Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y - 1 = 0 ( subtract 3x - 1 from both sides )
y = - 3x + 1 ← in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = - 3x + 7 ← equation of line in form y = mx + c
2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)
Please explain
Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
solve pls brainliest
Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
Please help homework due tomorrow!!
12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?
13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?
Answer:
12-157.5 13-6ft
Step-by-step explanation:
the first one just look up 65% of 450 and minus the number you get by 450
the second one do the butterfly method
[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]
the heights on top and shadows on bottom
12x=72
x=6
4(x-3)/8=y change the subject to x
help me fro brainleist.........
Answer:
2nd one is parallel and last one is perpendicular.
A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
P=2L + 2W; L= 4, W = 8
Answer:
P = 24
Step-by-step explanation:
P = 2L + 2W ( substitute L = 4, W = 8 into the formula )
P = 2(4) + 2(8) = 8 + 16 = 24
Answer :
Step-by-step explanation:
P=2(4)+2(8)
P=8+16
P= 24
What are the names of these polygons?
a)
b)
c)
d)
can anyone help pls?
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
y = 0.5x + 6.50Learn more : https://brainly.com/question/17225268
if an angle is bisected to form two new 16° angles, what was the measure or the original angle
Answer:
32°
Step-by-step explanation:
16 × 2 = 32
Keywords:
Bisected; means to divide into two parts.
Answer:
So, original angle = 16°+16° =>32°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?
Answer:
3.81 km
Step-by-step explanation:
You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.
So multiply 670 by 0.001 which gives you 0.67.
Then add this to the amount he has already walked to get the total amount of kilometers he has walked.
Answer:
3.81 or
[tex]3 \frac{81}{100} [/tex]
Step-by-step explanation:
explanation above
Answer the question below:
A: 2 units right and 6 units up
B: 6 units left and 2 units down
C: 2 units left and 6 units up
D: 6 units right and 2 units down
Answer:
c
Step-by-step explanation:
The area of the octagon below is 10,391. 9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391. 90 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm.
The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.
Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 56X / 2 = 10,391.90 56X = 10,391.90 x 2 X = 20,783.80 / 56 X = 371,139 371.14 / 8 = 46.4
Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.
Learn more about maths in https://brainly.com/question/25749130
Answer:
Perimeter is 371mm
Length of one side is 46mm
Step-by-step explanation:
Got it right on Edge :)
Y=2x + 11
Solve the problem.
[tex]y = 2 \times + 11 = x = - \frac{11}{2} [/tex]
Answer:[tex]x = - \frac{11}{2} [/tex]
find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
I would appreciate if you answered!
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
i need help with something pls help asap
Answer: h < 7
Step-by-step explanation:
h + 3 < 10
h + 3 - 3 < 10 - 3
simplify:
h < 7
Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.
Answer:
-2.4, or -72/30 or -2 4/10
Step-by-step explanation:
m + np - q
m = 1/15
n = -1/3
p = -0.4
q = 2 1/3
1/15 + (1/3)(-0.4) - 2 1/3
1/15 + (-4/30) - 2 1/3
2/30 - 4/30 - 70/30
-2/30 - 70/30 = -72/30
-72/30 = -2.4
-Chetan K
What is a rate in math.
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
A store had a 20% off
Black Friday sale. One item was
originally $75. How much was it on
sale for
Answer:
$60
Step-by-step explanation:
20% off means 80% of original price
80% = 8/10 or 0.8
75 * 0.8 = 60
you could also do 20% = 1/5, 1/5 of 75 is 15, 75-15=60
The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?
Answer: Percentage increase is 87.02%.
Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.
a. Subtract value in 2012 from value in 2011
b. Divide the answer in part a by value in 2011.
c. Multiply the answer in part b by 100.
We have the percentage increase.
mark brainliest pls
Which scatter plot shows a positive linear association
Answer:
Plot AStep-by-step explanation:
Both B and C show a decreasing plot, while C is linear.
Only A is a positive ignoring the outliers.
Type the missing digit below
6,387,_36 is divisible by 8.
Angles of a triangle worksheet
I got most of it but still confused on the rest… anyone got answers ASAP!
Answer:
I wish a could help u,
Step-by-step explanation:
I dont know what is that:)
Please help (picture is linked)
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Write an equation of a line that passes through the point (2, 0) and is perpendicular to the line y=-1/2x+3
Answer:
I think it's. y=-2/1x+2
3
15. 6x + 10y=0
Find the slipe
Answer: y = -3/5x
............................................
solve the short line equation, image attached, giving brainliest please help
Answer:
x = 3
Step-by-step explanation:
2 - 2x = -3 - -1
2 - 2x = -4
-2x = -6
-2x / -2 = 1x
-6 / -2 = 3
ur answer is then 1x = 3 or x = 3.
What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)
[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]
There are no like terms so we can't simplify itFactoring[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]
[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]
Answer:
Choice D
Step-by-step explanation:
Factorise: 4x²-9y²
We can obtain the factorization by this identity:
a² - b² = (a+b)(a-b)Rewrite the given expression as:
(2x)² - (3y)²Let (2x)² be a and (3y)² be b according to the identity.
So applying the identity:
(2x+3y)(2x-3y)(2x-3y)(2x+3y)Choice D is accurate.
Please help. ( WILL MARK BRAINLIEST)
Answer:
499.2 cm^2
Step-by-step explanation:
((12*10.4)/2)*8=6*10.4*8=499.2
Formulas Used:
Area of triangle - 1/2bh
Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour
Answer:
The final total including tax is 838.5
The sale tax is 58.5
Step-by-step explanation: