Answer:
k = 2
Step-by-step explanation:
We'll need the Midpoint Formula: the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]. In other words, average the x's, then average the y's.
The midpoint of a diameter is the centre of the circle!
The midpoint of the segment joining (-3, 2k) and (5, k) is
[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]
That last expression is the centre of the circle; it is the same as (1, 3).
[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]
What is the quadratic equation whose roots are 2 and 6, and whose leading coefficient is 5
Answer:
5x^2-8x + 12
Step-by-step explanation:
the formula for finding roots of equation is
x^2- (sum of roots)x + products of roots =0
and we already have the roots of the equation
so we add them to give 8
and multiply to give 12
hence the quadratic equation that has those roots with leading coefficient is 5x^2-8x + 12=0
which expression is equivalent to 12^-5 times 12^9?
a. 1/12^-45
b. 12^-45
c. 1/12^4
d. 1/12^-4
Answer:
D. 1/12^-4
Step-by-step explanation:
[tex]12^{-5}*12^{9}[/tex]
Since both exponents have the same base, we can add the exponents to get:
[tex]12^{-5+9}=12^{4}[/tex]
We can cross out A and B since they multiplied the two exponents, therefore both answers are wrong.
Now, let's try C and D.
C is wrong because it has a different base being raised to the same power.
D is correct. When you have a negative exponent, it is equivalent to the reciprocal of the base to the positive exponent.
The reciprocal of 1/12 is 12, and the positive of -4 is 4, therefore the answer is D.
Answer:
12^14
Step-by-step explanation:
It's the correct answer
For which value or values are the expressions 15 k+9 and 3(2k+3)+9k
Answer:
3(5k+3), 6k+9+27k
Step-by-step explanation:
You pick a card at random, put it back, and then pick another card at random.
2
3
4
5
What is the probability of picking a 3 and then picking a 3?
Answer:
0%
Step-by-step explanation:
Don't quote me on that but I'm pretty sure
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
Can't see answer it's blank
Step-by-step explanation:
f(x) = x2 + 12x +32
Find the roots of the function
Answer: Evaluate
Step-by-step explanation:
Patrick managed to sell the 20th most bicycles last year of all the salespeople at the company.He also managed to sell the 20th least bicycles last year of all the salespeople at that company.How many salespeople were there at that company?Assume that no one sold the same number of bicycles than another
definitely missing a number so it's prolly something like
a/20=20
sorry if this doesn't help you didn't give us much to work on
Write the function represented by the table in f (x) = a • b ^x form.
Answer:
[tex]f(x)=32(1.3)^x[/tex]
Step-by-step explanation:
Here, the growth factor is 1.3 since 32(1.3)=41.6, 41.6(1.3)=54.08, and so on.
Therefore, the function that represents the table is [tex]f(x)=32(1.3)^x[/tex]
#5 Solve the equation
below. Show all of your
work.
P-9= 13.52
Answer:
Try 22.52.
Step-by-step explanation:
P-9=13.52
-9+9 (Cancels)
13.52+9= 22.52
22.52-9= 13.52
2) (Four students in a class do not have any siblings. This is 20% of the entire class.
How many students are in the class? HELPPP I HAVE A TEST TOMORROW THIS IS a test ) “solving percent with double number lines and mental math”
Answer:
16 students
Step-by-step explanation:
Knowing that 4 is 20% of a certain number is a great start. Think, how many times does 20 go into 100, 4. So then you multiply 4 with 4.
4 · 4 = 16
someone please help with this question :)!
B
a
A
b
Find the missing side c if Angle B -45 and side a=13
Round your answer to the nearest hundredth if necessary.
help help help help help help help
1- 1 1/2
2- 5.3
3- t=5
t=15
t=6
Please help I
Am struggling thank you
Answer:
1) X + 234 = 633
2) t = 63
3) x = 12
Step-by-step explanation:
1 is simple subtraction, just subtract the whole by the number that is given. Then that will fill X.
2 is multiplication. If a variable is (for example, x) next to a number that means it is multiplying it by a hidden number. To find that, you multiply the number next to the variable. If the sum matches the solution, there you go.
3 12 x 3 = 36. 12x 7 = 84. 84 + 36 = 120. Explanation #2 ^^
Hope I helped!! :)
A bag contains 4 red marbles, 3 blue marbles and 6 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?
Answer:
~0.143
Step-by-step explanation:
So, in total there are 15 marbles, and only 6 of them are red. So the first draw will have a chance of being red. Since you didn't mention placing it back, the next draw will have a chance of being red. It's , because you just took a red one out of the bag (leaving 5 left) and the total was lessened by one. To get the answer, you'd multiply both numbers together.
6/15 x 5/14 = 1/7 or (roughly) 0.143
what fraction of earths atmoshere is made up of nitrogen?
NEED HELP NOW!!!!
WILL GIVE 40 POINTS!!!!
Answer:
im guessing it is 78/100 because u circled 78
Step-by-step explanation:
because 21 + 1 + 78 = 100
so 78/100 is the fraction
Answer:
78/100 or 39/50 (simplified)
Step-by-step explanation:
First, let's convert 78% into a decimal.
78% = 0.78Now, we know that 0.78 is the same thing as 78/100. We can simplify 78/100 into 39/50, where 2 is the GCF
Thus, the answer is 78/100 or 39/50.
Add or subtract each fraction
2 + 15/8
Answer:
3 7/8
Step-by-step explanation:
2 + 15/8 = 2/1 + 15/8
Let's add 2/1 + 15/8 like this:
2/1 × 8/8 = 16/8
16/8 + 15/8 = 31/8
Since that is an improper fraction, we will simplify it.
31/8 = 3 7/8
what is 2x+4>16
x>10
x>6
x<10
x<6
Heya!
2x + 4 > 16
2x > 16 - 4
2x > 12
x > 12 ÷ 6
x > 6
Hope it helps ya!
I’m confused, mostly on 4. How can you prove it, and are they parallel?
Answer:
It is parallel and yes you can prove it.
Step-by-step explanation:
I would use a tool that you can use to figure out the angle, check all the corners and if the smaller one are the same and the wider corners are the same then then would be parallel. That only works though if there was a line going through like your problems. If you had a graph it would be easier.
help find area pls :(
Answer:
Total area = 26.13 ft²
Step-by-step explanation:
area of a triangle = 1/2 x base x height
From inspection, the base of the triangle = 3 x 2 = 6
and the height of the triangle = 4
⇒ area = 1/2 x 6 x 4 = 12 ft²
area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]
⇒ area = [tex]\frac{1}{2} \times 3.14 \times 3^2[/tex]
⇒ area = 14.13 ft²
Total area = 12 + 14.13 = 26.13 ft²
What are all the solutions of x2 + 3x4 07
Answer:
One could be just rewriting it in standard form
Step-by-step explanation:
3x^4+x^2+7
(^=to the power of)
-6= -15r+9s. Solve for s
Answer:
(5r-2)/3 = s
Step-by-step explanation:
-6= -15r+9s
Add 15r to each side
-6+15r= -15r+15r+9s
15r-6 = 9s
Divide each side by 9
(15r-6)/9 = 9s/9
(5r-2)/3 = s
1. The sum of two numbers is 20.5. Their
difference is 6.5. Find the two numbers.
Answer:
13.5 and 7
Step-by-step explanation:
x + y = 20.5
× - y = 6.5
Hence,
x =20.5 - y
20.5 - 2y = 6.5
Hence,
2y = 14
and x = 20.5 - 20.5 - 7 = 13.5
Hope that helps :))
Answer:
The two numbers are 7 and 13.5
Step-by-step explanation:
Let the two numbers be x and y
Make 3 equations (for system of equation and substitution method)
Equation 1. x - y = 6.5
Equation 2. x = 6.5 + y
Equation 3. x + y = 20.5
Use the value of x in equation 2 to substitute x in equation 3.
6.5 + y + y = 20.5
Combine like terms
6.5 + 2y = 20.5
- 6.5 on both sides
2y = 14
Divide both sides by 2 to isolate y
y = 7
Substitute y in equation 3 to find x
x + 7 = 20.5
x = 13.5
Hope this helps :)
Have a great day!
5. Which of the following is not shown in the
figure at the right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel
//
what is y and what does it represent
Answer: y is a variable and is represents an unknown number.
Step-by-step explanation:
May someone please help me with these equations I am struggling thank you very much
Answer: see attachment
Step-by-step explanation:
111111111111111111111111111111111111111111111
Answer:
40 in
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the sides of a right triangle.
b^2 +75^2 = 85^2
b^2 = 85^2 -75^2 = 1600
b = √1600 = 40
The length of the missing side is 40 inches.
What is the equation of this line?
y= 2x - 3
y= -1/2x- 3
y= -2x - 3
y= 1/2x - 3
Answer:
First option) y= 2x - 3
Step-by-step explanation:
[] The y-intercept, our b, is -3. This does not rule out any of the options as they all have -3.
[] The slope, when we have a graph with clear points, can be found with rise-over-run. We will pick a point and then count up and over to the next point.
-> Starting at the y-intercept, (0, 3), we count up 2 and to the right 1 for a slope of 2/1. This simplifies to 2.
[] Our equation is y = 2x - 3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
If you don’t know the answer please don’t comment.
1.) Given f(x) = x3 + 1 and g(x) = −x + 1 what is the value of (fg)(−4)?
A.) 315
B.) -315
C.) 225
D.) -225
2.) Given f(x) = x2 + 1 and g(x) = 3x, find (fg)(x).
A.) (fg)(x) = x2 + 3x + 1
B.) (fg)(x) = 3x^2 + 1
C.) (fg)(x) = 3x^3 + 1
D.) (fg)(x) = 3x^3 + 3x
Answer: FOR NUMBER 2 (B)
Step-by-step explanation:
2. (fg)(x) = f (3x)
= (3x)2 + 1 = 3x^2 + 1 —> B
a group of 150 month grade students responded to a survey that asked which math course they were enrolled in.
Answer:
Step-by-step explanation:
Correct option is C)
19% of all the survey respondents implies we find out 19% of 310.
19% of 310=310×
100
19
=58.9 which is approximately equal to 59.
Seen from the table, 59 is the number of males taking geometry.