Answer:
k - 2 = 4d - 8
d + 1 = 4d - 8
Step-by-step explanation:
Daniel's age = d
Kevin's age = k
Given that, k = d + 3 -------------- (1)
Two years ago, the age of Daniel = d - 2
Two years ago, the age of Kevin = k - 2
Since, two years ago, Kevin was 4 times as old as
Daniel, k - 2 = 4(d - 2)
Opening the bracket,
k - 2 = 4d - 8
Since the value of k is d + 3 (see (1))
d + 3 - 2 = 4d - 8
d + 1 = 4d - 8
(I am just giving the answer cause I LOVE Linear Equation )
1 + 8 = 4d - d
9 = 3d
9/3 = d
3 = d
Therefore, Daniel's present age is 3 and Kevin's present age = 6
Hope You understood
Thank You
Please mark me as brailiest
A line has equation y= −2/3 x-4.Write down the y-intercept of the line.
What is the value of xin this triangle?
Enter your answer as a decimal. Round only your final answer to the
nearest hundredth.
32 58
Answer:
33.48
Step-by-step explanation:
Find the diagram attached
Opposite = 32
Hypotnuse = 58
Sin theta = opposite/hypotenuse
Sin theta = 32/58
Sin theta = 0.5517
theta = arcsin(0.5517)
theta = 33.48
Hence the value of x to the nearest tenth is 33.48
13. Find the vertex of f(x)=x2 -6x +8 .
a
(3,-1)
b
(-3, 1)
c
(-3,-1)
d
(3, 1)
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0). What are the slope and y-intercept of the linear function graphed to the left?
Answer:
0,1
Hope it helps!
if your talking about edge
slope: -½
y-intercept: 1
Step-by-step explanation:
B
{WILL GIVE BRAINLIEST} pls solve show work or just do on paper and send me a picture
Answer:
you torched a kid today
Step-by-step explanation:
i hope you are happy:(
The blank is the number that should go there
100, 103,__118, 130, 145...
You get a gift of $1,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different savings plans. Determine the final amount in the account for each plan in 5 years. Round your answers to two decimal places if needed.
Plan A: The bank gives you 4% interest rate and it is compounded every two months.
Plan B: The bank gives you a 10% interest rate and compounds the interest every 6 months.
Final Account balance for Plan A: $
Final Account balance for Plan B: $
Step-by-step explanation:
write what you know
P = 1,000
n = 5 years
Plan 1
i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%
write and solve
future value = p(1+i)^n = 1000(1+0.24)^5
plan 2
i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%
write and solve
future value = p(1+i)^n = 1000(1+0.20)^5
Which is odd one out? Explain how you know?
15,000 ones 1,500 tens 15 thousands 15,000 15 ten thousands
Given:
15,000 ones, 1,500 tens ,15 thousands, 15,000, 15 ten thousands.
To find:
The odd one out.
Solution:
First, we need to convert all the values in the standard form of a number.
[tex]15000\text{ ones}=15000\times 1[/tex]
[tex]15000\text{ ones}=15000[/tex]
Similarly,
[tex]1500\text{ tens}=1500\times 10[/tex]
[tex]=15000[/tex]
[tex]15\text{ thousands}=15\times 1000[/tex]
[tex]=15000[/tex]
[tex]15\text{ ten thousands}=15\times 10000[/tex]
[tex]=150000[/tex]
The standard form of all numbers is 15,000 except 15 ten thousands.
Therefore, the odd one out is 15 ten thousands.
List the first three terms of this sequence: an = 3 • 5n – 1
Answer:
1st term = 14
2nd term = 29
3rd term = 44
Step-by-step explanation:
1st term = 3 x (5 x 1) - 1
= 3 x 5 - 1
= 15 - 1 = 14
2nd term = 3 x (5 x 2) - 1
= 3 x 10 - 1
=30 - 1 = 29
3rd term = 3 x (5 x 3) -1
= 3 x 15 - 1
= 45 - 1 = 44
1. What is the value of x?
A. 21
B. 41
C. 22
D. 20
Answer:
I think the answer is 20!!!!!
I need help with these 2 please
Answer:
(-2 , 5) (2 , 3)
m = y2 - y1 / x2 - x1
= 3 - 5 / 2 + 2
- 2 / 4 = - 1/2
- 1/2 = y - 3 / x - 2
cross multiply and u get
y = -0.5x + 4
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
(m2-m-4)+(m-5) (1 point)
Answer:
2−9
Step-by-step explanation:
You take redundant away, then do subtract, then combine terms. It will give solution.
Please help please I need help
Answer:
4 inches.
Step-by-step explanation:
Someone please help me thank you
Answer:
[tex]x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]
Step-by-step explanation:
Ensure that the equation is in the form of ax² +bx +c= 0.
5x² -x +1= 3
5x² -x +1 -3= 0 (-3 on both sides)
5x² -x -2=0
Here, a= 5, b= -1, c= -2.
Use the quadratic formula below to solve for x.
[tex]\boxed{x = \frac{ - b± \sqrt{b^{2} - 4ac } }{2a} }[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( -1 )^{2} - 4(5)( - 2)} }{2(5)} [/tex]
[tex]x = \frac{1± \sqrt{1 + 40} }{10} [/tex]
[tex]x = \frac{1± \sqrt{41} }{10} [/tex]
[tex]∴x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]
Step-by-step explanation:
First, lets understand the question. When it says to find all the "real" solutions, that means you should not give any solutions containing an imaginary number. An imaginary number is basically where we accept that there exists an i (imaginary number) that is equal to [tex]\sqrt{-1\\}[/tex] (square root of negative 1). So we are not considering this concept in this question.
Let's start solving then. Can you think of an equation that may help you solve this problem? The biggest clue is that x is squared. If you said the quadratic formula, then you are perfectly correct!
Remember in order to use the quadratic formula, you must get your equation into the form:
[tex]ax^{2} +bx +c=0[/tex]
Let's do it! Right now we have:
[tex]5x^{2} - x +1=3[/tex]
Get rid of the 3 by subtracting it from both sides:
[tex]5x^{2} -x+1 -3 = 3 - 3\\5x^{2} -x-2=0[/tex]
Okay! it looks like our quadratic form now! By comparing it we can figure out what a, b, and c are in this case:
[tex]a = 5,{ }\\ b = -1, { }\\c = -2[/tex]
Let's get out our quadratic formula now:
[tex]\frac{ -b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]
All that's left to do is insert values and solve! (Be really careful when dealing with the negatives):
[tex]\frac{ -1\frac{+}{} \sqrt{(-1)^{2} -4(5)(-2)} }{2(5)}[/tex]
[tex]=\frac{ -1\frac{+}{} \sqrt{41} }{10}[/tex]
Removing the plus/minus we get two answers:
[tex]=\frac{ -1+ \sqrt{41} }{10}\\\\or\\\\=\frac{ -1-\sqrt{41} }{10}[/tex]
These are the most simplified forms! It turns out we didn't even have to worry about imaginary solutions because we didn't end up with a negative sign under the square root. Hope this helps, and good luck!
Are the following polygons similar explain
Technically, we don't have enough info so it could go either way.
==========================================================
Explanation:
We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.
Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.
Use the graphling tool to determine the true statements regarding the represented function check all that apply
Answer:
Adobe Family Tools
Step-by-step explanation:
Now round 0.065 to the nearest hundredth.
0.065 rounds to?
Answer:
0.07
Step-by-step explanation:
To round a decimal to the nearest hundredth, look at the thousandths place.
If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.
If it is smaller than 5, we will keep the number the same.
In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.
The hundredths place value is 0.06, so we will round it up to 0.07.
So, 0.065 will round to 0.07.
Urgent helps bxjdidjdjjfjdhhdhdh
Answer:
l=40
Step-by-step explanation:
The area is calculated as
A = wl
1200=30l
1200/30=l
40=l
Paul buys 5 books priced at $10 and 3 priced at $15. He also has a coupon for $7 off his purchase. Write an expression with parentheses to show the total cost, after using the coupon, and then simplify it to show hos much he spent.
Answer:
(10x5+15x3)-7
Step-by-step explanation:
Find the slope of the line that contains
the points (3, 2) and (-3, 8).
Answer:
-1
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= ( 8 - 2)/( -3 -3)
= 6 / -6
= -1
The cost of a Kit-Kat is $0.04 more than the cost of a Snickers. If you buy 4 Kit-Kats and 8 Snickers, the total cost is $12.76. How much does the Snickers cost?
Answer:
Step-by-step explanation:
go to the back of the book
if f(x) = 4x - 20, what is f(4)?
Answer:
f(4) = -4
Step-by-step explanation:
f(x) = 4x - 20
Let x= 4
f(4) = 4*4 - 20
Multiply first
= 16 -20
Then subtract
= -4
Answer:
-4
Step-by-step explanation:
Hope it helps
a man in a boat rowing from lighthouse whose height is 200m it takes 2 minutes to change the angle of elevation of 60 degree to 45 degree find speed of boat
Answer:
Step-by-step explanation:
I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:
[tex]sin60=\frac{200}x}[/tex] so
x = 231 meters (I rounded to the nearest whole numbers in this problem.
To find y:
[tex]sin45=\frac{200}{231+y}[/tex] so
[tex]y=\frac{200}{sin45}-231[/tex] and
y = 52.
The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters?
Answer:
79 inches
Step-by-step explanation:
2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in
rounded
79 inches
Helpppppp meeeee!!!!!
if u answer all 4 questions i´ll give you Brainliest!!!
NO LINKS!!
Express the following difference in the form of a + bi: (6 - 3i) - (-8 - 5i)
In a right angle triangle the side lengths are 4 and 2. Please find the hypotenuse. You can answer this in radical form OR give the answers in hundredth.
Answer:
4.47
Step-by-step explanation:
A squared + B squared = C squared
4*4=16 2*2=4 16+4=20
the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47
What is the measure of arc WYZ?
------------
hint: find the measure of arc WYZ
------------
231
255
200
168
Step-by-step explanation:
We have a diameter and vertical angles so
231.
180+51=231
Answer:
231
Step-by-step explanation:
The measure of arc WX is 51
XZ is a straight angle so its arc measures 180 degrees
The measure of arc WYZ
WYZ= WX + XZ
= 51 + 180
231