Let's solve this problem step by step:
⇒ on one side, I solve the equaiton
⇒ on the other side, I give you the property that I use to solve the
equation
⇒ you don't need to write down those properties if your teachers
didn't ask you for it
[tex]4(5x-2)=2(9x+3)\\[/tex] | Given equation
[tex]20x-8=19x+6[/tex] | Distributive Multiplication over subtract/add
[tex]x=14[/tex] | Subtraction Property of Equality
Answer: x = 14
Definition of Properties:
Distributive Property of Multiplication over subtraction/addition: it says that the product of a number and the difference/adding of two other numbers is equal to the difference/sum between the products of the distributed number.Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the samePLEASE HELP! 20 POINTS!! PIC ATTACHED :)
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
please help- ive provided an image btw
Answer:
Just plug in the values and then calculate :[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]
[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]
---------- HappY LearninG <3 ------
Answer:
the answer is 34
Step-by-step explanation:
see the image
Solve for x.
4^0.2x + 6 = 43, enter your answe with four decimal places.
Answer:
13.0236
Step-by-step explanation:
4^0.2x +6=43
(2^2)^0.2x +6=43
2^2*0.2x +6=43
Help with this question please
Answer:
See below
Step-by-step explanation:
(a)
[tex]\angle A\cong \boxed{\angle Z}[/tex][tex]\angle B\cong \boxed{\angle Y}[/tex][tex]\angle C\cong \boxed{\angle X}[/tex](b)
[tex]\overline{AB}\cong \boxed{\overline{ZY}}[/tex][tex]\overline{AC}\cong \boxed{\overline{ZX}}[/tex][tex]\overline{BC}\cong \boxed{\overline{YX}}[/tex](c)
[tex]\triangle CAB \cong \triangle \boxed{XZY}[/tex]The coordinates of quadrilateral jklm plotted on a coordinate plane are j(-2,3), k(3,7), l(6,5) and m(1,1).
enter a number in the box to complete the sentence.he perimeter of the quadrilateral is 90units. round your answer to the nearest tenth.
The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.
What is the Perimeter of a Quadrilateral?Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.
Given the coordinates of quadrilateral JKLM as:
J(-2,3)K(3,7)L(6,5)M(1,1)Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .
JK = √[(3−(−2))² + (7−3)²]
JK = √41
JK ≈ 6.4 units
KL = √[(3−6)² + (7−5)²]
KL = √13
KL ≈ 3.6 units
LM = √(1−6)² +(1−5)²]
LM = √41
LM ≈ 6.4 units
JM = √(1−(−2))² + (1−3)²]
JM = √13
JM ≈ 3.6 units
Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.
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Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?
A. x√2
B. x √3/2
C. x^2/2
D. 2x√2
Answer:
Hello your answer is either A. B. C. OR D.
Step-by-step explanation:
This is correct cus it cant be wrong
also my other acc
is brokededed =(
Answer:
it could be one of those answers
Step-by-step explanation:
:P
Nuggets~
-3(v+1)-3
What is the answer I really need help
Answer:
=-3v-6
Step-by-step explanation:
Distribute:
=(−3)(v)+(−3)(1)+−3
=−3v+(−3)+(−3)
Combine like terms:
=(−3v)+(−3+(−3))
=−3v+−6
=-3v-6
Hope this helps, this was easy!
The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.
Answer:
7 ft ×6 ft
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W ft respectively.
Form 2 equations using the given information:
LW= 42 -----(1)
L= 3W -11 -----(2)
Substitute (2) into (1):
(3W -11)(W)= 42
Expand:
3W² -11W= 42
3W² -11W -42= 0
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Applying quadratic formula:
[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]
[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]
[tex]W= \frac{ 11± 25}{6} [/tex]
W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)
Substitute W= 6 into (1):
L(6)= 42
L= 42 ÷6
L= 7
Thus the dimensions of the rectangle is 7 ft ×6 ft.
Please help with this! Thanks
a) The arrangement of 9 paintings can be done 9 ways.
b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
a) Here if she has 9 paintings so the number of the arrangements will be
[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]
b) The arrangement of the 4 out of 9 paintings will be
[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]
Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.
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Segment side a e is 7 inches and side a h is 7 startroot 3 endroot inches. what is the length of side e h? round to the nearest tenth. a cube. the top face has points a, b, d, c. the bottom face has points e, f, h, g. 7.0 inches 9.9 inches 12.1 inches 14.0 inches
The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches
How to use Pythagoras theorem?Pythagoras theorem can be used to find eh.
Therefore,
c²= a² + b²
where
c = hypotenuse sidea and b are the other two legs.Therefore,
AE = 7 inches
AH = 7√3 inches
Therefore,
EH² = ( 7√3 )² - 7²
EH² = 147 - 49
EH = √98
EH = 9.89949493661
EH = 9.9 inches
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Answer: ITS BBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
Answer:
Step-by-step explanation:
Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.
Step-by-step explanation: Trust Me! Answer is correct in Edge.
Good Luck! :)
The slope of diagonal PS is -1 The slope of diagonal QR is 1The midpoint of PS is (2, 2) The midpoint of QR is (2, 2)The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same point.Solve for r. -4 + 2r-5r = 17 = [?] r =
Answer:
r = -7
Step-by-step explanation:
-4 + 2r - 5r = 17
=> 2r - 5r = 17 + 4
=> -3r = 21
=> r = 21/(-3)
=> r = -7
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Please Help!
The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Volume of the box = l×w×h
150 = l×w×h
h = 2 in
l = 10+w
150 = (10+w)(w)(2)
150 = 2w(10+w)
After solving, we get:
w = 5 or w = -15
Width cannot be negative.
w = 5 in
Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
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hello is anyone free to help me?
Probality is given by the ratio of the number of the one type of product to the total number of the product .
so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple
so green apple = 10- 7 = 3 apples
If stu=(13x-6), msu=(21x+8) and mut=143 find mst
The value of arc ST in the circle with center at point V is 125 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
mSU = 2 * ∠STU (angle at center is twice angle at circumference)
21x + 8 = 2(13x - 6)
x = 4
mSU = 21(4) + 8 = 92°
mSU + mUT + mST = 360° (angle in a circle)
92 + 143 + mST = 360
mST = 125°
The value of arc ST in the circle with center at point V is 125 degrees.
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Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?
The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?
A system of equations is a set or collection of equations that you deal with all together at once.
Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
The price of 26 delicious burritos and 27 orders of savory chips for $86.90
4 more burritos and 9 more orders of chips for $40.70
Let us consider the price of Burritos is x
and the price of savory chips is y
from the first statement we can form the equation
26*x +27*y = 86.9
and from the second statement we can form the equation
14*x + 9*y= 40.70
To determine the price of each we have to solve these system of equations.
On solving using elimination method
16x = 35.2
x = $2.2
and y = $1.1
Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.
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The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?A system of equations is a set or collection of equations that you deal with all together at once.
The price of 26 delicious burritos and 27 orders of savory chips = $86.90
The price of 14 more burritos and 9 more orders of chips = $40.70
Let us consider the price of Burritos is x
and, the price of savory chips is y
Now,
26x +27y = 86.9
and
14* + 9*= 40.70
On solving above two equation, we get
16x = 35.2
x = $2.2
and y = $1.1
Hence, price of Burritos is $ 2.2 and the price of savory chips is $1.1.
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12
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
Answer:
Here is the ans...hope it helps
Can you please help me. The question is in the attachment. THIS IS WORTH 15 POINTS
Answer:
Length = 14 and width = 7 cm,
Step-by-step explanation:
Let the width be x cm then the length is 2x cm
2x + 2(2x) = 42
6x = 42
x = 7
Length = 14 and width = 7.
y varies inversely as x and y = 11 when x = 8. Determine the value of y when x = 16
22
5.5
17
34
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's get started ~
According to question :
[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]
where, k = proportionality constantNow, we have been given that when y = 11, x = 8
Let's plug these values in equation to find value of k ~
[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]
[tex]\sf \dashrightarrow k = 11 \times 8[/tex]
[tex]\sf \dashrightarrow k =88[/tex]
we got the value of proportionality constant. now we have been asked to find the value of y when x = 16
So, let's use the equation ~
[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]
[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]
[tex]\sf \dashrightarrow y = 5.5[/tex]
I hope you understood the whole procedure ~
Which is greater: 10 centimeters or 103 millimeters? How much greater?
PLEASE HELP
Answer:
Step-by-step explanation:
103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more
How do I do this? Please help
Answer:
720km
Step-by-step explanation:
12000 steps = 2 feet * 12000 = 24000 feet
= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm
= 720000cm = 720000 / 1000 = 720km
i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?
The area of a rectangle is 6x^2+8x+2. The length of the rectangle is 3x+1. What is the width?
Answer:
A=L*W
Step-by-step explanation:
6x²+8x+2=LX(3x+1)
2x+2
find the area use 22/7 for π
Answer:
~201
Step-by-step explanation:
Use the area formula: [tex]A=\pi r^2[/tex]
22/7 x 64 = 201.14
which rounds to 201
Is this true or false
Answer:
False
Step-by-step explanation:
Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.
What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this? a. 0.2975 b. 0.0525 c. 0.0975 d. 0.5525 e. 0.6325
The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:
a. 0.2975.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, we have that the events are as follows:
Event A: Carbon emission beyond the permissible emission level.Event B: Test predicts this.We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:
[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]
[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]
Which means that option a is correct.
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question on absolute value
|x +1|+|x −2|=3
Helpppp pleaseeeee is
Answer:
Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)
a. (4/8 - 1/8)/(4/2 - 1/2)
3/8 / 3/2
3/8 x 2/3 = 2/8 = 1/4
y - 1/8 = 1/4(x - 1/2)
y - 1/8 = 1/4x - 1/8
y = 1/4x
b. (1400 - 1200)/(1000 - 500)
200/500 = 2/5
y - 1200 = 2/5(x - 500)
y - 1200 = 2/5x - 200
y = 2/5x + 1000
c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95
y - 13.95 = 13.95(x - 1)
y - 13.95 = 13.95x - 13.95
y = 13.95x
d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156
y = .16(x - 0)
y = .16x
or y = .156x
Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:
Answer:
See below ~
Step-by-step explanation:
Part 1 - Acceleration when t = 3
Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²Part 2 - Deceleration when t = 12
Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²Part 3 - Total Distance Covered
Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m2. From t = 4 to t = 8
S = 22 x 4 = 88 m3. From t = 8 to t = 15
77m (found in Part 2)Total distance = 66 + 88 + 77 = 231 m
Part 4 - Average Speed
Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s2. Avg. Speed (t = 4 to t = 8)
88/4 = 22 m/s3. Avg. Speed (t = 8 to t = 15)
77/7 = 11 m/sAverage Speed = 16.5 + 22 + 11 / 3
49.5/316.5 m/sSolve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them