9514 1404 393
Answer:
(b) (x – 4)^2 + (y – 6)^2 = 16
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You want the equation for a circle with center (4, 6) and radius 4. That equation is ...
(x -4)^2 +(y -6)^2 = 16
Answer:
B; (x – 4)2 + (y – 6)2 = 16
Step-by-step explanation:
correct on edge
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle. what is the measure of the first angle?
Answer:
The measure of the first angle is 50°.
Step-by-step explanation:
Let the three angles be a, b, and c.
The measure of the first angle is twice the measure of the second angle. In other words:
[tex]a=2b[/tex]
The measure of the third angle is 80° more than the measure of the second angle. In other words:
[tex]c=b+80[/tex]
And since the interior angles of a triangle must equal 180°:
[tex]a+b+c=180[/tex]
Substitute a and c:
[tex](2b)+b+(b+80)=180[/tex]
Combine like terms:
[tex]4b+80=180[/tex]
Subtract 80 from both sides:
[tex]4b=100[/tex]
And divide both sides by four:
[tex]b=25^\circ[/tex]
So, the measure of the second angle is 25°.
Since the measure of the first is twice the second, the measure of the first angle is 50°.
(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)
John shot 30 baskets in 5 minutes. At this rate how many minutes will it take him to shoot 90 baskets? What are the 2 units you are comparing?
Ans5 and 2
Step-by-step explanation:
Which is the decimal expansion of the following 1/5
Answer:
Decimal expansion of 1/5 = 0.2
In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
contain a cuckoo egg. If three passerine nests are checked, what is the probability that
at least two of them contain a cuckoo egg?
Answer:
Probability of at least two cuckoo eggs is 0.738.
Step-by-step explanation:
probability of cuckoo egg = 0.1
probability of not a cuckoo egg = 1 - 0.1 = 0.9
Probability of at least two cuckoo eggs is
= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +
probability of three cuckoo eggs
= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9
= 0.009 + 0.729
= 0.738
What is the y-intercept of the graph of y = 2.5'?
a. 2.5
b. 1
0
d. -1
ME
Please select the best answer from the choices provided
ОА
ОВ
what is the largest number in the form x987yz that is divisible by 12?
Answer:
998796
Step-by-step explanation:
For a number to be divisible by 12. it must be divisible by 3 and 4
Since we need the largest 6 digit number, we will take x = 9
So the number is 9987yz
Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.
Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.
So, yz = 96
Therefore , the largest number in the form will be : 998796
Answer:
The largest number is 998796
------------------------------------------------------
The largest digit you could use is 9 so, our number would be, 998799,
but the thing is that it's not divisible by 12.
The next largest would be 8. (998798) Not divisible.
7, so our number would be, 998797. Not divisible.
6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796
Please correct me if I'm wrong.
2 1/3 - (-5) =
what does it equal
Answer:
7 1/3
Step-by-step explanation:
See image below:)
What is the equation of the line in slope-intercept form?
Answer:
2) y=-3x+36
Step-by-step explanation:
Hi there!
We're given a graph and we want to find the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We'll need two points, so pick any two from the graph
For example, let's do (0,36) and (12,0)
first let's find the slope
The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we'll be using (0,36) and (12,0)
let's label the points to avoid any confusion
x1=0
y1=36
x2=12
y2=0
Now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(0-36)/(12-0)
m=-36/12
m=-3
so the slope is -3
here's the equation so far:
y=-3x+b
we need to find b
The equation of the line will pass through both (0,36) and (12,0) so we can use either one of them to solve for b
let's take (12,0) for example
substitute 12 as x and 0 as y
0=-3(12)+b
multiply
0=-36+b
add 36 to both sides to isolate b
36=b
now substitute 36 as b into the equation
y=-3x+36
There's the equation of the line, so the answer is option 2
Hope this helps!
Solve the system of equation y = -2+5
y = x^2 + 3x + 9
Answer:
9 is y
Step-by-step explanation:
Which of the following expressions are equivalent to -8-(-1)-5? Pick two answers.
OPTION B and E are the correct answers.
Answer:
B & E
Step-by-step explanation:
Main Expression: - 8 - ( - 1 ) - 5 = - 7 - 5 = - 12
A: - 8 - 1 - 5 = - 9 - 5 = - 14
B: - 8 + 1 - 5 = - 7 - 5 = - 12
C: - 8 + ( - 1 ) + ( - 5 ) = - 9 + ( - 5 ) = - 14
D: ( 8 + 1 ) - 5 = 9 + 5 = 14
E: - ( 8 - 1 + 5 ) = - ( 7 + 5 ) = - ( 12 ) = - 12
Hope this helps!
Select the correct answer. How does the risk of needing insurance impact the cost of premlums? А. In some cases, higher risk results in lower costs. B. Higher risk always results in lower costs.
C. Higher risk always results in higher costs.
D In some cases, higher risk results in higher costs.
Answer:
A
Step-by-step explanation:
(Will mark brainlest ) help me to find the value of x or theta (step by step)
Answer:
X = 6
Step-by-step explanation:
sin○ = opposite side/hypotenuse
sin 45 = 3 root2/x
1/root2 = 3 root2/x
x = 3 × 2
x = 6
Answer:
x=6 cm
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 =opposite/hypotenuse
[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]
do cross multiplication
[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]
x=6
Can any one help?
Solve the following equations:
Answer:
2- x=16/3 or 5.3
4- x=8
Step-by-step explanation:
yeah
Can someone please help me?
Answer:
A
Step-by-step explanation:
to find the inverse, there are two steps
1-interchange x and y
2-solve for y
so y=x+1/x
interchange to get x=y+1/y
and solving for y we multiply both sides by y to get xy=y+1
subtract both sides by y yielding xy-y=1
factor out y to get y(x-1)=1
then divide to get y=1/x-1
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?
Answer:
49200
114800
32800
Step-by-step explanation:
196800/12=ans
ans * 3
ans * 7
ans * 2
One side of a triangle is 3 times longer than the shortest side and the third side is 4 centimeters longer than the shortest side. The perimeter of the triangle is 64.
How long is the shortest side of the triangle?
Answer:
First side is: 12cm
Second side is: 36cm
Third side is: 16cm
Step-by-step explanation:
Let x represent the shorter side
Then 3x represents the second side, and
x + 4 represents the third side.
Perimeter of three sides:
P = x + 3x + (x + 4)
Perimeter is 64, so
64 = x + 3x + (x + 4)
64 = 5x + 4
60 = 5x
12 = x
First side is x: 12cm
Second side is 3x: 3(12) = 36cm
Third side is x + 4: 12 + 4 = 16cm
What is the image point of (1,-7) after the transformation T-3,-1 degrees R180 degrees?
Answer:
first hust rotate 180 and next reflect it over x axis.
the given point (-7,3) id in second quadrant but after rotation it will be in fourth quadrant.
afterwards you have to refect that point over x-axis which gives you the image of the points on first quadrant ie. (7,1).
You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are both tens?
Answer: I think its 4%
Step-by-step explanation: 3+4=7 7/2=3.5
Answer:
1/14
Step-by-step explanation:
Is my answer correct?
9514 1404 393
Answer:
yes
Step-by-step explanation:
By the "rule of 72", the amount will be doubled in 72/I years, where I is the annual interest rate in percent. That is, it can be estimated to take 72/4 = 18 years to double the $240 investment to $480. It would take another 18 years to double it again to $960. So, to achieve a balance of $1500 will be expected to take more than 36 years. The only reasonable answer choice is the one you have selected.
__
The exact solution is ...
log (1500/240)/log(1 +0.04) ≈ 46.72 years ≈ 47 years.
Researchers at a medical school conducted a study to test the effectiveness of a new drug for lowering cholesterol. The 52 subjects who volunteered for the study were each given a randomly generated number. Subjects with an odd number were given the new drug, while those with an even number were given a placebo. Cholesterol levels before and after the treatment were measured for each subject, and the differences were computed.
This study is an example of ______________ study. The difference in cholesterol level is _____________ the variable. The treatment with drug or placebo is the ____________ variable.
Answer:
1. An Experimental
2. Dependent
3. Independent
Step-by-step explanation:
Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol
The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.
The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.
The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle
1. (12,12) (6,7) (24,3)
2. (4,12) (6,21) (8,0)
3. (12,4) (18,7) (24,0)
4. (12,12) (18,21) (24,0)
Answer:
(12, 12), (18, 21), (24, 0)
Step-by-step explanation:
To dilate a figure, you multiple each of the numbers in its coordinates by the scale factor.
The vertices of the new triangle is:
4. (12,12) (18,21) (24,0)
What are the vertices of the new triangle?We have:
The vertices of a triangle: (4, 4) (6,7) and (8,0)
We dilate the triangle by a scale factor of 3
To find the vertices of the new triangle after a dilation of 3, multiply the old vertices by 3. That is:
3 * (4, 4) => (12, 12)
3 * (6, 7) => (18, 21)
3 * (8,0) => (24, 0)
Therefore, the vertices of the new triangle is (12,12) (18,21) (24,0)
Learn more about dilation on:
brainly.com/question/28956841
#SPJ3
please answer this. i’m so confused
Answer:
1
Step-by-step explanation:
All sides have to be congruent making option 1 correct
~ LadyBrain
Which measure of central tendency best describes the data set below?
{0, 80, 85, 88, 90, 95}
A. the mean, 73
B. the mode, none
C. the range, 95
D. the median, 86.5
Answer:
The correct answer would be D, the median 86.5. In this set of data most of the values are in the 80's or 90's.
Step-by-step explanation:
d point is the answer
Answer:
D) The median, 86.5
Step-by-step explanation:
Most of the data is clustered in the 80s. Therefore, D is correct.
7. Solve for b.
b
26°
Answer:
64°
Step-by-step explanation:
We know that a right angle is 90°
so we do 90° - 26° = 64°
Evaluate: (ƒ − g)(−2)
From the graph,
f(-2) = 0
and, g(-2) = 0
(ƒ − g)(−2)= f(-2)-g(-2) = 0
OPTION B is the correct answer
An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=500−16t^2. Express t as a function of height h, and find the time to reach a height of 100 feet
Step-by-step explanation:
the answer is in the above image
Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12
Answer:
[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]
Someone please help me?
The height of a triangle is 8 m more than twice the length of the base . The area of the triangle is 21 m^2 find the height of the triangle
Answer:12
Step-by-step explanation:cumquat
What is the solution for
X+2y=9 2x+4y=20
Answer:
No solution
Step-by-step explanation:
x + 2y = 9
x = - 2y + 9
2x + 4y = 20
2(-2y + 9) + 4y = 20
-4y + 18 + 4y = 20
-4y + 4y = 20 - 18
0 = 2
( No solution)
