[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the gradient of the line joining (-1,9) and (3,5)
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Use the slope formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Replace the letters with the numbers:-
[tex]\boxed{\frac{5-9}{3-(-1)}}[/tex]
[tex]\circ[/tex] On simplification,
[tex]\boxed{\frac{-4}{3+1}}[/tex]
[tex]\circ[/tex] On further simplification,
[tex]\boxed{\frac{-4}{4}}[/tex]
[tex]\circ\sf{SLOPE=-1}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Need help as asap emergency
Answer:
$1346.4
Step-by-step explanation:
First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.
Then find the triangles, which is bxh, which is 6x8. That equals 144.
Add those two to get 528.
Then multiply the total area by 2.55 which will get you 1346.4
What is 1/4 of 12? I can’t figure it out.
Answer:
3
Step-by-step explanation:
1/4 of 12 means (1/4) x 12
=> (1/4)x12
=> 12/4
=> 3
Answer: Heyaa! ~
Your Answer would be 3!
Step-by-step explanation:
We can write 1/4 of 12 as 1/4 × 12
To multiply fractions, follow the given steps:
Multiply the numerators.
Multiply the denominators.
Reduce the resultant fraction to its lowest terms.
Now,
1/4 × 12 = (1 × 12) / 4 = 12/4 = 3
Meaning the answer is.. 1/4 of 12 = 3
Hopefully this helps you!
Find the prime factorization of 945
Answer:
3 × 3 × 3 × 5 × 7
Which is the completely factored form of 12x4 39x3 9x2? 3x2(x – 3)(4x – 1) 3x2(x 3)(4x 1) 3x(x 3)(4x 1) 3x(x – 3)(4x 1)
The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
How to factor the expression?The polynomial expression is given as;
12x⁴ + 39x³ + 9x²
Factor out 3x² from the expression
3x²(4x² + 13x + 3)
Expand
3x²(4x² + 12x + x + 3)
Factorize the expression
3x² * 4x(x + 3) + 1(x + 3)
Factor out x + 3
3x²(4x + 1)(x + 3)
Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
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Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points?
The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km
How to form mathematical expressions from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.
How to find the speed of an object?
If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.
If the object travelled D distance in T units of time, then that object's speed is
[tex]Speed = \dfrac{D}{T}[/tex]
Given that:
Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On Monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four-fifth of the way home = [tex]\dfrac{4}{5}\times 5[/tex] from school (as they're coming towards home, so went from school)After a puncture, cyclists walk to homeTo find the Distance of Reeta from school when the cyclist reaches home.Suppose at time 0 hours, all three people departed from school (on that Monday).
After 't' hours, suppose the cycle gets punctured.
Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),
then we get:
[tex]S =\dfrac{D}{T}[/tex]
[tex]20=\dfrac{d}{t}[/tex]
d = 20t
This distance is measured from school. But we know that this distance is 4 km, so we get:
20t = 4
t = 1 / 4
The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:
5 = 1 / T
t = 0.2 hours
So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours
Reeta is walking that whole 5 km.
The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.
Thus, we have:
Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:
D = S x T
D = 5 x 0.4 = 2 km
So Reeta was 2 km away from school when cyclists reached home on that Monday.
Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km
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General rule nth term)
6;11;16; 21; .....
Answer:
The rule is increase by 5. That means the next term would be 26.
Find the vertex. f(x)=2^2 - 8
Answer:
(0, -√2)
Step-by-step explanation:
Given :
f(x) = x² - 8Finding vertex :
Given by (h, k)h = -b/2a = 0k = -D/4aD = √0 - 4(1)(-8) = √32 = 4√2k = -4√2/4 = -√2Vertex is (0, -√2)Please help quick 30 points
Evaluate 5 x + (-2 x2 ) for x = 3.
Answer:
I'd say 11 but could also be 30
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $230 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $415 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.
The value of David's investment will be at least $415 after a period of 20 years
Compound interestThe formula for calculating the compound interest is expressed as:
A = p(1+r)^t
Given the following parameters
A = $415P = $230r = 3% = 0.03Substitute
415 = 230(1+0.03)^t
415/230 = 1.03^t
1.8043 = 1.03^t
t = ln(1.8043)/ln1.03
t = 20 years
The value of David's investment will be at least $415 after a period of 20 years
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I am a bit confused on how to solve it so please explain
Answer:
Step-by-step explanation:
You could do it either way, but I have attached an image with one way to do it.
Then, using the exterior angle theorem, you can do:
(180-4x) + 100 = 3x
280 - 4x = 3x
280 = 7x
x = 40
From there, don't forget to plug in the numbers if you need to do so :)
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
?÷9 resto:6 resultado:476 me ayudan necesito saber cual es el numero que se divide por 9 para que la division quede completa.
Porfa doy coronita y les doy mis puntos.
Answer:
4289.4
Step-by-step explanation:
El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6
Belle runs 16 times around a track that measures 1/4 mile long.
What fraction shows the distance that Belle runs?
How many whole miles does Belle run?
What is the slope of the line shown below?
A. -1/3
B. 1/3
C. 3
D. -3
Answer:
C. 3
Step-by-step explanation:
Using the slope formula
Answer:
C. 3
Step-by-step explanation:
8 - 2/ 4 - 2 = 6/2 = 3
...................................................
Please help giving 80 points
Graph the function on the coordinate plain
A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value
Answer:
X Intercepts: (2, 0), (-6, 0),
Y Intercepts: (0, – 12)
minimum: (-2,-16)
Step-by-step explanation:
A) what are the x intercepts
X- axis interception points of x²+ 4x– 12:
(2,0), (-6,0)
B)what is the y intercepts
Y-axis interception point of x² + 4X – 12:
(0, – 12)
X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)
C)what is the maximum and minimum value
Parabola equation in polynomial form
The parabola params are:
a=1, b=4,c= -12
xv= -b/2a
xv= -4/2.1
simplify
xv=-2
Plug in xv = -2 to find the yv value
yv= -16
Therefore the parabola vertex is (-2, – 16)
If a<0. then the vertex is a maximum value
If a>0. then the vertex is a minimum value
a=1
minimum=(-2,-16)
A box has a width of 5 centimeters and a height of 6 centimeters. If the volume is 150 cubic centimeters, what is the length of the box?
A) 5 centimeters
B) 4 centimeters
C) 7 centimeters
D) 3 centimeters
Answer: A. 5
Step-by-step explanation:
Answer:
A) 5 cm.
Step-by-step explanation:
Volume = length * width * height
150 = length * 5 * 6
Length = 150 / (5*6)
= 150/30
= 5.
Which the is the correct answer?
To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.
CombinationThis a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.
Data;
Number of Students = 12Team = 5The combination for this would be
[tex]C = ^1^2C_5 = 792[/tex]
The combination to select a 5 a side team from 12 students is 792.
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Use three different values of n to demonstrate that 2 n + 3 n is equivalent to 5 n .
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number :)
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
A is directly proportional to B.
When A = 12, B = 3
Find the value of A when B=5
Answer:
a= 20
Step-by-step explanation:
12/3
a/5
60 = 3a
a = 60/3 = 20
Solve for the variable and give an exact answer.
Answer:
4√ 2
Step-by-step explanation:
2x^2=64 and x^2 = 32 so x= 4√ 2
What is the horizontal asymptote of j (x) = startfraction 14 x cubed 45 over 2 x cubed x 9 endfraction y = 1 y = 5 y = 7 y = 12
The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7
Horizontal asymptotes of a functionThe horizontal asymptotes the the point where the horizontal line cutes the y-axis,
Given the function
j(x) = 14x³+45/2x³+9
Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown
y = 14/2
y = 7
Hence the horizontal asymptotes of the function is y =7
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Which function is increasing?
ECA is a semi equilateral triangle at C,
where EÂC= 30°
B is point on [AC] such that BC = 2cm
and BE = 3cm.
Calculate AE.
Answer: its 50
Step-by-step explanation:
Help me please!!!!!!!!!!!!!!!
Answer:
y= -x to the power of 2
so the answer is the first one!
Hope this helps!!
1.4x10 -2 in standard form
Answer:
12
Step-by-step explanation:
1.4x10 is moving the decimal point one spot to the left, so it would be 14., which is just simply 14. Finally, 14-2=12 which is the answer.
HELP PELASE ILL MARK BRAINLIEST AND POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.
and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.
that is ~
[tex]\qquad \sf \dashrightarrow \: x + y = 3[/tex]
put y = - 2,we will get :
[tex]\qquad \sf \dashrightarrow \: x - 2 = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
so, 1st equation satifys the condition. let's check out 2nd one.
[tex]\qquad \sf \dashrightarrow \: x + 2y = 1[/tex]
put y = -2
[tex]\qquad \sf \dashrightarrow \: x + (2 \times - 2) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4 = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Hence, we can conclude that the Correct choice is D
will give brainliest!!! Help pls!
Answer:
I notice that square 3 plus square 2 equals square 1, the biggest square. That must mean that the third square, squared, plus the second square, squared, equals the biggest square, squared, which is square c.
The graphs of f(x) and g(x) are shown below:
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answer:
A. g(x)=(x+9)^2
Step-by-step explanation:
if it’s plus inside the parentheses it’s goes left and if it’s - it’s right
Hope this helps! ;-)
Find the surface area of the prism.
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
A cooler is filled with different juices. There are 6 bottles of juice:
1 orange juice, 2 apple juice, 2 cranberry juice, and 1 grape juice.
What is the probability of randomly choosing 1 orange juice and then 1 apple juice
without replacing the first juice?
Answer:
1/15
Step-by-step explanation:
Total = 6 bottles
1 orange and apple
Without replacement:
P(orange and apple) = 1/6 x 1/5 = 1/15
Answer: Probability = 1/15
