Answer:
✔ y = –4x + 5
✔ y = –2x + 3
Step-by-step explanation:
We can write -
The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.What is the general equation of a Straight line?
The general equation of a straight line in slope intercept form -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the given system of equations as -
y - 5 = - 4x
3y - 9 = - 6x
The given system of equations is -
y - 5 = - 4x
3y - 9 = - 6x
Now -
y - 5 = - 4x
y = - 4x + 5
and
3y - 9 = - 6x
3y = - 6x + 9
y = (-6/3)x + (9/3)
y = - 2x + 3
So, we can write -
The slope-intercept form of the first equation is y = - 4x + 5.
The slope intercept form of the second equation is y = - 2x + 3.
Therefore, we can write -
The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
Solve for m∠.? Please Help!
Answer:
70
Step-by-step explanation:
Answer:
[tex] \purple {\bold {m\angle A =70\degree}} [/tex]
Step-by-step explanation:
ABCD is a trapezoid. AB || DC and AD is transversal...(given)
[tex] AD \cong BC.. (given) [/tex]
Therefore, ABCD is an isosceles trapezoid.
Measures of base angles of isosceles trapezoid are equal.
[tex] \therefore m\angle D =m\angle C[/tex]
[tex] \because m\angle C =110\degree... (given) [/tex]
[tex] \therefore m\angle D =110\degree [/tex]
[tex] m\angle A+ m\angle D =180\degree [/tex]
(interior angles on the same side of transversal)
[tex] m\angle A+ 110\degree =180\degree [/tex]
[tex] m\angle A =180\degree -110\degree [/tex]
[tex] \purple {\bold {m\angle A =70\degree}} [/tex]
Mila spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -1.6°F. Between 9am and noon, the temperature rose 6.6°F. Between noon and 3pm, the temperature increased by 2.8°F. Between 3pm and 6pm, the temperature went down 10.5°F. What was the temperature at 6pm?
The Black Valley in Kerry, which only saw the arrival of electricity in the 1970s, is to get high-speed satellite-delivered internet this year in a pilot project funded by technology billionaire Elon Musk.Musk, founder of SpaceX and electric carmaker Tesla
Can someone help me please
Answer:
[tex] \sqrt{} \frac{1}{49} = \frac{1}{7} [/tex]
Find the area of this composite figure.
Answer:
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
Area of a rectangle: Area = Length x Width
Have to look at it in two different rectangles and add up the areas.
• 8 x 4 = 32
• 2 x 4 = 8
• 32 + 8 = 40
• Area of the figure is 40!
Please answer!
Find the lengths of the segments with variable expressions.
Answer:
EF = 8
Step-by-step explanation:
The midsegment EF is half the sum of the parallel bases , that is
x = [tex]\frac{x-5+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2x = 3x - 8 ( subtract 2x from both sides )
0 = x - 8 ( add 8 to both sides )
8 = x
Thus
EF = x = 8
AD = x - 5 = 8 - 5 = 3
BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13
look at pic below please and figure out inverse tables
Answer:
a -1
b 1
c 3
d 2
no
Step-by-step explanation:
What is the least common denominator of the equation 7(x-3)- 2 = ģ?
3
2
9
12
36
Answer:
LCD = 24
Equivalent Fractions with the LCD
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
Solution:
Rewriting input as fractions if necessary:
3/2, 3/8, 5/6, 3/1
For the denominators (2, 8, 6, 1) the least common multiple (LCM) is 24.
LCM(2, 8, 6, 1)
Therefore, the least common denominator (LCD) is 24.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1 1/2 = 3/2 × 12/12 = 36/24
3/8 = 3/8 × 3/3 = 9/24
5/6 = 5/6 × 4/4 = 20/24
3 = 3/1 × 24/24 = 72/24
all you need is in the photo please
Answer:
i don't know how to answer
Step-by-step explanation:
calculate the mean
20,15,19,16,10
Answer:
16
Step-by-step explanation:
add all the numbers together and divide by amount of present numbers
Answer:
16
Step-by-step explanation:
20+15+19+16+10= 80
80 divided by 5 is 16
to find the mean you add all of the numbers up and then divide the sum by the number of numbers there are hope this helps have a good rest of your night :) ❤
Add f(x) = 4x-5 and g(x) = 2x
(f + g)(x)
Step-by-step explanation:
f(x) = 4x-5
g(x) = 2x
(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5
Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10
Help this is due today and I don’t know how to do it you please show me the steps:)
Answer:
628 inches²
Step-by-step explanation:
the equation for surface area is SA=2(lw+lh+hw) so..
1. 2×(16×14 + 16×3 + 3×14)
2. 2×(224+48+42)
3. 2×314
4. 628
Hope this helps! :)
What is 46.875 the nearest dollar
Answer:
$47
Step-by-step explanation:
46.875 rounded would be 47.
Find the area of ΔLKJ
9514 1404 393
Answer:
D. 37.5 square units
Step-by-step explanation:
There are a couple of ways to figure this.
1. The altitude KM is the geometric mean of the segment lengths ML and MJ
KM = √(ML·MJ)
ML = KM²/MJ = 36/8 = 4.5
Then LJ = 4.5 +8 = 12.5, and the area of the triangle is ...
A = (1/2)bh
A = (1/2)(12.5)(6) = 37.5 . . . square units
__
2. Triangle LKM is similar to triangle KJM. The scale factor is ...
KM/JM = 6/8 = 3/4
Then the area of triangle LKM is (3/4)² = 9/16 of the area of triangle KJM.
The total area is ...
Area of LJK = (area of KJM)×(1 + 9/16)
= (1/2)(8)(6)(25/16) = 75/2 = 37.5 . . . square units
Find the value of x : x/15 = 8/20
Answer:
x=6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
x/15=8/20
Multiply both sides by 10:
x/15*10=8/20*10
Simplify:8/20*10
2x/3=4
Multiply both sides by 3:
3*2x/3=4*3
simplify:
2x=12
Divide both sides by 2:
2x/2=12/2
Simplify:
x=6
:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?
Answer:
I think 10
Step-by-step explanation:
you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.
What is the area.
please do not answer as a joke
Answer:
254.34 inches²
Step-by-step explanation:
The formula for area of a circle is: pi x r². The radius is half of the diameter (18) which in this case would be 9. Square it to get: 81. Multiply by pi: 81 x 3.14 = 254.34.
Hope it helps!
Answer:
I believe it is around 56.52
Step-by-step explanation:
3.14
x
18
--------
56.52
Ricardo wants to install a dog run in his backyard. If he wants it to be 15 feet wide by 18 feet long, how much fencing will he need to install? Use the formula P= 2L + 2W to solve. PLEASEEE HELPPP
Answer:
56 feets
Step-by-step explanation:
Length, L = 15
Width, W = 18
Using the relation ; Perimeter, P :
P= 2L + 2W
P = 2(15) + 2(18)
P = 20 + 36
P = 56 feets
what is 0.5^2+(3/5)
please enter your answer below
Answer:
.85 or 17/20
Step-by-step explanation:
just use a calculator to solve
Do you agree with the rules of the council on tall buildings and urban habitat regarding spires and antennae? Are the Petronas towers really taller than the Sears tower?
Answer:
Yes, I agree
The Petronas Towers are taller than the Sears tower
Step-by-step explanation:
The rule regarding spires and antenna of the Council on tall buildings and Urban Habitat states that "an antenna is just functional - something with a technical purpose stuck on the top of a building after it is finished while spires are considered a continuation of the form of the building.
According to the Council, the Petronas Towers are taller than the Sears Tower because spires are included in a building's architecture while antennae are not.
The architectural height of the Petronas towers is 1,483ft
The architectural height of the Sears (now Willis) tower is 1,450ft
Can i get some help with this question please
Write the following whole number as it’s English word equivalent
Answer:
eight hundred seventy five thousand five hundred eighty four
Step-by-step explanation:
please help me ASAP explain for brainlist.
Answer:
assuming that there are an equal number of colored marbles in the bag and their total is 20 marbles in the bag:
C) 17/20
Step-by-step explanation:
The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.
Answer:
2.25
Step-by-step explanation:
Given the cost model:
C(l) = l3 – l2 + l + 2.5
l = Length fo package
The length of a package that cost $11.00
11 = l³ - l² + l + 2.5
From the table given :
Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50
Taking l as 2.20
2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508
Taking a slightly higher value :
Put l = 2.25
2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078
Ww can conclude that the length of mail would be 2.25
Answer:
2.75
Step-by-step explanation:
plz help plz I am already failing I dont want to fail more
Answer:
B is the closet to pi hsiebfjwjgsbe9fbe
Rich bought 5 cupcakes and one pie. He knows his total bill is $13.14 and knows the pie was
$6.89. How much is the cost of one cupcake?
$6.25
Take the total and subtract the amount of money from the pies to get the amount for cupcakes
sally is planning a trip for 225 students
Answer:
yes i understand, but whats next? sorry but i cannot answer it
Step-by-step explanation:
A salesperson will earn a commission equal to 1/32 of the total sales. what is the commissions earned on the sales totaling 24000
Answer:
Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.
the total sales") means to multiply.
So we can write an equation as:
c
=
r
⋅
s
Where:
c is the commission earned, what we are solving for in this problem.
r is the commission rate - 1/
32 in this problem
s is the total sales - $24,000 in this problem.
Substituting and calculating c gives:
c
=1/32 x $24,000
c=$24,000/
32
c
=
$
750
A population of 140,000 grows 3% per year for 16 years .
How much will the population be after 16 years?
Answer:
262,000
Step-by-step explanation:
James is buying a chair that regularly costs $435. Today the chair is on sale for 47% off. If the tax rate is 8.5% , what is the sale price of the chair including tax
Answer: The sale price of the chair including tax = $221.83
Step-by-step explanation:
Regular price of chair = $435
Discount = 47%
Sales price = 47 % of (Regular price)
= $ 0.47 (435)
= $ 204.45
Tax rate = 8.5% = 0.085
Tax amount = Tax rate × Sales price
= 0.085 × 204.45
= 17.37825≈ $ 17.38
The sale price of the chair including tax = Sales price + Tax amount
= $ ( 204.45+17.38)
= $ 221.83
Hence, the sale price of the chair including tax = $221.83