Answer:
Equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1 , y=3 and y=x+5
Step-by-step explanation:
General equation of slope intercept form : [tex]y-y_1=m(x-x_1)[/tex]
We are supposed to find equations in slope-intercept form for three different lines that intersect at (–2, 3).
[tex](x_1,y_1)=(-2,3)[/tex]
Substitute the value in the general equation
y-3=m(x+2)
Now substitute any 3 values of m
At m = -1
[tex]\Rightarrow y-3=-x-2 \\\Rightarrow y=-x+1[/tex]
At m =0
[tex]\Rightarrow y-3=0 \\\Rightarrow y=3[/tex]
At m =1
[tex]\Rightarrow y-3=x+2 \\\Rightarrow y=x+5[/tex]
They all intersect at the given point.
So, equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1 , y=3 and y=x+5
Answer:
y-3=-x-2
y=-x+1
y-3=0
y=3
y-3=x+2
y=x+5
Step-by-step explanation
<3
How many solutions does 6 - 3x = 4 - x - 3 - 2x have?
Answer:
No Solution
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x (Given)
6 - 3x = -1 -3x (combine like terms)
7 (addition)
The x cancels each other out so no solution.
Nick has a $45 Starbucks gift card. He purchased the same latte six times and has $18 left on the card. What was the price of each latte? What does the variable represent in this problem?
Answer:
The price of each latte was $4.5.
Step-by-step explanation:
6x + 18 = 45
6x = 45 - 18
6x = 27
x = 27/6
x = 4.5
The variable represents the cost of each latte.
Need answer ASAP!!!!
Answer:
4
Step-by-step explanation:
The first triangle has the ratios 10:6:8. The next one has the ratios 5:3:x. If you have paid close attention, you can divide the first one by 2 to get the second one. 8/2 is 4 so the correct answer is 4.
Hope this helps plz mark brainliest if correct :D
What is the slope no games please i will report!
Complete the statements based on the graph of the function f(x) = 1/2 √x.
The square root function is ___ by a factor of ___
The domain of f(x) is ___
The range of f(x) is ___
Answer:
1. shrunk
2. 1/2
3. all real numbers greater than or equal to 0
4. all real numbers greater than or equal to 0
Step-by-step explanation:
just got it right on edg
Can someone help with both of these please asap
Someone help me ASAP PLEASE
Answer: I cant see it
Step-by-step explanation:
What is the domain of the square root function graphed below?
Answer:
Option (4)
Step-by-step explanation:
Domain of a function is a set of x-values (Input values) of the function.
For the given graph of square root function,
x - values starts from x = 0 and tends to x = ∞
Therefore, domain of the function will be,
x ≥ 0
Option (4) will be the correct option.
Can someone help a fellow out :( ?
First to answer
Answer:
16/24
of the chocolate cake was eaten
13/16
of the red velvet cake was eaten
and
5/12
of the white cake was eaten.
Step by step explanation:
I subtracted the whole amount of cake by what was left.
I'm on my sisters account and I'm in 4th grade please help me
Answer:
2.5
Step-by-step explanation:
Its too simple to explain soz
Answer:
2.5 :)
Step-by-step explanation:
easy 25 points answer soon please
Answer:
10
Step-by-step explanation:
which equation is correctly rewriitten to solve for x
x/r - s = t
x/r - s = t
Add s to both sides.
x/r - s + s = s + t
x/r + 0 = s + t
x/r = s + t
Multiply both sides by r.
r(x/r) = r(s + t)
x = r(s + t)
Understand?
Answer:
x=tr/s
Step-by-step explanation:
x/r-s=t
x-s=t×r
x-s/s=tr/s
x=tr/s
PLZZ HELP! I will mark brainliest
What percentage is represented by the shaded area?
Answer:
52%
Step-by-step explanation:
The entire shape if 25 squares, the shaded area if 13 squares. Set it up as 13/25 to get a decimal, 0.52. Move the decimal place two over to convert to a percentage, 52%
Find the approximate side length of a square game board with an area of 159 in.
(Round to the nearest inch as needed.)
Answer:
hope this helps, happy learning!!!
what does this equal?
9+10=
Answer:
19?
Step-by-step explanation:
Hope this helps
Answer:
9 + 10 = 19
Step-by-step explanation:
Hope this helps, take care, stay safe, keep smiling, and always be happy!! And remember I believe in you my friend!!
for me ots allmost 11 at night please help
Answer:
slope(m)= (9/4) and y intercept =5
Step-by-step explanation:
An arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students?
Answer:
15students per 1 teacher
9 student per 1 tutor.
8 tutors for 72 students
Step-by-step explanation:
From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students
✓ 4 teachers for every 60 students
4teacher =60students
Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.
✓3 tutors for every 27 students,
3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.
How many students does the academy have
per teacher?
15students per 1 teacher
Per tutor?
9 student per 1 tutor.
How many tutors does the academy need if it has 72 students?
Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,
9 student = 1 tutor.
72 students= X tutor
If we cross multiply we have
72=9X
X=8 tutors
Therefore, we need 8 tutors for 72 students
please geniuses answer this!!!
Find the LCM and HCF of 110 and 220 by prime factorization what do you observe
Answer: Prime factors of 110 are 2, 5, 11. Prime factorization of 110 in exponential form is:
110 = 21 × 51 × 111
Prime factors of 220 are 2, 5. Prime factorization of 220 in exponential form is:
220 / 20 gives you 11
Sara made a scale model of the Eiffel Tower in France. The actual height of the tower is 1063 feet. Sara's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Sara's model?
Answer:
Look for the bolded words ;'D
Step-by-step explanation:
The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...
....lol sorry for taking so long, but have a good day! :'D
Jane is comparing prices of f bottled drinks. She finds one bottle of water that cost $1.92 and contains 12 ounces. She then finds one of the bottle of the soda that costs 2.40 and contains 16 ounces. Whic cost less per ounce
Answer:
the soda is less
Step-by-step explanation:
if you divide both the soda and the waters ounces by their price than you will get 0.15 for the soda and 0.16 for the water showing that its 1 cent more expensive than the soda
Use a two-column proof to prove the Triangle Proportionality Theorem:
Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). [tex]\frac{AD}{AB}=\frac{AE}{AC}[/tex] 6). Definition of two similar triangles
Hence proved.
Tickets to a concert cost $50 for each orchestra seat and $40 for each
balcony seat. If 1,500 tickets were sold to earn $69,000, how many
orchestra-seat tickets were sold?
A
600
B 750
h
900
1,380
Answer:
H. the number of orchestra seat is 900
Step-by-step explanation:
Step one:
let the number of orchestra seat be x
and balcony seat be y
cost of orchestra= $50 each
cost of balcony =$40 each
total tickets= 1500
x+y= 1500----------1
amount earned= $69000
50x+40y=69000--------2
The system of equation for the situation is
x+y= 1500----------1
50x+40y=69000--------2
from 1, x=1500-y
put this in equation 2
50(1500-y)+40y=69000
75000-50y+40y=69000
-10y=69000-75000
-10y=-6000
divide both sides by -10
y=-6000/-10
y=600
put y= 600 in equation 1
x+600= 1500
x=1500-600
x=900
Fred needs to rent an office building. He needs 10,000 square feet of space. If Tammy found a building to rent that is 81 feet by 102 feet, is this building large enough to meet Fred’s building needs? Explain your answer.
multiply (x+3)(x-4)
what is the middle term in the simplified product?
x
-x
3x
-4x
Answer:
The answer is -x
Step-by-step explanation:
(x+3)(x-4)
x²-4x+3x-12
x²-x-12
Answer:
-x
Step-by-step explanation:
(1) In the State of Michigan there is a 6% sales tax, so if you purchase a
new pair of shoes for $75 how would you set up the ratio to calculate your
tax? *
Answer:
1:0.06
Step-by-step explanation:
since there is a 6% sales tax, which is the same as 0.06. to calculate your tax, you would multiply both of the sides of the ratio by 75, and the left side will show you subtotal of what you are buying, the right will show tax.
PLEASE HELP!! I"LL MARK YOU AS A BRAINLEIST
Answer:
B
Step-by-step explanation:
Which expression is a Product?
A) 8(6 + 3)
8
B) _
(6 +3)
C) 5 (2) + 2(6 x 3)
D) 5(2 + 3) - 4 (8 +1)
Answer:
thats what i got
Step-by-step explanation:
Find the slope of the line passing through the points (5, 4) and (5, -5)
Answer:
NO Slope
Step-by-step explanation:
slope of the line passing through the points (5, 4) and (5, -5)
slope = y2 - y1 = -5 - 4 = -9
x2 - x1 5 - 5 0
see attached.
in this graph of a line x = 5, no matter what the value of y is.
the horizontal change is 0 and the vertical change is any y value
therefore, there is NO Slope
multiply
( 4x + 6y ) to the power of two 2
what is the answer?
Answer:
2
Step-by-step explanation:
