The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.
They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.
So they should have this new equivalent system
[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]
Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4
Use that x value to solve for y. You should get y = -2/5 = -0.4
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
How many different pairs of 2-digit numbers multiply to give a 3-digit number with all digits the same? (A) 5 (B) 6 (C) 7 (D) 8 (E)S
Answer:
a
Step-by-step explanation:
po ang tamang sagon po
Sally collected 30.4 pounds of cans to recycle and plans to collect 2.1 more pounds each week. In this situation, what is the value of the y-intercept?
The y-intercept is the intital value where the equation begins.
Because Sally initially started at 30.4 pounds, the y-intercept is 30.4.
solve pls brainliest
Answer:
1)YES:This is a decimal neither terminates nor repeats
2)YES:Repeating decimal
3)NO: Terminating decimal
4)YES: this is a decimal neither terminates nor repeats.
Step-by-step explanation:
Hope it can help you lovelots
Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =
When x = -1, the value of y is
When x = 0, the value of y is
When x = 1, the value of y is
plzzz help?????????????????????
Answer:
Step-by-step explanation:
Pythagorean theorem: base ² +altitude² = hypotenuse²
1) hypotenuse² = base² + altitude²
x² = 6² + 3²
= 36 + 9
= 45
x = √45
x = 6.7 cm
4) base ² +altitude² = hypotenuse²
x ² + 3.7 ² = 4.2 ²
x ² + 13.69 = 17.64
x ² = 17.64 - 13.69 = 3.95
x = √3.95
x = 1.99 cm
10)c ² = a ² + b ²
= 3 ² +4 ²
= 9 + 16
c ² = 25
c = √25 = 5
11) a ² + b ² = c ²
9 ² +b² = 13 ²
81 + b² = 169
b² = 169 - 81 = 88
b = 9.38
12) a² + b² = c²
12² + b² = 22²
144 + b² = 484
b² = 484 - 144 = 340
b =√340 = 18.44
what is the distance between 24 ft and 10 ft
Answer:
the distance is 14 feet. hope this helps
you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse
Answer:
It is 0.6 miles
Step-by-step explanation:
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. In which attempts did he improve by more than 8
seconds from the previous attempt? Check all that apply.
120
124
110
100
90
Seconds
80
70
69
60
50
55
40
49
•40
2
4
5
6
Attempts
O A. Attempt 2
R
Attemnt 5
Answer:
Attempt 4, Attempt 6, Attempt 7
the percentages of people at different ages in the life span are more similar, creating what is called the
Answer:
it is called rectangularization
Step-by-step explanation:
The perimeter of an equilateral triangle is 24 cm. Find the length of each sides
Answer:
8cm
Step-by-step explanation:
An equilateral triangle means that all the sides are equal (the same length). A triangle has 3 sides so all we have to do is:
24/3 = 8
Each side is 8cm long
Answer:
Length of each sides = 8 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 24 cm:
Equilateral triangles have three congruent sides.
Hence, to find the length of an equilateral triangle, simply divide the perimeter by 3 (since an equilateral triangle has three equal sides).
Perimeter of an equilateral triangle = 24 cm
Side = 24 cm ÷ 3 = 8 cm
Therefore, the length of each side is 8 cm.
A(-5‚-8) B(2‚-3) And C(-2‚9) are the vertices of ∆ABC. find the coordinates of its image under the rotation through 180°
in anti-clock wise direction about origin? HELP Meeeee
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
A (- 5, - 8 ) → A' (5, 8 )
B (2, - 3 ) → B' (- 2, 3 )
C (- 2, 9 ) → C' (2, - 9 )
a box of 15 cookies cost 9 dollars, how much will one cookie cost? khan academy
Answer:
135. You multiply to get your answer.
A cyclist travels at an average speed of 11 mph for 3 hours. How far did she travel in miles?
Answer:
33 miles
Step-by-step explanation:
The cyclist traveled for 3 hours ar 11 miles per house to find how many miles she traveled simply multiply the speed times the amount of time traveled 11 times 3 is 33
1 hour = 11 miles
3 hours = 11 x 3 miles
= 33 miles.
Ans: 33 miles
I know this is already answered but I was bored lol.
(1 point) Water is leaking out of an inverted conical tank at a rate of 8500.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 7.0 m. If the water level is rising at a rate of 29.0 cm/min when the height of the water is 1.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Answer:
2030.4
Step-by-step explanation:
divided 85 and 7.0
Part A
Fill in the blank question.
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
Complete each statement.
There are actually __________counties.
The amount of error in Pedro's estimate is____________.
Listen to the complete question
Part B
Fill in the blank question.
What is the percent error in Pedro's estimate? Round to the nearest tenth percent.
percent error: ___________%
Answer:
254 in the first blank
Step-by-step explanation:
There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Given that
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
There are actually 254 counties.
The amount of error in Pedro's estimate is 4.
Now we need to find percent error in Pedro's estimate.
4/254×100
=0.0157×100
=1.574%
Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
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A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?
A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750
Answer:
C) Rs. 9000, Rs. 9750Step-by-step explanation:
Let the sum allotted is x and 18750 - x.
Interest rate is 5%.
The interest amount is:
(18 - 12)*5% = 30% and(18 - 14)*5% = 20%We have equation below to compare final amounts:
x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000Correct choice is C
Guys I need help can you make like 5 roasts about a girl named Emma Blakey and Sebastian. Let’s see if you could do that..
Emma your face is always so blank, Like Give us an expression! And your nose so flat Like you've been hit with a pan Just like your chest. Sebastion Must be blind if he has a thing for You, I mean look at your flat lookin self you he must be built reta.rded. Maybe that's why his Mama Left him.
what is the slope of the line
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.56th Grade End-of-Module Review Part-xwhole Name Adam Robertson Date 1/12/21 1. Jazzlyn is applying for a job online. She has completed 12 questions. Throughout the application, a bar shows up to represent what percentage of questions she's completed. The progress bar currently shows 25%How many questions are there for the job application? Use a table, diagram, or equation to justify your answer.
Answer:
48 questions.
Step-by-step explanation:
x is for the unknown variable, the number you are trying to figure out.
12= 25%x
if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.
to figure this out you can also ask, 12 is 25% of what number?
I WILL GIVE BRAINLIEST!! PLS HELP
refer to attachments for the question
Step-by-step explanation:
We have:
PQ ≅ MN GivenQR ≅ RN GivenPR ≅ RM Definition of midpointAs per above three sides of one triangle are congruent to three sides of another triangle.
ΔPQR ≅ ΔMNR SSS (Side - side - side) congruenceIn ∆PQR and ∆MNR
PQ=MN
QR=RN
<Q=<M=90°
Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Proved
complete the pattern 1,2,4,8___and __and __
Answer:
16, 32, and 64
Step-by-step explanation:
The number is being doubled every time.
PLSSSSSSSSS I WILI WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:
Answer:
3/8 or 0.375
Step-by-step explanation:
............
Answer:
5/4
Step-by-step explanation:
Area of a rectangle = length * width
A = 3/4, W = 3/5, L = ?
3/4 = L * 3/5
[tex]\frac{3}{4}= L\frac{3}{5}[/tex]
L * 3 * 4 = 3 * 5
12L = 15
L = 15/12 = 5/4
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
It's the 2nd graph
Step-by-step explanation:
Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
1. Two students are asked to find the angle measures of AEFG, given that the triangle is isosceles. AEFG has an exterior angle at which has a measure of 110%. Their work is shown below.
Which answer is correct? Explain below.
Serin's Answer: The measure of Angle G is 70 degrees. Since the base angles are congruent, the measure of Angel F is also 70degrees.This leaves 40 degrees for Angle E.
Lam's Answer: The measure of angle G is 70degrees. Since an isosceles triangle has two congruent angles, the measure of Angle E and Angle F must be 55degrees
O Both are correct.
ONeither is correct.
Answer:
∆EFG has an exterior angle at G which has a measure of 110°. Which answer is incorrect ... Since external angle is 110 degrees, the internal is 70 degrees
Step-by-step explanation:
no problem we all get stuck
The angles can be ∠ G = 70°, ∠ F = 70° and ∠E = 40° or ∠ G = 70°, ∠ F = ∠ E = 55° hence both are correct so, option C is correct.
What is triangle?
Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle is isosceles, and AEFG has an exterior angle at which has a measure of 110°,
Calculate the interior angles of the triangle as shown below,
∠ G = 180 - 110 (exterior angle)
∠ G = 70°
Since the remaining angles can be ∠ F = 70° and ∠E = 180 - 70 + 70 = 40°
or ∠ F = ∠ E = 55°
To know more about Triangles:
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Can i please have help with qquestion brainliest for correct and best explained answer
Answer:
Y-intercept is at 1 and slope of the graph is 2
Step-by-step explanation:
When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.
To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern
How do you do 10 th grade math
Help!! (Question in picture)
Answer:
A. =5 cm; B. =13 cm.
Step-by-step explanation:
What is the vertex for:
y=−7(x−2)2
Question 7 options:
(-7,-2)
(2,0)
(-2,0)
(-7, 2)
Answer:
you factories the equation