Step-by-step explanation:
in purple box write constants..
in green box write variable.
in redbox write coefficient..
the black box which is present below 12 right constant term..
the black box which is present below 3y write variable term..
hope it helps
Solve – x2 + 5x – 2 = x2 - x by graphing. Round your answers to the nearest hundredth, if necessary.
The solutions are x =
and x =
Answer:
[tex] {}^{6} \sqrt{3a} = {}^{6} \sqrt{3a} \\ {}^{3} \sqrt{5a} = {}^{6} \sqrt{5 {}^{2} } a {}^{2} = {}^{6} \sqrt{25} \\ \sqrt{za} = {}^{6} \sqrt{2 {}^{3} } a {}^{3} = {}^{6} \sqrt{8a {}^{3} } [/tex]
The legs of a right triangle have lengths of 10 cm and 13 cm. What is the length of the
hypotenuse?
A) 3cm
B) √69 cm
C) √269 cm
D) 23 cm
Answer:
C
Step-by-step explanation:
Determine the value of the variable that makes the equation true 1 /3a=−5
Answer:
a = -1/15
Step-by-step explanation:
1 / 3a = -5
3a = 1 / -5
3a = -1/5
a = (-1/5) / 3
a = -1/15
Hope that helps! :)
-Aphrodite
Solve for y.
y y
—— = ——
P-9 P+9
9514 1404 393
Answer:
y = 0
Step-by-step explanation:
Subtracting the right side gives ...
[tex]\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}[/tex]
The factor multiplying y cannot be zero, so y must be zero.
will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]
Use proportion to work out these problems.
In each question assume that the rate stays the same.
1 A car uses 20 litres of petrol to travel 160 km.
How much petrol does the car use to travel 400 km?
Answer:
50 litres
Step-by-step explanation:
If you think of it as a ratio, there are 20 litres to every 160 km. There are __ litres to every 400 km. To get to 400, 160 is multiplied by 2.5
So multiply 20 by the same number and you get the number of litres for 400 km.
20 * 2.5 = 50
What do the following two equations represent?
Answer:
C)
Step-by-step explanation:
Express your answer as a mixed number in simplest form
Answer:
3×2+1 - 2×3+1
2. 3
7. - 7
2. 3
21-14
6
7
6
=2 3
7
Answer:
the answer is 7/6 it doesn't give a whole number
What is the missing angle
measure?
Answer:
x = 136º
Step-by-step explanation:
x = 180 - (29 + 15)
x = 180 - 44
x = 136
Hope that helps! :)
-Aphrodite
To the nearest gallon, what is the volume of a cylindrical water heater 1.4 feet in diameter and 4 feet tall (1 cubic foot=7.48 gallons)
The answer would be 46 gal.
HELPPPPPPP!!!!!!!!!!!!
Answer:
D. -1
Explanation:
Parallel lines will always have the same slope
10 POINTS JUST ONE QUESTION I WILL FIGE BRAINLIEST IF CORRECT!!! Please help
16. Solve for x.
Answer:
[tex]x=17[/tex]
Step-by-step explanation:
[tex](x+7)^{2} =18(18+14)[/tex]
[tex](x+7)^{2} =18(32)[/tex]
[tex](x+7)^{2} =576[/tex]
[tex]x+7=\sqrt{576} =24[/tex]
[tex]x=24-7=17[/tex]
[tex]---------[/tex]
hope it helps...
have a great day!!
The distance s s that an object falls varies directly with the square of time, t t, of the fall. If an object falls 16 16 feet in one second, how long for it to fall 256 256 feet
Answer:
It will take 16 seconds to fall 256 feet.
Step-by-step explanation:
The distance s that an object falls varies directly with the square of time t of the fall i.e.
[tex]s=kt[/tex]
Where
k is the constant of proportionality
An object falls 16 feet in one second, it means,
16 feet = 1 second
1 feet = (1/16) seconds
To fall 256 feet,
[tex]t=\dfrac{256}{16}\\\\t=16\ s[/tex]
So, it will take 16 seconds to fall 256 feet.
For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of the 18 term
Answer:
[tex]18th=44032[/tex]
Step-by-step explanation:
From the question we are told that:
9th term [tex]a9=\frac{43}{256}[/tex]
14th term [tex]a14=172[/tex]
Generally the equation for Geometric sequence is mathematically given by
[tex]a_n=a_1r^{n-1}[/tex]
For 9th term
[tex]\frac{43}{256}=a_1r^{8}[/tex]
For 14th term
[tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]
Substitute in 9th term
[tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]
[tex]\frac{43}{256*172}=r^{-5}[/tex]
[tex]r=^5sqrt{\frac{44032}{43}}[/tex]
[tex]r=4[/tex]
Therefore First term a is given as
[tex]a_1=\frac{172}{4^13}[/tex]
[tex]a_1=2.563*10^{-6}[/tex]
Generally the equation for the 18th term is mathematically given by
[tex]18th=a_1r^{17}[/tex]
[tex]18th=2.563*10^{-6}*4^{17}[/tex]
[tex]18th=44032[/tex]
can someone help me with my math pls
Answer:
Both 4x^2 and 64 are perfect squares
Step-by-step explanation:
If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.
The second option is invalid because being an even number does not mean the number is a square.
The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.
How do you know the that two triangles are similar?
Answer:
Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar
Step-by-step explanation:
Answer: they look similar
Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)
The kids are racing around a circle on the playground with a radius of 12 feet. If they ran around it 5 times, how far did they run round to the nearest foot?
Answer:
377 feet
Step-by-step explanation:
Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r
Plug in 12 as r, the radius, then solve:
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](12)
C = 24[tex]\pi[/tex]
Multiply this by 5, since the kids ran around it 5 times:
24[tex]\pi[/tex](5)
= 120[tex]\pi[/tex]
To the nearest foot, this is 377.
So, the kids ran round 377 feet
Find the slope of a line through the points: (1,6) and (2,8).
Find the y-intercept of the line y= 1/2x + 2
What is the area of the rectangle
Answer:
E. 54cm ^2
Step-by-step explanation:
when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm
Answer:
E
Step-by-step explanation:
length times width
6 x 9 = 54
A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?
Answer:
The polar bear weighs 525kg
Step-by-step explanation:
C = Polar Bear
D = Baby Elephant
____________________________
(1) C + D = 700 kg
(2) C = 3D
________________________________
C = 700 - D
700 - D = 3D
700 = 4D
________________________________
525 + 175 = 700
Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.
Hope this helps you :)
Solve it
[tex] \sf \: 5(x - 9) + 3(x + 4) = 2(x - 6)[/tex]
Answer:
[tex] \huge{x = \frac{7}{2} }[/tex]
Step-by-step explanation:
5(x - 9) + 3(x + 4) = 2(x - 6)
First expand the terms in the bracket
That's
5x - 45 + 3x + 12 = 2x - 12
Simplify
8x - 33 = 2x - 12
8x - 2x = 33 - 12
6x = 21
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6} [/tex]
Simplify
We have the final answer as
[tex]x = \frac{7}{2} \\ [/tex]
Hope this helps you
Answer:
x=3.5
Step-by-step explanation:
5(x-9)+3(x+4)=2(x-6)
5x-45+3x+12=2x-12
8x-33=2x-12
8x-2x=-12+33
6x=21
x=21÷6
=3.5
Hope it helps!!!
PLEASE HELP!!! IM DESPERATE!!! NO LINKS!!! If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.5 feet is the height of the house.
Can someone helpp me with this. I need this plzz. But it is for mathh.
Answer:
the value of the independent variable is 6
Answer:
6
Step-by-step explanation:
they are pretty much telling you to find the x-coordinate.
it is independent because the days do not depend on what the mass is, but the mass depends on what day it is.
sorry if this is confusing, have a good day!
HELP PLEASE I SUCK AT THIS!<3
in a football game, josh lost 19 yards in the 1st play, gained 5 yards in the 2nd play gained 6 4th play. Which answer choice represents his TOTAL yardage for all 4 plays
answers in picture
Answer:
the second one
Step-by-step explanation:
what is the standard deviation of 6, 2, 3, 1
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N = (6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
No file answers or I will report you. Thanks!
In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!
Answer:
37.82 year(s)
Step-by-step explanation:
double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task
write the product in standard form: (3y-5)(3y+5)
Answer:
9y^2 - 25
Step-by-step explanation:
This is the product of the sum and difference of two squares:
(a - b)(a + b) = a^2 - b^2 (a formula well worth memorizing)
Therefore, (3y - 5)(3y + 5) = 9y^2 - 25, which is in standard form.
Giving brainlist to whoever answers
Answer:
C.
Step-by-step explanation: