Hey there!
The answer to your question is y = -3/4x - 3
If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:
y = -3/4x + b
Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:
-6 = (-3/4)(4) + b
-6 = -3 + b
-3 = b
We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3
Hope it helps, and have an amazing day! You've got this!
The equation of the line is 4y + 3x +12 = 0.
What is slope intercept form of a line?If a line has a given slope m and cuts a given intercept c on the y axis, then then equation of the line can be written as y = mx + c .
Given,
The line is parallel to the line y = -3/4x + 1.
Also, the line y = -3/4x + 1 has slope equal to -3/4.
Therefore, value of m = -3/4.
The required line is y = -3/4x + c
But, the line also passes through (4,-6).
Therefore, -6 = -3/4(4) +c
or c = -6 + 3
c = -3
Substituting c and m in y = mx + c:
y = -3/4x + (-3)
Hence, the required line is 4y + 3x +12 = 0.
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a packet contains 6 maths books each of length 25 CM 20 cm and height 2 cm what is the volume of the packet
Step-by-step explanation:
1book valume = 25cm×20cm×2cm=1000cm³
a packet valume = 6×1000cm³ = 6000cm³
Answer:
216000 cm3
Step-by-step explanation:
length of packet = 6 × 25 cm = 150 cm
breadth of packet = 6 ×20 cm = 120 cm
height of packet = 6 × 2 cm = 12 cm
Now,
volume of packet = l×b×h = 150 cm × 120 cm × 12 cm
= 216000 cm3
If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units
What is the 10th term of 300, 150, 75
Answer:
So the pattern is dividing in half
So 300, 150, 75
We have the first 3 terms
The 4th term: 37.5, 18.75,
So we get the 10th term: 0.58
Help please! worth a lot of points! Screenshot included
Answer:
x=44444444444444444444444444444444
Step-by-step explanation:
Answer:
.2
Step-by-step explanation:
please help me?!!
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answer:
The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Step-by-step explanation:
Let u be the rate of the motorboat in still water (in kilometers per hour),
let v be the rate of the current.
Then the rate of the motorboat going downstream is u+v km/h,
while its rate going upstream is u-v km/h.
From the other side, the rate of the motorboat going downstream is 150/3=50km/h = 30 km/h.
Thus you have these two equations
u + v = 50 (1) (for the rate downstream), and
u - v = 30 (2) (for the rate upstream).
To solve the system, add equations (1) and (2). You will get
2u = 50 + 30 = 80; hence,
u = 80/2 = 40 km/h.
Then from the equation (1), v = 50 - u = 50 - 40 = 10 km/h.
ANSWER. The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines
What is m∠P? There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Answer:
94°
Step-by-step explanation:
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Sum of angles in a pentagon = 540°
Hence:
PQR + QRS + RST +STP + TPQ = 540 °
132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°
132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540
132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°
241 +13x = 540
13x = 540 - 241
13x = 299
x = 299/13
x = 23
What is m∠P?
m∠P in Pentagon PQRST = TPQ
TPQ = 4x + 2
= 4 × 23 + 2
= 94°
Please Solve!!!!
And show steps
log(x+4)+ log(x)= log(x+4)
Answer: log(x+4) + log(x)=log(x+4)
Group like terms
log(x+4)-log(x+4)=-log(x)
Log((x+4)/(x+4))=-log(x)
log(1)= -log(x)
log(1)=0
=> 0=log(x)
x=10^0
x=1
Step-by-step explanation:
Before one can solve log questions, he/she must know the laws.
Put x= 1 in to the main equation to test your answer
Log(5) +log(1)=log(5)
log (1) is 0
log(5)=log(5)
Solve using quadratic formula.
[tex]4 {s}^{2} + 8s + 4 = 0[/tex]
Which expression represents the volume of the pyramid? One-thirdn(n − 1) units3 One-thirdn(n − 1)2 units3 One-thirdn2(n − 1) units3 One-thirdn3(n − 1) units3
Answer:
The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"
Step-by-step explanation:
Please find the complete question in the attachment file.
The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]
In the question if:
[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]
apply the value in the volume formula:
[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]
[tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]
Answer:
option C). 1/3^2(n − 1) units3
Step-by-step explanation:
just took test
Determine the value of x.
Answer:
the answer is your first choice
The area of a 12-cm-wide rectangle is 180cm. what is its length?
Answer:
15cm
Step-by-step explanation:
180/12=15
I'm so confused............................................
Answer:
Step-by-step explanation:
a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.
Guys I really need help on this please
Answer:
The answer is 26.2.
Step-by-step explanation:
To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we convert 70% into a decimal which is 0.70. then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.
Hope this helps!
20 points!!
What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
Answer:
3, 8, 13, 18
Step-by-step explanation:
foci of ellipse of 3x2 + y2 =9
Answer:
x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3
Step-by-step explanation:
Let's solve for x.
3x2+y2=9
Step 1: Add -y^2 to both sides.
3x2+y2+−y2=9+−y2
3x2=−y2+9
Step 2: Divide both sides by 3.
3x^2/3= -y^2+9/3
x^2=-1/3 y^2 +3
x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3
Hope it helped!
A party planner wants 220 balloons in each of the 3 rooms. If balloons come in packages of 50 balloons, how many packages must be bought to fill the 3 rooms?
Answer:
14 packages.
Step-by-step explanation:
The total number of balloons needed is 3 * 220 = 660 balloons
To find the number of packages
660 / 50 = 13 with a remainder of 10.
Normally, you would round down, but not with this question. You need to buy a whole package to get the 10 left over balloons.
The answer is 14 packages.
What is the slope of the line that passes through the points (-7. 10) and (-5,5)?
pls help asap will give brainliest
Answer:
270.5
Step-by-step explanation:
*sigh* here we go again ok
separate it into a rectangle and semicircle
12*16=192
circle is pi(r)^2/2 so
5^2=25
25*3.14=78.5
78.5+192=270.5
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
PLS HELP MEEEEEE ( I don’t need to know the first one )
Answer:
k=27
Step-by-step explanation:
Answer:
direct variation is y = kx
k is the slope of the line y = mx + b
i don't know that last one, sorry
Step-by-step explanation:
What percent of 18 is 24?
Answer:
133.33%
Step-by-step explanation:
you can find this by doing 24/18x100, which is equal to 133.33
Answer:
133%
Step-by-step explanation:
We're going to divide [tex]\frac{24}{18}[/tex].
That equals about 1.33 repeating.
Next, we're multiplying that decimal by 100.
That gets us 133.
*URGENT* I NEED HELP WITH THIS QUICK
Answer:
A. Choice 2
B. Choice 1
C. Choice 2
D. Choice 1
Step-by-step explanation:
So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.
A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2
B. In the equation you can tell that every time you will be adding 16, so choice 1
C. Since it's being multiplied by 0.75 each time, it's choice 2
D. Every time y grows by 12, so it's choice 1.
HELP PLSS !!
Margot is studing the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that occurs. She finds the linear regression (line of best fit) to by y=47.3+0.73x
If an additional 1 inch of rain fell, how many MORE bushels of wheat would be yielded
0.78
60.64
48.08
47.3
Answer:
its c 48.08 im pretty sure
Step-by-step explanation:
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
Write the ratio in simplest form.
Answer:
1/5
Step-by-step explanation:
Answer:
The answer to the question provided is 3: 15
3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?
Answer:
Minimum 3 squares.
Step-by-step explanation:
Let the number of identical squares that will fit in the rectangle = x
Sum of the area of the squares = Area of the given rectangle
x(Side length of the square)²= (length of the rectangle × width of the rectangle)
x(S)²= (40 × 90)
x(S)²= 3600 cm²
For the minimum numbers of the squares,
If x = 1,
S = √3600 = 60 cm
But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.
If x = 2,
2S² = 3600
S² = 1800
S = √1800
S = 42.43 cm
Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.
If x = 3,
3S² = 3600
S² = 1200
S = √1200
= 34.64 cm
Therefore, minimum 3 squares can be fitted in the given rectangle.
Pls help and SHOW WORKINGS..
Helpppp pllzzz & thx
In circle B, find x if m A = 3x + 9 and m B = 8x – 4.
The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
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Help me please! I'm stuck and I need the answer now! Thx so much!
Answer:
34Step-by-step explanation:
Given
z = -3 + 5iConjugate of z is:
z' = -3 - 5iProduct zz' is:
zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34If ,
[tex]\bold{z=-3+5i }[/tex]
so,conjugate of z
[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]
Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.
so,
According to the question,
z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)
[tex]\bold{(-3)^2-(5i)^2 }[/tex]
[tex]\bold{9-25(-1) }[/tex]
[tex]\bold{ 9+25 }[/tex]
[tex]\bold{ 34 }[/tex]