Answer: [tex]y=-\frac{3}{4} x+3.5[/tex] or [tex]y=-\frac{3}{4}x+\frac{7}{2}[/tex]
Step-by-step explanation:
A parallel line has the same slope and different y-intercepts.
Let's change our equation to slope-intercept.
[tex]3x+4y=12[/tex]
[tex]4y=12-3x[/tex]
[tex]y=\frac{12-3x}{4} =3-\frac{3}{4}x[/tex]
[tex]y=3-\frac{3}{4} x[/tex]
Now that we know our slope is -3/4, we know the equation will have -3/4 as the slope. Let's leave b blank so that we can find the y-intercept of the parallel line.
[tex]5=-\frac{3}{4}(-2)+b[/tex]
[tex]5=\frac{3}{2} +b[/tex]
[tex]3.5=b[/tex]
Our parallel equation is [tex]y=-\frac{3}{4}x+3.5[/tex] or [tex]y=-\frac{3}{4} x+\frac{7}{2}[/tex]
HELP?! ASAP PLEASE! !!!
Answer:
In an isosceles triangle the base angles are congruent, meaning that the "missing" angle is also a. This means that 40 + a + a = 180 because the sum of angles in a triangle is 180.
40 + a + a = 180
40 + 2a = 180
2a = 140
a = 70°
What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?
Answer:
Step-by-step explanation:
(3-7)/(-2+1)= -4/-1= 4
y - 7 = 4(x + 1)
y - 7 = 4x + 4
y = 4x + 11
Please do number 2 QUICK
Answer:
25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
Answer:
25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Make v the subject of the relation KE = ½mv²
Answer:
[tex]v=\sqrt{\frac{2KE}{m} }[/tex]
Step-by-step explanation:
[tex]KE = 1/2mv^2[/tex]
[tex]KE/1/2=mv^2[/tex]
[tex]2KE=mv^2[/tex]
[tex]2KE/m=v^2[/tex]
[tex]\sqrt{2KE/m} =v[/tex]
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
the answer is 2.
when u solve 4-4x+ x^2
you will get your answer 2..
Find the area of a circle whose circumference is 24 pi.
Answer:
452.39 sq.unit is the area of that circle.
And the area
Plz help me anyone.
QUICK!! Identify the parts of this prism. A is ___ B is ___ C is ___
Answer:
c=face. b=vertex. a=line
Step-by-step explanation:
Answer:
a= edge b=vertex c=face
Step-by-step explanation:
write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3
Which graph represents the function f(x) = 2 (2)X?
Answer:
C.) Third graph
Step-by-step explanation:
BeCaUsE i KnOw :P
How much money must be deposited to T
earn $200.00 in simple interest in 6 months at an annual
rate of 5.5%?
Can someone help me please?!
Answer:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 200(1 + (0.055 × 0.5)) = 205.5
A = $205.50
Step-by-step explanation:
Please help meeeeeeee only answered this if you know geometry
Answer:
Step-by-step explanation:
AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.
A photographer takes a picture of a train travelling at the speed of 40m/s.If the camera takes 0.01sec to take picture,how far did the train travel in this time?
Answer: 0.4m
Step-by-step explanation:
From the question, photographer takes a picture of a train travelling at the speed of 40m/s and the camera takes 0.01sec to take picture. We want to know the distance that the train travelled in this time.
Distance = speed × time
Distance = 40m/s × 0.01s
= 0.4m
a line with the a slope of -1 passes through the point 0, -3 what is its equation in slope intercept form
Answer:
y = -x -3
Step-by-step explanation:
Slope intercept form is in the form y= mx+b where m is the slope and b is the y intercept
Plug in the values from the problem
Angle b measures 60 what is the measure of the angle that is complementary to angle b ?
Answer:
30°
Step-by-step explanation:
Complementary is they add up to 90°
90° - 60° = 30°
Answer:
30 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Thus, 60 and (complementary angle) = 90 degrees. Thus, the angle that is complementary to 60 degrees is 30 degrees.
If you used 0.5 ml of sample and 2.5 ml of diluent what is your dilution ratio?
Answer:
1/6
Step-by-step explanation:
I think it is:
0.5/(0.5+2.5) = 0.5/3 = 1/6
E is between D and F. DE = 4x + 2, EF = 3x, and DF = 16.
Answer:
x=2
Step-by-step explanation:
DE=4x+2, EF=3x, and DF=16
DE=4(2)+2, EF=3(2), and DF=16
DE=10, EF=6, and DF=16
One recipe calls for 1/3 cup of flour per batch and the other calls for 1/2 per batch. How much flour will Marcy use if she makes 12 batches for each type of cookie?
Answer:
The answer would be 10 cups
Step-by-step explanation:
Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?
Answer:
128
Step-by-step explanation:
Answer:
I think its C: 102
Step-by-step explanation:
78 + x = 180
180-78 = 102
There were more dragons than knights in the battle. In fact, the ratio of dragons to knights was 5 to 4. If there were 60 knights, how many dragons were there?
Answer:
75 Dragons
Step-by-step explanation:
We know that the ratio is 5 dragons and 4 knights.
Now, there are 60 knights, meaning the original number of knights (4), was multiplied by 15. So, if one side is multiplied by 15, the other side must follow the same rule. So, 15 x 5 = 75.
There are 75 Dragons.
Answer:
75
Step-by-step explanation:
thats a lot of flipping dragons, you better hope they are the size of a dog or youre flipping dead
Can u guys pls help me with my maths
Answer:
um what's your math on??
How do I do this?
I really need help and I don’t understand
Answer:
I think its a trapezium
area of trapezium= 1/2×(sum of parallel sides) ×height
1×(28+26)×18
2
1/2×54×18
54×9
= 586 km²
hope it helps
Solve for d.
–4(–3d − 3) = 6d
d =
Answer:
d = -2
Step-by-step explanation:
→Distribute the -4 to (-3d - 3)
-4(-3d - 3) = 6d
12d + 12 = 6d
→Subtract 6d from both sides:
6d + 12 = 0
→Subtract 12 from both sides:
6d = -12
→Divide both sides by 6:
d = -2
Answer:
[tex] \boxed{d = -2} [/tex]
Step-by-step explanation:
[tex]= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2[/tex]
A farmer wants to plant peas and carrots on no more than 300 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution? (−25, 100) (380, −160) (150, 145) (100, 250)
Answer:
The answer is C.
Step-by-step explanation:
You can't have a negative number of peas or carrots, so A and B are out. 1
00+250=350 which is more than 300.
150+145 = 295 which is less than 300.
So the answer is C.
The solutions of an equation are the true values of the equation.
The only viable solution is (c) (150, 145)
Let x represent peas and y represents carrots.
So, the constraints are:
[tex]\mathbf{x , y \ge 0}[/tex] ---- i.e. the values of x and y cannot be 0
[tex]\mathbf{x + y \le 300}[/tex] ---- i.e. the sum of x and y cannot exceed 300
[tex]\mathbf{x , y \ge 0}[/tex] means that options (a) and (b) are wrong.
This is so, because:
(-25, 100) and (380, -160) contain negative values of x or y
[tex]\mathbf{x + y \le 300}[/tex] means that option (d) is wrong.
This is so, because:
The sum of (100, 250) exceeds 300
Hence, the only viable solution is (c) (150, 145)
Read more about viable solutions at:
https://brainly.com/question/16057582
The price of a rare collection car has increased exponentially
over the past few years with a rate of increase estimated at 5% per year.
At the start of 2015 the value of the car was estimated at £265000.
Estimate the value of the car at the start of 2010.
Round your answer to 3 significant figures.
Answer: £208,000
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original price
r = increase rate (decimal form)
t= years (2015-2010 =5 years)
A = price after t years
Replacing with the values given:
265,000 = p (1+ 0.05)^5
Solving for p
265,000 = p (1.05)^5
265,000 = p (1.05)^5
265,000/ (1.05)^5 =p
p = £207,634. =208,000 (rounded)
Feel free to ask for more if needed or if you did not understand something.
Answer:
208,000
Step-by-step explanation:
Olivia has $143 in the bank. She withdraws $40. Then she deposits $92. Write an addition expression to represent the situation.Then find the sum.
Answer:
The addition expression to represent the situation is $143 + ( - $40 ) + ( $92)
Sum is $195
Step-by-step explanation:
Given: Olivia has $143 in the bank. She withdraws $40. Then she deposits $92
To find: addition expression to represent the given situation. Also, to find the sum
Solution:
Amount in the bank = $143
Amount withdrawn from the bank is denoted by the minus sign
So, amount withdrawn from the bank = - $40
Amount deposited in the bank is denoted by the plus sign
So, amount deposited in the bank = +$92
Therefore,
the addition expression to represent the situation is $143 + ( - $40 ) + ( $92 )
Also,
$143 + ( - $40 ) + ( $92 ) = $143 - $40 + $92 = $195
A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects one candy from each, and counts the number of green candies. If there are 7, 8, or 9 green candies, Steve will conclude that the company's claim is correct. What is the probability of Steve agreeing with the company's claim? Use Excel to find the probability.
Answer:
45.88%
Step-by-step explanation:
We have in this case a binomial distribution when p = 0.25, since the probability is 25%
. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.
In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:
P (X = 7) + P (X = 8) + P (X = 9)
Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)
P = 0.1546 + 0.1610 + 0.1431
P = 0.4588
Probability that steve agrees with the company's claim 45.88%
Ok so I wanted to make sure my math was correct
Is 274.43 - 20.46 - 25.89 = 228.08
yes you are absolutely correct....
⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔
mark it as brainliest... ✌✌✌the answer which you have done is correct !
Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an identical watch costs £145. Given that £1=1.55CHF a) In which city is the watch cheaper. b) By how much is it cheaper (in £) i need help on part b , pleeeeaseeee help;(
Answer:
The watch is cheaper in Geneva, Switzerland by a value of £20
Step-by-step explanation:
To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.
Since pounds is also used in the b part of the question, it would be easier working with it.
In Geneva, the price of the watch is 193.75 CHF
from our conversion formula;
£1 = 1.55 CHF
£x = 193.75 CHF
We cross multiply to get the value of x
(193.75 * 1)/1.55
= 193.75/1.55 = £125
We can see that the watch costs less in Geneva and higher in Manchester
By how much is it cheaper?
We can calculate this by subtracting the value in Geneva from the value in Manchester
That would be 145-125 = £20 cheaper
A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank is 2.8 m. How long must the sloping section of the ramp be? Give your answer to the nearest centimetre.
Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m