Answer:
k = -1
Step-by-step explanation: 6-4 = k-3k
subtract: 2 = -2k
divide both sides by -2: k = -1
simplifying is easy! we simply add or subtract like terms on each side.
6-4=2
1-3=-2 and then add k which is the variable so -2k
The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k
David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why
Answer:
(m-16)(m+4)
Step-by-step explanation:
To factor a quadratic expression
First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.
David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).
How to factor an equation?An equation can be factored into its factors by splitting the middle term of the equation.
The given expression can be factored as shown below:m^2 - 12m - 64 = 0
⇒ m^2 - 16m +4m - 64 = 0
⇒ m(m - 16) + 4(m - 16) = 0
⇒ (m + 4)(m - 16) = 0
The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).
Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).
Learn more about factorization here: https://brainly.com/question/25829061
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Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.
Answer:
[tex]Area=45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.
When s=5
Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]Area of a circle[tex]=\pi r^2[/tex]
Therefore, area of the oil spill when s=5 seconds is:
[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
Help me please............
Answer:
Step-by-step explanation:
16*[tex]x^{2}[/tex]
Answer:
16* x^2
Step-by-step explanation:
k* x^n
First simplify the expression:
4^2*x^2
So:
16* x^2
Can you help me please
Answer:
372.6
3Step-by-step explanation:
What will be the distance from the center of dilation, P, to the
image S'?
2 units
4 units
6 units
8 units
Answer:
6
Step-by-step explanation:
Answer:
6 units on edge
Step-by-step explanation:
5x+2y = 10
Identify the y-intercept of the
following equation.
Answer:
y intercept = 10
hope this answer helped
Translate the statement into an equation. Then solve the equation.
The sum of 8 and 3 times a number is 23.
3x - 8 = 23; 5
8+ 3x = 23,5
3x = 8+23; 10
(8 + 3)x = 23; 2
please help me with this it is the last quastion i need help with
Answer:
$92.92
Step-by-step explanation:
$72.60 * 20% = 14.53
$72.60 + 8%= $78.40
$78.40 + $14.52 = $92.93
Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?
F. Find the absolute value of negative three.
G. Find the opposite of positive three.
H. Find the absolute vaule of positive three.
J. Find the opposite of negative three.
Answer:
F
Step-by-step explanation:
Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.
what are the solutions to the system of equations graphed below?
Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where the graphs intersect
The graphs intersect at (-3,-3) and at (0,6)
A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.
Answer:
19339.64 in³
Step-by-step explanation:
Volume of a cylinder: V = π · r² · h
V = π · 18² · 19
V = π · 6156
V = 19339.64 cubic inches
Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.
Answer:
(x-2)(3x)+(x-2)(4)
When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.
Can you Graph y= 2/3x -4, please
Quite a vague question, I used desmos to graph the attached photo.
There are six slices of cake left at the end of a party. If that was 2/9 of the total of the cake that the party began with, how many slices were in the cake to begin with? (enter you answer as a number only, no words) *
Answer:
27
Step-by-step explanation:
6 divided by 2/9=27
An equilateral triangle has perimeter 57cm, what is the length of one of the sides?
Answer:
19 cm
Step-by-step explanation:
An equilateral triangle has all 3 sides the same length
P = 3s where s is the side length
57 = 3s
Divide each side by 3
57/3 = 3s/3
19 =s
Find the equation (in terms of x) of the line through the points (-3,1) and (5,3)
Answer:
(y-3)=(1/4)(x-5) or (y-1)=(1/4)(x+3)
Step-by-step explanation:
point slope formula: (y-y1)=m(x-x1)
slope formula: (y2-y1)/(x2-x1)
slope = m
Identify a central angle in the figure.
A)
ZBCD
ZBFC
ZFAE
ZFCO
Answer:
a is your answer is am correct
simplify x^2+(y-9)^2=
Answer: Simplify each term.
x^2+y^2−18y+81
Step-by-step explanation:
Which phrase represents this expression?
(47−17)×4
A. 4 times the difference of 47 and 17
B. 4 times the difference of 17 and 47
C. the difference of the product of 4 times 17 and 47
D. the difference of 47 and the product of 4 times 17
Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels?
Answer:
The answer is c and we'll use c to get the actual answers.
A) n + q = 104
B) .05n + .25q = 22 we'll multiply B) by -4
B) -.2n -1q = -88 then we add A)
A) n + q = 104 which equals
.8n = 16
n = 20 nickels
q = 84 quarters
20 nickels = $1
84 quarters = $21
Successful!!!
Step-by-step explanation:
Find the value of x. Will mark brainliest.
Answer:
3.625
Step-by-step explanation:
Line segment IK = 35.
This is a parallelogram, in which:
LJ is a line bisector of IK; line Imidpoint = line segment kmidpoint.
IK = (4x + 3) + (4x + 3)
35 = (4x + 3) + (4x + 3)
Simplify. Combine like terms:
35 = 8x + 6
Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction.
First, subtract 6 from both sides:
35 (-6) = 8x + 6 (-6)
35 - 6 = 8x
29 = 8x
Divide 8 from both sides:
(29)/8 = (8x)/8
x = 29/8
x = 3.625
3.625 is your answer.
~
Answer:
X= 8
The reason why X equals 8 is because the gave you the measurement of points I and K. They have created an expression to find points I and K and all they ask you to do is find the value of x.
To find the value of x, think about the measurement of points I and K. The measurements of point I and K equals 35. So we have to substitute a number for x that would make the expression equal 35. This is how I did it, so I thought 4 times what would get me close to 35. Then 4*8 came to my head and that automatically equals 32 and then when you add the three you get 35!
I hope I've helped!
Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?
The correct question is:
Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?
(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x
is (0,5). [
(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.
(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.
(4) Neither graph has a y-intercept.
Answer:
(2) and (3) are true.
Step-by-step explanation:
The correct options are:
(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0
(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0
PLEASE HELP FAST
Find the volume of a rectangular prism. Iength measures 16 ft, width measures 3 ft, and height measures 2 1/2 feet
Answer:
120 ft ^2
Step-by-step explanation:
Volume= lwh
Volume= 16(3)(2 1/2)
Volume= 120 ft^2
Answer: 120
Step-by-step explanation: 16 x 3 x 2.5 = 120
The value of an antique can be predicted by the expression 250 * (1.12) ^ t where is the number of years since 2014. What does the value 250 represent?
Answer:
mark brainlyest and I will
The value 250 represents the predicted value of antique in year 2014.
Given Expression,
[tex]250\times(1.12)^{t}[/tex]
Here [tex]t[/tex] represents the no. of years since 2014.
Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.
Hence the value 250 represents the predicted value of antique in year 2014.
For more details on Decay rate problems follow the link:
https://brainly.com/question/8725872
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
please help i don't get it
Answer:
97 cm
Step-by-step explanation:
The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be
3 + 10 + 3 + 33 + 33 + 15 = 97 cm
Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct? Round the answer to the nearest thousandth.
P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
0.211
0.244
0.756
0.944
Answer:
The answer is C.) 0.756
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
just did the test on edge 2020
Three of the bedrooms in Lana’s house are rectangular, each 101/2 feet by 111/4 feet, What is the least amount of carpeting needed to completely cover the three floors?
Answer:
The answer is D, or 354 3/8 ft^2
Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?
Answer:
odd
Step-by-step explanation:
Answer:
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:
EDGEEE 2022