Answer:
3x/2 + 3y
Step-by-step explanation:
Given the expression 1/4 ( 3x + 4y ) + 3 ( 1/4 x + 2/3 y)
Open the parentheses
= 1/4(3x) + 1/4(4y) + 3(1/4x) +3(2/3y)
= 3/4 x + y + 3/4 x +2y
Collect like terms
3/4 x +3/4 x +y+2y
6/4 x + 3y
3x/2 + 3y
Hence the correct expression is 3x/2 + 3y
Find the area of the trapezoid
Answer: 1. 54, 2. 48
Step-by-step explanation: To find the area of a trapezoid you add the top base and the bottom base then divide them by two, and multiply them by the height.For #1. 8+10/2= 9 then 9x6=54 For #2. 4+12/2=8 then 8 x 6=48.
Answer:
Figure it out using this: Area= 1/2(Base 1 + Base 2) x Height
Bases are the tops and bottoms of the trapezoids
Step-by-step explanation:
HELP
NO LINKS
I NEED TO TURN THIS IN ASAP I APPRECIATE ALL HELP
2 % of 687.28 m Give your answer rounded to 2 DP.
Answer:
13.75m
Step-by-step explanation:
The measure of L in triangle LMN is 32°. The measure of M is 69°. What is the measure of N?
A.
79°
B.
259°
C.
101°
D.
37°
Answer:
A) 79
Step-by-step explanation:
m<N = x
All angles in a triangle add up to 180 so:
x + m<L + m<M = 180
x + 32 + 69 = 180
x + 101 = 180
x = 180 - 101
x = 79
Answer:
It is (A) 79°
The summation of the triangle's angles are 180°
Step-by-step explanation:
[tex]m + l + n = 180 \\ 69 + 32 + n = 180 \\ n = 180 - 101 \\ n = 79 ^{ {} ^{.} } [/tex]
Marco picked answer A for the following problem. Why is that not the correct answer?
El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
(2p^3 · 2p)^2
HELLO I NEED HELP
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
(2p^3 · 2p)^2 We are gonna be simplifying
(4p^4)^2
Step 2
(4p^4)(4p^4)
16p^8
So therefore your answer would be 16p^8
Hope this helps
explain how you solved 72 ÷ 8 pls
Plz help me! Brainlist will be picked.
Answer:
$2.96
Step-by-step explanation:
1.15x = 3.40 x = last year's price. If there price was exactly the same, I would put 1x, but this year's price is 15% or .15 higher.
1.15x = 3.40 Divide both sides by 1.15 and round to the nearest cent.
x = 2.96
Check:
Last year + 15% (.15)
2.96 + .15(2.96)
2.96 + .44 rounded to the nearest cent
3.40
PLZ HELP ITS DUE NOW NO LINKS
Answer:
show the options
Step-by-step explanation:
Brainliest?
GIVING BRAINLIEST !!!
Which images below are scalene triangles?
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer:
c and d
Step-by-step explanation:
.............. just for filling 20 characters
Answer:C AND D
Step-by-step explanation:
Simplify the expression: 2 = (a + 5) =
Answer:
a+7
Step-by-step explanation:
Iria made a scaled copy of the following triangle. She used a scale factor greater than 111.
What could be the length of the base of the scaled copy of the triangle?
Find the value of a when x=10 a=5x(squared)/2
Answer:
a = 5(10²)/2
a = 5(100)/2
a = 250
Solve the equation and check.
7y +9=5y-3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O c. There is no solution,
Answer:
y= -6 I used goo gle!!
if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)
Answer: -1
Step-by-step explanation: ANSWER : -1
f(x)=3x−1=y
⇒x=3y+1
∴f−1(y)=3y+1
⇒f−1(x)=3x+1
g(x)=5x+6=z
⇒x=5z−6
g−1(z)=5z−6
⇒g−1(x)=5x−6
g−1(f−1(x))=g−1(3x+1)
=53x+1−6
=15x−17
∴g−1(f−1(2))=
Solve for x. round to the nearest tenth. please help!!
Answer:
∠x = 39.6°
Step-by-step explanation:
tan x = 19/23 = 0.8261
x = 39.6°
solve for x and show your work
2x + a= b
Answer:
x = b-a/2
Step-by-step explanation:
2x + a = b
2x = b-a
x = b-a/2
What is the answer to this?
Answer:
DG=9
Step-by-step explanation:
2x-4=x+7
x-4=7
x=11
x-2=11-2=9
While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?
Answer:
1514 feet
Step-by-step explanation:
We solve using the trigonometric function of Sine
sin θ = Opposite/ Hypotenuse
θ = Angle of depression = 53°
Opposite = Vertical height = 1209 feet
Hypotenuse = x =??
Hence,
sin 53 = 1209 feet/x
Cross Multiply
sin 53 × x = 1209 feet
x = 1209 feet/ sin 53
x = 1513.8320107 feet
Approximately = 1514 feet
Therefore, the distance Lisa must ski to reach the lodge is 1514 feet
hi please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
hi please helpppppppp
Answer:
The answer is C
Step-by-step explanation:
Hope it helps:)))
Can i have brainy plzzz
can someone please help me
Answer:
y - 24 = - 7(x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)
m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7
Using m = - 7 and (a, b) = (- 4, 24 ) , then
y - 24 = - 7(x - (- 4)), that is
y - 24 = - 7(x + 4)
I need help quick it is due in 3 hours
Answer:
20.24
Step-by-step explanation:
Recall SOH, CAH, TOA and realize that TOA is the easiest one
we have
[tex]tan(39)=\frac{x}{25}\\tan(39)*25=x\\20.24=x[/tex]
is it true or false??
Answer:true
Step-by-step explanation:
It would be -6 which is less that -9
1. A rocket is launched from the top of a 200-foot tall cliff with an initial velocity of 120 feet per second.
The height, h(t), of the rocket at time i seconds after it was launched can be modeled by the equation
h(t) = -16t^2 120t+ 200
a. What was the height of the rocket after 1 second?
b. What is the maximum height of the rocket?
c. How long did it take the rocket to reach its maximum height?
d. How long does it take the rocket to hit the ground?
Answer:
a. 304 feet
b. 425 feet
c. 3.75 seconds
d. It will take the rocket approximately 8.9 seconds to hit the ground
Step-by-step explanation:
1. The given data of the question including the question relationships are listed as follows;
The height of the cliff from which the rocket was launched = 200-ft.
The initial velocity of the rocket, u = 120 feet per second
The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200
a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;
h(1) = -16 × (1)² + 120 × (1) + 200 = 304
The height of the rocket after 1 second, h(1) = 304 feet
b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;
At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0
∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0
t = 120/32 = 3.75
At the maximum point, t = 3.75 seconds
The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;
At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75
At the vertex (the maximum point), t = 3.75
The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425
The height at the maximum point, h(3.75) = 425 feet
c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75
Therefore;
The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds
d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;
At the ground level, h(t) = 0 = -16·t² + 120·t + 200
Therefore, we get;
-16·t² + 120·t + 200 =
t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))
t ≈ 8.9 or t ≈ -1.4
Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.
Serena has 6 pieces of fabric. Each piece is 5/8 yard long. What is the total length of the fabric
Answer:
3 3/4 yards
Step-by-step explanation:
6*5/8=3 3/4
HELP ME PLEASE I'll give brainless.
Answer:
∠VUX +∠VUS = 180° (straight line)
So, ∠VUS = 137°
Pls help with c. and d. Plssss I will give bonus if you answer it correctly.
Answer:
Austing needs 160 boxes to complete the rack.
Step-by-step explanation:
Givens
12 cereral boxes occupies 60 centimeters of shelving.
The rack has 10 meters of shelving, equivalent to 1000 centimeters.
2 meters are already used.
There are 800 centimeters of shelving remaining.
To find the total number of cereal boxes needed to use the whole rack, we just need to use the rule of three: If 12 cereal boxes occupies 60 centimeters of shelving, 800 centimeters would require how many cereal boxes
Therefore, Austing needs 160 boxes to complete the rack.
Answer: C. Y=(1000-200)/5
D. 160 boxes of cereal
Step-by-step explanation: To create the equation I changed the measurements all to centimeters by scaling up the meters by 100 since there are 100 centimeters in a meter.
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
6
Answer:
53°
Step-by-step explanation:
Let m∠BCA = 'x'
Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.
Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.
90 - 37 = 53
Hence, the answer is 53°
PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.
Answer:
it isn't correct
[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]
Answer:
her solution isn't correct .
because she had done a slight mistake in her calculation.
i.e.
[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]
Step-by-step explanation:
solution given:
x²-6x-7=0
making it a perfect square
we must make it on the form of (a+b)²or(a-b)²
so
x²-2*3*x+3²-3²-7=0
(x-3)²-9-7=0
(x-3)²-16=0
adding 16 on both aide
(x-3)²=16
doing square root on both side
[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]
x-3=±4
taking positive
x-3=4
adding 3 on both side
x=7
and.
taking negative
x-3=-4
adding 3 on both side
x=-4+3
x=-1
x=-1 or 7