Answer: The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.
Step-by-step explanation: An line perpendicular to perpendicular to the line y = 4x + 3 would have a slope that is the negative inverse of the refernce line. That would make the new line's slope -(1/4), the negative inverse of 4,
We can write the new new as y = -(1/4)x + b. b, the y-intercept, is +3 in the original equation, but it will change for the new line. We can calculate the new y-intercept by using the one point, (-4,-2) that we know is a solution for the equation (it falls on the line).
y = -(1/4)x + b
-2 = -(1/4)(-4) + b
-2 = 1+b
b = -3
The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.
X/x-3 + 2x+2/x^2-2x-3
Answer:
x+2/x-3
Step-by-step explanation:
= x/x-3 + 2(x+1)/(x-3)(x+1)
= x+2/x-3
If the area of a triangle is 30 in.? and the base is 5 in., what is the height?
\angle B=∠B=angle, B, equals ^\circ ∘ degrees Round your answer to the nearest hundredth.
ANSWER IS:∠B=56.25
Answer:
<B is 53.13degrees
Step-by-step explanation:
Find the diagram attached
Given
Opposite side= 4 (side facing <B)
Adjacent side = 3
Required
<B
According to SOH CAH TOAS identity
tan theta = opp/adj
tan<B = 4/3
<B = arctan(4/3)
<B = arctan(1.3333)
<B = 53.13 degrees
Hence the angle <B is 53.13degrees based on the diagram
28 and 29 thank you no links please
Answer:
105 cubric centemeters
Step-by-step explanation:
V = w x h x l
V = (5cm) (3 cm) (7 cm)
V = 105 cubic centemeters
Claudia works at a sweet shop making chocolate-dipped bananas. Sometimes she drops the chocolate-
dipped bananas before she can get them to the freezer. Claudia earns 20 cents for every frozen banana that
she makes. She loses 5 cents for each frozen banana that she drops. Last Wednesday, Claudia dipped 48
frozen bananas, but not all of them made it to the freezer. She earned a total of $7.60. How many bananas
were dropped and how many made it to the freezer? Define your variables and write a system of
equations representing this situation. Solve the system by using either graphing, substitution, or
elimination.
Here is the work i did for it!
Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?
Answer:
66 pages
Step-by-step explanation:
I think that is the answer hope it helps you.
this is so confusing to me
a.) 990 is the TOP volume.
b.) 825 is the BOTTOM volume.
c.) 1815 is the total volume.
Hope it helps!
- JK Mitsu
#SpreadTheLove
_________________________________________
Some help so you can be independent next time!
1.) Finding the top volume mean multiplying the height of the top (6 m) , width, and length.
2.) Finding the bottom is the height of the bottom (5 m) , width, and length.
3.) Finding the total is adding both bottom and top!
A cylinder has a radius of 5 centimeters
and a height of 17 centimeters. What is
the total surface area of the cylinder?
Use 3.14 for
SA for a cylinder = 2 pie r squared + 2 pie r h
= 2 x pie x 25 + 2 x pie x 5 x 17
= 220 pie or 690.8 if you use 3.14 instead of the full value
ABCD is a kite, so AC I DB and DE= EB. Calculate the length of AC, to
the nearest tenth of a centimeter.
B
с
E
A
4 cm
3 cm
4 cm
The length of the side AC will be equal to 5.69 cm
What is quadrilateral?A figure consisting of four sides connected together and forming a total angle of 360 degrees is called a quadrilateral.
Given that:-
ABCD is a kite, so AC I DB and DE= EB.
AD = 4 cm BD = 4 cm and CD = 3 cm.
The side AC will be calculated as:-
Since AC is bisecting the line BD so BE = ED and BE = 2 cm and ED = 2 cm. WE have AD = 4 cm so we will calculate AE first by using the Pythagorean theorem.
AE² = AD² - ED²
AE² = 4² - 2²
AE² = 16 - 4 = 12
AE = √12 = 3.46 cm
Similarly, we will find the value of EC.
EC² = 3 ² - 2²
EC² = 9 - 4 = 5
EC = √5 =2.23
WE know that AC = AE + EC
AC = 3.46 + 2.23
AC = 5.69 cm
Therefore the length of the side AC will be equal to 5.69 cm
To know more about quadrilaterals follow
https://brainly.com/question/16691874
#SPJ1
A $60 video
game is on sale
for 50% off
How much does
It cost after the
discount?
32$
50$
30$
Answer:
It would be 30$.
Step-by-step explanation:
Lets break this down.
50% off 100 would be 50. 50 is half of 100, therefore we know that 50% is half off of something.
We can either divide 60 by 2, or split 60 in half. In turn, we receive 30.
Hope this helps! c:
On Saturday Rhonda filled 3 1/3 buckets with shells. On Sunday she filled 4 2/3 buckets with shells. How many more buckets of shells did Rhonda fill on Sunday.
Aram has been studying the mathematics behind pinball machines. He made the following diagram of one of his
observations. Determine the measure of the missing angle.
Given:
A diagram of Aram's observations.
To find:
The measure of the missing angle.
Solution:
From the given figure it is clear that the three angles [tex]52^\circ,x^\circ,68^\circ[/tex] lie on a single point and right side of a straight line.
So, the sum of angle [tex]52^\circ,x^\circ,68^\circ[/tex] must be [tex]180^\circ[/tex].
[tex]52^\circ+x^\circ+68^\circ=180^\circ[/tex]
[tex]x^\circ+120^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-120^\circ[/tex]
[tex]x^\circ=60^\circ[/tex]
Therefore, the measure of the missing angle is [tex]x^\circ=60^\circ[/tex].
PLS HELP WILL GIE BRAINLEAST!!
Answer:
x = 2/3
Step-by-step explanation:
Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help
Answer:
1) x = 15
Step-by-step explanation:
We use the Pythagorean thm for these questions. Where a and b are the legs (So order doesn't matter), and where c is the hypotenuse
1)
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
You square root each side so you can get rid of the exponent on x.
[tex]\sqrt{x^2} =\sqrt{225}[/tex]
x = 15
A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?
The total volume of the composite figure is 64 in³.
Volume of a rectangular prismThe volume of a rectangular prism, V = lwh where
l = length, w = width and h = heightVolume of horizontal rectangular prismSince horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,
l = 8 in, w = 2 in and h = 2 in.So, its volume V' = lwh
= 8 in × 2 in × 2in
= 32in³
Volume of vertical rectangular prismSince the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,
l = 2 in, w = 2 in and h = 8 in.So, its volume V" = lwh
= 2 in × 2in × 8 in
= 32 in³
Volume of composite figureThe volume of the composite figure V"' = V' + V"
= 32 in³ + 32 in³
= 64 in³
So, the total volume of the composite figure is 64 in³.
Learn more about volume of rectangular prism here:
https://brainly.com/question/16065525
Ashley needs to drive 17 miles to work. So far, she has driven 7.2 miles. How many more miles must she drive?
9514 1404 393
Answer:
9.8 miles
Step-by-step explanation:
The number of miles to go is the difference between the miles to work and the miles traveled so far:
17 -7.2 = 9.8 . . . miles to go
Whats the slope using rise/run?
Answer:
-4,1
Step-by-step explanation:
Y is at -1,1
X is at -5,0
subracting we get -4,1
since it’s rise over run
-4,1
so -4
8r + 12s + 2
HELP FAST WILL GIVE BRAINLYEST
- 3y + 4xy -2x^2 + 2x + y^2 - 4xy + 2y + 3x^2
Answer:
x² + y² + 2x - y
Step-by-step explanation:
-3y + 4xy - 2x² + 2x + y² - 4xy + 2y + 3x²
3x² - 2x² + y² + 2x - 3y + 2y + 4xy - 4xy
x² + y² + 2x - y
On a coordinate plane, a rectangle is shown. It has points (2, 3), (4, 9), (7, 8), and (5, 2).
A rectangular table is positioned in a 10-foot by 10-foot room as shown.
How long is the longer edge of the table?
Square root of
feet
What is the area of the tabletop?
square feet
Answer:
the answer is 40 for the first one and 20 for the second one
Step-by-step explanation:
just did it and it was right
Answer:
40, 20
Source:
Trust me bro
Pls, help thanks bye!! I will mark you brainiest ~
Answer:
[tex]x_{123}[/tex]49 just add it on
Step-by-step explanation:
Answer:
Step-by-step explanation:
9(2n + 1)
18n + 9
For any number n>1, is
|(5 – 3i)^n|
A. greater than 1?
B. less than 1?
C. equal to 1?
Answer:
A.greater than 1
Step-by-step explanation:
1. take away all the symbols
2. 5-3
3.5-3=2
4. is 2 greater than 1
5. yes
6. answer is A.
Find the perimeter of the figure.
Answer:
Option : D
Step-by-step explanation:
Hope it helps you!
Answer:
d. 78 in
Step-by-step explanation:
Perimeter of the figure = Perimeter of parallelogram - 14 + Perimeter of semicircle
[tex] = 2(21 + 14) - 14+ \frac{1}{2} \times \pi \: d \\ \\ = 2 \times 35 - 14 + \frac{1}{2} \times 3.14 \times 14 \\ \\ = 70 - 14 + 3.14 \times 7 \\ \\ = 56 + 21.98 \\ \\ = 77.98 \: \\ \\ \approx \: 78 \: in[/tex]
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Answer:
[tex]volume \: = \: \pi \times r {}^{2} \times length(height) \\ = 3.14 \times 2f \times 17ft \\ = 106.76ft {}^{3} [/tex]
Answer:
V = 106.76ft
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder: V = πr2hCalculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrhCalculate the top and bottom surface area of a cylinder (2 circles): T = B = πr2Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)50 POINTS MARKING BRAINLIEST PLEASE HELP! Find the surface area of the cube. (2 pts correct answer, 1 pt for showing your thinking)
Answer:
150cm²
Step-by-step explanation:
Side= 5cm
So, 6x5²=6x5x5
6x5x5=150cm²
Hope it elps, plz mark me as brainliest.
7a = 28 Is a=21 a solution?
yes or no
Answer:
No
Step-by-step explanation:
No because if a = 21, then 7 * 21 = 147 and 147 is not 28.
Deluxe limousine service charges $2 for the initial pickup of the passenger and then $1 per mile
Guys pls help me!!!!!!!!
Answer:
4
Step-by-step explanation:
The graph is moved up by 4, that is why it says +4 in the equation
Answer:
I'm pretty sure it's A
Step-by-step explanation:
If not i'm sorry but after reviewing the question i believe it is A
Hope this helps
Can someone help me please
Answer:
c as it is on a straight line
Answer:
C. 2x + 58 = 180
Step-by-step explanation:
Not 100% sure but I hope this helps you!
&
21
A
2
Which relation is displayed in the graph?
O {(-2, 3), (1, 1), (0, 1), (3, 2), (-2, 4)}
O {(-3, 2), (-1, -1), (1, 0), (2, 3), (4, 2)}
O {(-3, -2), (1, -1), (0, 1), (2, 3), (4, -2)}
Answer:
The answer is C
Step-by-step explanation:
By looking at the graph, you can instantly tell that the first point is (-3,-2) which immediately eliminates the other choices