[tex]\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}[/tex]
one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.
since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.
based on the experimental probability about how many times will yosef draw a green marble if he draws a total of 75 marbles
What is the difference of the solutions to (y-3)(y+3/2)=0?
I got stuck on the last part. Can someone answer this step by step please? And what is 3-3/2?
Answer:
(y-3)(y + 3/2) = 0
y = 3 or y = -3/2
the diff
3 - ( - 3/2 )
3 + 3/2
6/2 + 3/2
9/2 or 4.5
Which figure is the image of Q?
Robert had 9 golf balls. He gave Tim 4. How many did he have left?
No encuentro la respuesta
Answer: 5.
Step-by-step explanation: Originally, Robert had 9 golf balls. Then, he gave 4 to Tim, so that gives us an immediate clue that this is subtraction. We can solve this problem by the following:
9 - 4 = ?
9 minus 4 equals 5, so we can fill in the question mark with our answer:
9 - 4 = 5.
Therefore, your answer is 5.
Have a great day! :)
5
Step-by-step explanation:
It is subtraction problem 9 take away 4 and you are left with 5
forgot can you explain the answer
Answer:
18 is 30% of 60
Step-by-step explanation:
Try to line up percents % and the actual numbers they represent.
number : precent
60 is 100%
18 is x %
cross multiply
x·60 = 100·18
divide both sides by 60 to isolate x
x = ((100·18)/60
x = 30
Two groups of volunteers are cleaning up the football stadium after the Homecoming game. Volunteers from the Band Booster Club have already cleaned 2 rows of bleachers and will continue to clean at a rate of 7 rows per minute. The leadership class has completed 11 rows and will continue working at 4 rows per minute. Once the two groups get to the point where they have cleaned the same number of rows, they will take a break and decide how to split up the remaining work. How long will that take? How many minutes will each group have cleaned by then?
PLS HELP
Answer:
each group would have cleaned for 3mins
it's would take 3mins before they both take a break
Step-by-step explanation:
band booster club
2 already done
7rows/min
leadership class
11 rows already done
4rows/min
11-2
=9
at 0min leadership class is ahead by 9
min=x
2+7x=11+4x
7x-4x=11-2
3x=9
x=3
after 3mins the leadership class and the club will have both done 23 rows
brailiest please
Giovanni drops a rock from the Leaning Tower of Pisa in Italy. The height in feet (h) of the falling rock above the ground is
given by the following equation, where t represents the time, in seconds.
h = -16t2 + 186
Approximately how long will it take the rock to reach the ground?
It would take about 3.4 seconds for the rocks to reach the ground.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the rock above the ground after t seconds. Given the equation:
h = -16t² + 186
The rock would reach the ground at h = 0, hence:
0 = -16t² + 186
16t² = 186
t = 3.4 seconds
It would take about 3.4 seconds for the rocks to reach the ground.
Find out more on equation at: https://brainly.com/question/2972832
A math class consists of 10 girls and 8 boys. The teacher wants to choose 2 girls and 2 boys to go on a trip. How many different groups could the teacher choose?
A. 5040
B. 3060
C. 1260
D. 73
Answer:1260
Step-by-step explanation: photo of the graded question attached
A math class consists of 10 girls and 8 boys. The teacher wants to choose 2 girls and 2 boys to go on a trip. How many different groups could the teacher
choose?
x3060
073
5040
1260
help please this assignment is do in a few minutes
Answer:
The answer is C because the ratio 2:5 is equal to 40:100
Use the diagram to complete the statement
Answer:
cos(52)
Step-by-step explanation:
Both sin(38) and cos(52) are equal to KJ/KL.
Please help me with this
Answer:
should be 42
Step-by-step explanation:
What is the area of this figure?
Use 3.14 for TT.
Please help
Answer:
406.08
Step-by-step explanation:
First FInd the area of the rectangle : which is short side * long side
-> 15*12=180m
Then find the area of the half circle, the formula of the area of a circle is [tex]\pi r^2[/tex]
here it's half a circle so it's [tex]\frac{\pi r^2}{2}[/tex] where r is 12
-> [tex]3.14\cdot \frac{\left(12\right)^2}{2}=226.08 m[/tex]
Finally just add the area of the rectangle with the area of the half circle
-> [tex]180+226.08=406.08 m[/tex]
help me!!!!Determine the value of each car after 5 years.
Line segment AB has endpoints A(−1,6) and B(5,−6).
What are the coordinates of the point that partitions AB according to the part-to-part ratio 1:5?
(0,4)
(−4,4)
(4,0)
(4,−4)
Answer:
(0,4)
it was correct
A. 197 cm
B. 158 cm
C. 155 cm
D. 55 cm
Answer:
158
Step-by-step explanation:
The Formula for Area is: A = L * W
First lets start with the rechtangle:
A = L * W
A = 17 * 7 = 119
the area of the rechtangle is 119
Now the triangle the formula is a little diffrent but it is the same concept
A=hbb (Picture below, it wont let me write it out right)
2=6·13
2=39
The area of the triangle is 39
Now add the both areas
119 + 39 =
158
Katie practiced her flute for 45 mins Then she ate a snack for 15 mins Next She watched televosion for 30 mins until 6:00 p.m at what time did Katie start practicing the flute
Find the range of:
8, 14, 6, 12, 11,9
What is the area of the following figure?
Answer:
A=31.5cm squared
Step-by-step explanation:
A=lw
A=(9)(3.5)
A=31.5
therefore A=31.5cm squared
Answer:
31.5 cm
Step-by-step explanation:
Just multiply the length and width
Mr Shreshta borrowed rupees 2,000 from a bank at the rate of 4 % per year
i need answer
step by step
process by process
Answer:
Rs. 480
Step-by-step explanation:
Per month interest amount = 2000 x 0.02 = Rs.40
One total interest cost =Rs. 40 x 12 ( 12months i. e. 1 year)
= Rs. 480
A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
Using the Pythagorean Theorem, considering that the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side, the triangle is a right triangle.
Pythagorean Theorem:
The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side.
so it is a right triangle.
Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 30 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
Answer:
10 miles
Step-by-step explanation:
Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach? Every hour, Nil gets ahead of Ethan 30 - 20 = 10 miles.
please explain how you got the answer please i need to see how you got that answer!! umm please someone give me it quick
Answer:
y>-2
Step-by-step explanation:
her mistake was she did -22-6= -28 but the correct solution is -22+6= -16
i dont know what to say anymore just help
How many flowers spaced in every 6in., are needed to surround a circular garden with a 175-ft radius? Use 3.14 for (pie symbol)
Answer
2199
Step-by-step explanation:
the perimeter of the circle:
3.14 x 175 x 2= 1099
there are 2 inches in one foot
1099x12 = 13188
13188/6 inches = 2198
2198+1=2199 flowers
For each equation how many solutions why?
Question e
Answer:
one real solution
Step-by-step explanation:
it has only one solution since it is a linear graph and only intercepts the x axis once
Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.
Answer:
22.50
Step-by-step explanation:
Given:
Selling everything in his store for 5/8 of the marked price.
find a t-shirt that is marked at $36
Solve:
36 * 5/8
[tex]\frac{36}{1}\cdot \frac{5}{8}[/tex]
[tex]\frac{9\cdot \:5}{2}[/tex]
[tex]\frac{45}{2}[/tex]
22.50
~lenvy~
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on a number line
Answer:
I think your adopted and nobody loves you
Step-by-step explanation:
geomerty!!! HELP PLEASE
Answer:
The Scale Factor is 5.3
Step-by-step explanation:
Here's the reason why:
You are trying to make the rectangle much larger.
The 14yd by 6yd is trying to get to the 74.2yd by 31.8yd.
We need to remember the importance of length and width.
If 14 yards is our length then 74.2 yards is our length on the enlarged rectangle.
You must do 74.2/14 because we need to work backwords.
**You can't find something to multiply 14 by to get to 74.2 unless you do division.**
74.2/14 is 5.3
Now do the same with the width.
31.8/6
That is 5.3 as well.
Therefore the scale factor is 5.3
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
In the equation n+5 - n- 10 = 1the value of n is
Answer:
No Solution
Step-by-step explanation:
If you grouped like terms, you would get [tex]n+(-n)+5-10=1[/tex]
Both n's would cancel each other out.
I hope this helps! (If it's wrong, then tell me, I'll try to find the correct answer...)
Convert the equation to standard form:
f(x) = 2(x - 1)(x + 4)
Answer:
2x^2 - 10x - 8.
Step-by-step explanation:
f(x) = 2(x - 1)(x + 4)
= 2(x^2 - x - 4x - 4)
= 2(x^2 - 5x - 4)
= 2x^2 - 10x - 8.