Find the solution to the system of equations.
You can use the interactive graph below to find the solution
(–2x+2y =–4
( 3x + 3y = -18
X =
y=
PLSSS HELP WLL GIVE BRAINLIEST!
Answer:
The order from top is
8 - 3
1 - 35
3 - 50
7 - 3/5
Step-by-step explanation:
The area of a garden is 30 square feet. The perimeter is 26 feet. What are the measurements of each side?
Please help this question is fustrating
Answer: 3 feet by 10 feet rectangle
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Explanation:
Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.
perimeter of rectangle = 2*(length+width)
P = 2*(L+W)
26 = 2(L+W) ... plug in given perimeter
26/2 = L+W .... divide both sides by 2
13 = L+W
13-W = L .... isolate L by subtracting W from both sides
L = 13-W
------
Area of rectangle = Length*Width
A = L*W
A = (13-W)W .... replace L with 13-W
A = W(13-W)
A = 13W - W^2 ..... distribution
30 = 13W - W^2 .... plug in given area A = 30
W^2 - 13W + 30 = 0 ... get everything to one side
(W - 10)(W - 3) = 0 ...... factor
W-10 = 0 or W-3 = 0 ...... zero product property
W = 10 or W = 3
----------
If the width is W = 10, then
L = 13-W
L = 13-10
L = 3 is the length
Or if the width is W = 3, then
L = 13-W
L = 13-3
L = 10 is the length
Either way, this is a 3 ft by 10 ft rectangle
--------
Check:
Area = length*width = 10*3 = 30 square feet
perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet
or you could say
perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet
we get the correct area and perimeter, so this confirms our answer.
Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3
Answer:
C) 104 units^3
Step-by-step explanation:
The formula for volume in a rectangular prism is V=lwh
There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.
smallest: V=(2)(2)(4) = 16
Medium: (2)(2)(6) = 24
Largest: (2)(2)(16) = 64
Add it together: 16+24+64= 104
Your answer is 104 units^3
:)
what is the answer of 12p + P
Answer:
13p
Step-by-step explanation:
because the P it have 1 hidden there
12p + 1p = 13p
y = 4sin 2x – 5cos 3x
Answer:
2π|b| 2 π | b
Step-by-step explanation:
A bag contains 27 red marbles, 6 white marbles, and 3 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 144 times. How many white or gray marbles do you expect to get?
If you randomly pick out a marble and replace it 144 times, you can expect white or gray marbles to be chosen.
Answer: 15 Gray or white Marbels!
Step-by-step explanation:
someone be a real one and finish this... plz
Answer:
y + 21 = - 4(x - 7)
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 ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)
m = [tex]\frac{23+21}{-4-7}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4
Using m = - 4 and (a, b) = (7, - 21), then
y - (- 21) = - 4(x - 7), that is
y + 21 = - 4(x - 7)
Colin, Sara and Gordon share some sweets in the ratio 5:2:1. Colin gets 36 more sweets than Gordon. How many sweets are there altogether?
c=36+g
c:g:s=5:2:1
The ratio gives us two equations so that's three equations in three unknowns. Actually we're after the total t; let's put that in to solve for directly.
c:g:s:t = 5 : 2 : 1 : 5+2+1
We turn the ratio to fraction equations. s has the one; let's write everything in terms of s.
c/s = 5/1, g/s = 2/1, t/s = 8/1
Clearing the fractions,
c = 5s, g = 2s, t = 8s
Our other equation is
c = 36 + g
Substituting in for c and g,
5s = 36 + 2s
Solving,
3s = 36
s = 12
That's right; let's just get the total t.
t = 8s = 72
Answer: 72
Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
B.
Asking 25 students how tall they are and recording their answers
C.
Rolling a single number cube until you get a 5
D.
Tossing a coin 50 times and recording the number of times it lands on heads
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .
A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.
B. Asking 25 students how tall they are and recording their answers
There are not two options
C. Rolling a single number cube until you get a 5
There are not two options
D. Tossing a coin 50 times and recording the number of times it lands on heads
Yes there are two options and they are events are independent of each other, therefore it is the correct answer.
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
A P 3 X
Explain the three steps when using distributive property to write an equivalent expression.
Answer:
Step-by-step explanation:First you apply the distributive property to create equivalent expressions, then you use algebra tiles to write equivalent expressions, and finally you verify that two different values of the variable yield the same value for each expressions, then the expressions are equivalent .
A boy walks 40m from a city X on a bearing of 040° to a city Y. She then walks 40m on a bearing of 140° to a city Z. Find the bearing of Z from city X.
a) 35°
b) 50°
c)90°
Answer: option C.
Step-by-step explanation:
If city X is in the point (0,0)
Now, we can use that a displacement of L in distance with an angle A, gives us that the components of the displacement are:
X = L*cos(A)
Y = L*sin(A)
So we know that the city Y is located in:
(40m*cos(40°), 40m*sin(40°))
Now, from this point he moves other 40m with an angle of 140°.
The new position is
(40m*cos(40°) + 40m*cos(140°), 40m*sin(40°) + 40m*sin(140°))
this is:
40m*(cos(40°) + cos(140°), sin(40°) + sin(140°)) = 40m*( 0, 1.28)
the new position is (0, 51.2m)
This means that for a new displacement L and angle A we have:
X = L*cos(A) = 0
Y = L*sin(A) = 51.2m
Cos(A) is only 0 when A = 90° or 270°,
and we know that sin(90°) = 1 and sin(270°) = -1
As we have a positive number in the Y equation, we can conclude that A must be 90°.
Then
Y = L*sin(90°) = L = 51.2m
Here we finded that the bearing of Z from city X is 90°
What does "a" "r" and "t" represent in the exponential growth/decay formula?
Answer:
a= initial amount
r= rate of growth/decay
t= time
Step-by-step explanation:
Drag each capacity to match it to an equivalent capacity.
8L
80 mL
0.08 L
800 mL
Capacity
Equivalent Capacity
0.08 L
8,000 mL
0.8 L
80 mL
whats x-3y=6 in slope intercept form ?
Answer:
y = 1/3X - 6
Step-by-step explanation:
Which of the following is the correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y=5x+44?
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations
Answer:
infinitely many solutions
Step-by-step explanation:
Reduce the second equation by dividing all three terms by 3: y + 1 = 2x. Then compare this result to the first equation 2x - y = 1. Noe that these two equations are identical. Thus, the two lines coincide. There are "infinitely many solutions."
In ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch.
We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.
We will use law of sines to solve for side r.
[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.
Let us find measure of angle S using angle sum property of triangles.
[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]
[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]
[tex]\angle R=29^{\circ}[/tex]
[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]
[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]
[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]
[tex]r=53.7604351[/tex]
Upon rounding to nearest tenth, we will get:
[tex]r\approx 53.8[/tex]
Therefore, the length of r is approximately 53.8 inches.
An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.
Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
Options:
1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same height 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.
Answer:
Option 1 - True
Option 2 - False
Option 3 - False
Option 4 - True
Option 5 - True
Step-by-step explanation:
Looking at the options,
-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.
- At t = 1 second;
h = 15 + 60(1) - 16(1)²
h = 15 + 60 - 16 = 59 ft
Also, at t = 2 seconds;
h = 15 + 60(2) - 16(2)²
h = 15 + 120 - 64 = 71 ft
So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.
- The orange will hit the ground when h(t) = 0.
However, at t = 3;
h(t) = 15 + 60(3) - 16(3)²
h(t) = 51 ft
h(t) is not equal to zero at t = 3, so option 3 is false
- when the orange is launched it is at time t = 0.
Thus,
h(0) = 15 + 60(0) - 16(0)²
h(0) = 15 ft
So option 4 is true.
- At t=10, h(t) = 15 + 60(10) - 16(10)²
h(10) = -985
This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.
Answer:
1 true 4 true and 5 true the rest are false
Step-by-step explanation:
Find the height of a right cylinder with surface area 240π ft2 and radius 5 ft.
The height of the right cylinder is __
ft.
Answer:
h ≈ 2.64ft
Step-by-step explanation:
A = 2πrh + 2πr2
h= A /2πr﹣r = 240 /2·π·5﹣5 ≈ 2.63944ft
Kono Dio Da!!
you do not know how confused i am with this question, please put a little explanation to explain how you did it.
Answer:
x=2
Step-by-step explanation:
2x = 4 and your multiplying 2 times x so x would have to be equal to 2 time blank which equals 4
Hope it helps!
Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there
Answer: There are 10 two points and 16 five points questions.
Step-by-step explanation:
This is the detailed question:
A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?
Let y = the number of 2 points questions
Let z = the number of 5 points questions
y + z = 26 ......... i
2y + 5z = 100 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2y + 2z = 52 ......... iii
2y + 5z = 100 ....... iv
Subtract iv from iii
-3z = -48
z = 48/3
z = 16
Since y + z = 26
y = 26 - 16
y = 10
y = 10 two points questions
z = 16 five points questions
There are 10 two points and 16 five points questions.
Find the area of the following trapezoid
The formula to calculate the area of a trapezoid is as follow:
4 * (8 + 16) * 1/2
Answer:
trapezoid area :(a+b)/2 ×h
(16+ 8)/2 ×4
=48
hello I don't know how to do this, can somebody explain me? Graph the linear function w(x)= 3/5x+2
Answer:
okay so u have a graph
u go to the center 0,0
u go up 2 places
then up 3 ove to the left 5
the repeat that step
u get it
Step-by-step explanation:
Can someone pls answer this if u do then I love u
Answer:I think it’s a
Step-by-step explanation:
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answer:
$5,368,709.12
Step-by-step explanation:
Kono Dio Da!!
Answer:
5368709.12
Step-by-step explanation:
i just did this earlier
Solve 3.4 [ 6 ( 4) +6^2]
Please show your work! <3
Answer:
204
Step-by-step explanation:
3.4[6(4)+6^2]=
3.4[24+36]=
3.4[60]=
204
Hope this helps!
A line includes the points (6,10) and (1,0) What is its equation in slope-intercept form?
Answer:
The slope-intercept is [tex]y = 2x -2[/tex] .
Step-by-step explanation:
-First, you need to find the slope by using the slope formula:
[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
-Second, use both points (6, 10) and (1, 0) for the formula:
[tex]m =\frac{0-10}{1-6}[/tex]
-Third, you solve:
[tex]m =\frac{0-10}{1-6}[/tex]
[tex]m = 2[/tex]
-Fourth, after you found the slope, you need to use the Point-slope form equation:
[tex]y - y_{1} = m (x -x_{1})[/tex] (where [tex]m[/tex] represents the slope, and [tex](x_{1},y_{1})[/tex] represents the first coordinate or the first point).
-Fifth, use the slope 2 and the first point (6, 10) for the Point-slope form equation:
[tex]y - 10= 2 (x -6)[/tex]
-Sixth, you solve the equation to get the slope-intercept form:
[tex]y - 10= 2 (x -6)[/tex]
[tex]y -10 = 2x -12[/tex]
[tex]y -10 +10 = 2x -12 +10[/tex]
[tex]y = 2x -2[/tex]
So, therefore, the slope-intercept is [tex]y = 2x -2[/tex] .
Find the surface area.
Any help will be appreciated thank you!
Answer:
580 cm^2
Step-by-step explanation:
H = Height
L = length
W = width
2(HL)+2(WH)+2(WL)
= 2(20*10)+2(3*20)+2(3*10)
= 2(200)+2(60)+2(30)
= 400+120+60
= 580
find angle C! please and thankyou
Answer: it's around 40
Step-by-step explanation:
