisor, 0.5. The result is 8.Write down the new quotient, 8, next to the previous quotient.Multiply the new quotient, 8, by the divisor, 0.5, which gives you 4.Subtract the product, 4, from the new dividend, 4, which gives you a remainder of 0.Since there is no remainder anymore, the division is complete. The final quotient is 28.4. Therefore, 14.2 divided by 0.5 is equal to 28.4.
If U = {natural numbers less than 20} and N = {factors of 18}, what is N
This is from the answer key to this question;
N= {4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19.}
Someone help me please 30 points
Answer:4.-37 5.-6 6.-33 11.-20 12.-16
13.19
Step-by-step explanation:
Answer:
1. -41
2. -40
3. -4
4. -37
5. -24
6. -33
8. -47
9. 14
10. 59
11. -20
12. -16
13. 19
Need help fast please
Answer:
13. The slope for a line that is perpendicular to the line y=4x+8 is -1/4
14. The slope for a line that is perpendicular to the line x=-6 is 0
15. The equation for a line that is perpendicular to the line 8x-4y=12 and passes through the origin is y = - (1/2) x
16. The equation for a line that is perpendicular to the line y=-(1/3)x and passes through the point (0,-10) is y=3x-10
Step-by-step explanation:
13. What is the slope for a line that is perpendicular to the line y=4x+8?
y=mx+b
Comparing with the form slope-intercept, the slope of the given line is the coefficient of x, then the slope of the given line is 4.
A line perpendicular to y=4x+8 must have a slope opposite and inverse, then:
Slope of the perpendicular = - 1/4
14. What is the slope for a line that is perpendicular to the line x=-6?
The line x=-6 is a vertical line. A line perpendicular to the line x=-6 must be a horizontal line (Angle=0°), then:
Slope of the perpendicular = tan Angle = tan 0° = 0
15. Write the equation for a line that is perpendicular to the line 8x-4y=12 and passes through the origin.
8x-4y=12
Isolating y: Subtracting 8x both sides of the equation:
8x-4y-8x=12-8x
-4y=-8x+12
Dividing all the terms by -4:
-4y/(-4)= -8x/(-4)+12/(-4)
y=2x-3
The slope of the given line is 2
The slope of the perpendicular is m=-1/2 (opposite and inverse to the slope of the given line)
The perpendicular passes through the origin:
P1=(0,0)=(x1,y1)→x1=0, y1=0
Using the equation point - slope:
y-y1=m(x-x1)
Replacing the known values:
y-0=(-1/2)(x-0)
y=(-1/2)x
16. Write an equation for a line that is perpendicular to the line y=-(1/3)x and passes through the point (0,-10).
The slope of the given line is -(1/3)
The slope of the perpendicular is m=3/1→m=3 (opposite and inverse to the slope of the given line)
The perpendicular passes through the point:
P1=(0,-10)=(x1,y1)→x1=0, y1=-10
Using the equation point - slope:
y-y1=m(x-x1)
Replacing the known values:
y-(-10)=3(x-0)
y+10=3x
Isolating y: Subtracting 10 both sides of the equation:
y+10-10=3x-10
y=3x-10
Justin's rice ball recipe uses 100 grams of rice to make 11 rice ball. Justin has 700grams of rice. How many rice balls can Justin make with 700 grams of rice?
Answer: I TINK 77 rice balls
Step-by-step explanation:
Answer:77
Step-by-step explanation:
In triangle LNP, R is the centroid and LO = 30. Find LR and RO. Enter the answers as numbers.
Answer:
[tex]|LR|=20[/tex]
[tex]|RO|=10[/tex]
Step-by-step explanation:
The centroid divides the median in the ratio [tex]2:1[/tex].
Thus [tex]|LR|:|RO|=2:1[/tex]
This implies that,
[tex]|LO|:|RO|=3:1[/tex]
We were given that,
[tex]|LO|=30[/tex]
We substitute this value to obtain,
[tex]30:|RO|=3:1[/tex]
or
[tex]\frac{30}{|RO|}=\frac{3}{1}[/tex]
We cross multiply to get,
[tex]3|RO|=30\times 1[/tex]
We divide through by 3, to get,
[tex]|RO|=10[/tex]
We can observe from the diagram that
[tex]|LR|+|RO|=|LO|[/tex]
[tex]|LR|+10=30[/tex]
[tex]|LR|=30-10[/tex]
[tex]|LR|=20[/tex]