The length of a rectangle is one less than 3
times the width. The area is 70 m sq. What
are the length and width?
Answer:
l= 10 , w=7
Step-by-step explanation:
If the length of a rectangle is 11 m less than 3 times the width, then we can come up with this equivalency:
l = 3w - 11
where l stands for length and w stands for width. Now we plug in the equivalency into the equation for the area of a rectangle:
A = lw
A = (3w - 11)w
70 = (3w - 11)w
70 = 3w2 - 11w
Then solve for w by completing the square. Now, in order to complete the square for this, we need to find a completion that fits 3w2 - 11w + ? and completes the base factoring of (√(3)w - ? )2. The only one that fits the second question mark so that it can work out to the first is (11√3)/6, and when we work it into the first question mark, the first question mark becomes 121/12. Essentially, what we have for completing the square is:
70 + 121/12 = 3w2 - 11w + 121/12
80.08333 = (√(3)w - (11√3)/6)(√(3)w - (11√3)/6)
80.08333 = (√(3)w - (11√3)/6)2
8.94893 = √(3)w - (11√3)/6
Solving for w, we get:
12.124 = √(3)w
w = 7
Since we know that the length is 11 m less than 3 times the width, we can plug w into the first equation to find l:
l = 3w - 11
l = 3(7) - 11
l = 21 - 11
l = 10
And if we want to check, lw = (10)(7) = 70.
Find the range of the data set: 400, 340, 870, 400
Answer:
530 870-340=530
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
Range means when you do the highest number takeaway from the smallest number.
870-340=530.
hope this helps,have a great day!!
~Pinky~
Find the sum of−3x^2
Answer:
[tex]x+y=2[/tex]
[tex]y=-x+2[/tex]
[tex]slope (m)=-1[/tex]
[tex]slope ~of ~perpenddicular ~line:-[/tex]
[tex]-1/m_{2}[/tex]
[tex]\frac{-1}{-1} =1[/tex]
------------------------
hope it helps...
have a great day!
helppppppppppppp pla
Answer:
20 X 6 would be the answer.
What's the answer to
"find the value of
√121 + 3√125" "?
Answer:
11+15√5
Step-by-step explanation:
mat.hway
-15x - 43= -45 anyone
Answer:
If your looking to solve it, the answer is x=2/15
Step-by-step explanation:
Answer:
[tex]x=2/15 ~or~ x=0.13[/tex]
Step-by-step explanation:
[tex]-15x-43=-45[/tex]
[tex]move ~ -45 ~ to ~the ~right ~ and ~change ~ its ~ sign[/tex]
[tex]-15x=-45+43[/tex]
[tex]calculate ~[/tex]
[tex]-15x=-2[/tex]
[tex]divide ~ both ~ sides ~ by ~ -15[/tex]
[tex]x=\frac{2}{15}[/tex]
[tex]x=0.13[/tex]
------------------------------
hope it helps...
have a great day!!!
I don’t know what this answer is
Answer:
Dilation of 0.5.
Step-by-step explanation:
Dilations are basically scale factors. If you multiply both x and y by 0.5, you get the transformation.
Example:
E (-5 ·0.5 , -3 · 0.5)
E' (-2.5, -1.5)
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year. How many helmets did the company sell in their first year?
sports Inc sold more helmets
fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
What is the maximum value of the function f(x) = -x2 + 4?
Answer:
-x2+4=-x=4-2=2
-x=2
x= -2
2. Landon, Wes, and Tim attempted 25 basketball shots each.
Landon made 36/100 of his shots.
Wes made 2/5 of his shots.
Tim made 32% of his shots.
Who shot the best % and why?
:,)
Answer: Wes shot the best because his percentage was 40% while Landon (36%) and Tim's (32%) percentage were lower than Wes's.
Step-by-step explanation: The best way to find out who shot the best is by first changing the denominator of the fraction to 25. This way, we can compare easily.
Landon:
36/100=9/25=36%
Wes:
2/5=10/25=40%
Tim:
32%
Hope this helped! ;)
24. Vince spent half of the money in his wallet on a new jumper
He then spent S15 on lunch.
After lunch he spent two thirds of the money remaining in his wallet on a hat.
If he is left with $10 in his wallet. how much did he have to begin with? Write as an equation
Let the money alleli initially had be x
Money after buying clothes = x-(1/2)x=(1/2)x
Money spent on shoes = (1/2)x × (1/3)x=(1/6)x
Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x
Also we know the remaining money is 1000
Therefore
(1/3)x = 1000
Multiplying 3 on both sides
X = 3×1000
X = 3000
The initial amount she had is 3000
Hope this is right!!
What is the product?
2 - 2
13
1
x 35
- 2
1
0
4
1
12
7
7
10
11
6
7
9
15
14
- 1
9
Answer:
re343t
Step-by-step explanation:
479
What’s the answer to the question
Answer:
option E is the answer
-14/2=(-7)²=+49
pls help will give brainliest
Answer:
2m+4b+4a
Step-by-step explanation:
should be this
Answer:
i am not sure man sry
Step-by-step explanation:
2m+4b+4 i found the answer!
helppp pleaseee:(im failing
Answer:
1.o5 I fell i I'm in heven
heyy! i’ll give brainliest please help.
achel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that onennumber cube lands on a 1 and the other lands on an even?
Answer:
immma send you the link friend me on here
Step-by-step explanation:
I NEED HELP ITS DUE BEFORE MIDNIGHT
Answer: 15
Step-by-step explanation: 360÷24=15
Quisssss
[tex]111 \times 5000 + 85 - 6 \div 2 \times 54[/tex]
ngasal reprot
Answer:
554923
Step-by-step explanation:
111 * 5000 + 85 - 6/2 * 54
555000 + 85 - 3 * 54
555000 + 85 - 162
554923
Write an explicit formula for the following sequence. Find the fifteenth term.
10, 11, 12, 13, 14, ...
Answer:
Tn=n+9
Step-by-step explanation:
Tn=n+9
T15=15+9
T15=24
What is the mode of this data set?
12, 12, 13, 14, 17, 16
Answer:
Mode = 12
Step-by-step explanation:
If you need--
Median-13.5
Mean-14
Answer:
12
Step-by-step explanation:
the mode is the number that is the most in fashion
here 12 appears the most
What is the inequality 3 - 2x > 5 is equivalent to?
Answer:
-2x > 2
x < -1
Step-by-step explanation:
Please help me be genuine no Links I really need help please don’t be fake I really need it :(!
Answer: 2/3
Step-by-step explanation:
Probiability is really easy. First you need to count all the numbers like in yours.: 12 numbers. next you need to make a fraction like the number it is asking... Sience their are 8 shaded parts you write 8/12. Now you simpify 8divided 4 is 2. And 12 divided by 4 is 3. Answer 2/3
Explain completely why a quadratic equation cannot have one real root and one complex root. Be clear,
and make it evident that you understand this. (1 point)
Let x = p+qi be the complex root and x = r be the the real root. The p and q are real numbers.
If x = p+qi, then x-p-qi = 0 which indicates (x-p-qi) is a factor.If x = r, then it leads to x-r = 0. This makes (x-r) the other factor.Multiply the two factors like so:
(x-p-qi)(x-r)
y(x-r) ..... let y = x-p-qi
xy - ry ..... distribute
x( y ) - r( y )
x( x-p-qi ) - r( x-p-qi ) ........ plug in y = x-p-qi
x^2 - px - (qi)x - rx + pr + qr*i ........ distribute
x^2 + (-px-qi*x-rx) + (pr+qr*i)
x^2 + (-p-qi*-r)x + (pr+qr*i)
x^2 + ((-p-r)-qi*)x + (pr+qr*i)
We end up with an expression in the form ax^2 + bx + c where the coefficients are:
a = 1 = real numberb = (-p-r) - qi = complex numberc = pr + qr*i = complex numberThe coefficients b and c are complex numbers. So it is possible to have one real root and exactly one complex root; however, as shown above, it leads to some of the coefficients being complex numbers. I'm assuming your teacher wants all coefficients to be real numbers. If that's the case, then a quadratic equation cannot have one real root and one complex root. You would need to have the complex roots come in conjugate pairs. Meaning that if a quadratic equation with real coefficients has a complex root, then there's another complex root as its nearly "twin" pair so to speak.
Recall that quadratic equations have at most 2 roots according to the fundamental theorem of algebra. Having 2 complex conjugate pairs for the roots will then mean there isn't enough room for that third real root. In other words, here are all the possible scenarios:
A) There are two different real rootsB) There is exactly one real rootC) There are no real roots. Instead, there are two complex roots that come in conjugate pairs.Again this only applies if all coefficients a,b,c are real numbers. For scenario B, the root repeats itself and we consider it a double root. For instance, x^2+10x+25 = 0 has the root x = -5 repeat itself. In scenarios A and B, we don't have any complex roots happen.
Because always that we have a discriminant different than zero, we have two solutions.
When a quadratic equation has complex roots?
A quadratic equation has complex roots when its discriminant is negative, where for the general quadratic:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
And the solutions of the roots are:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
Because we have two possible signs for the square root of the discriminant, we always will have two solutions when the discriminant is different than zero.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
PLEASE ANSWER ME AS FAST AS POSSIBLE
THANK YOU!
Answer:
5/8 - 1/4
Step-by-step explanation:
because it makes more sense I don't know how to explain
Answer:
4th option.
Step-by-step explanation:
The number getting subtracted is 5/8 since there are 5 boxes shaded in.
The number subtracting from it is 2/8 but that is not an option so the only other option equivalent to 2/8 is 1/4.
5/8 - 1/4 = 3/8 so the answer would also need to include 3/8 as the difference.
The only choice with all this is the 4th one
PLZ HELP: what is the area of this parallelogram? h=5in, b=6in i-ready
A=30in²
Explanation: if the height is 5 and the base is 6 then five times six = 30 inches, and because it is area, you have to put squared or 2 making it 30 inches squared or 30in².
I'm not sure if the explanation made sense to you or not but that is how i got it but here you go have a good morning/afternoon/evening!! <3
- berry
if the probability of rain tomorrow is 0.15 what is the probability that it will not rain
Answer:
85% or 99.85%
Step-by-step explanation:
If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.
If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.
Write 50,000 using power of ten, multiplication and an exponent
Answer:
It's 5 x 10 power 4
Please make Brainlist
If a fridge was sold at a discounted price of GH¢ 7600, what is the original price of the fridge if the discount is 25%
Answer:
10,000.33 GH¢
Step-by-step explanation:
Let's say p = original price and d is discount
so discounted price = p*(1-d%)
From the given data,
7600 = p * (1-0.25)
p = 7600/0.75
p = 10,000.33