Answer:
Width= 36 Length=78
Step-by-step explanation:
width= w
length = 2w+6
perimeter = 2(l+w)
228=2(2w+6+w)
228 = 2(3w+6)
228=6w+12
216 =6w
w=36
width= w=36 ft
length = 2w+6 = 2(36)+6=78 feet
Write the slope-intercept form of the equation to the line parallel to the graph
of y+6=-4(x-1) that passes through the point (2,4).
Answer:
y = -4x + 12
Step-by-step explanation:
Parallel lines have the same slope. Since the slope of the given equation is -4, then the slope of the other line parallel to it must be the same.
Using the slope, m = -4, and the given point, (2, 4):
Substitute these values into the slope-intercept form:
y = mx + b
4 = -4(2) + b
4 = -8 + b
4 + 8 = -8 + 8 + b
12 = b
Therefore, the equation of the line parallel to y + 6 = -4(x - 1) is:
y = -4x + 12
Answer:
4x-2
Step-by-step explanation:
Slope intercept form is y=mx+b, so get y on one side.
do the multiplication first -4(x-1) is -4x+4
Now move the six to the other side; y=-4x+4-6
Simplify, y=-4x-2
Write the equation of the graph in slope-intercept form (y=mx+b).
Write the equation without spaces:
Answer:
y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value. When a standard form of a linear equation is of the form Ax + By = C, where 'x' and 'y' and 'C' are variables and 'A', 'B' are constants, the slope-intercept form is the most preferred way of expressing a straight line due to its simplicity, as it is very easy to find the slope and the 'y intercept' from the given equation.
Meaning of y = mx + b
y = mx + b is the slope-intercept form of a staight line. In the equation y = mx + b for a straight line, m is called the slope of the line and b is the y-intercept of a line. y = mx+b, where
y ⇒ how far up or down is the line,
x ⇒ how far along is the line,
b ⇒ the value of y when x = 0 and
m ⇒ how steep the line is.
This is determined by m = (difference in y coordinates)/ (difference in x coordinates). Note that difference in y coordinates is indicated as rise or fall and difference in x coordinates is indicated as run.
Step-by-step explanation:
22. The function C= 75x + 2600 gives the cost, in dollars, for a small company to
manufacture x items. The function R = 225x-X gives the revenue, also in
dollars, for selling x items. How many items should the company produce so
that the cost and revenue are equal?
Given:
[tex]c=75x+2600\\[/tex]; where c is cost in dollars and x is items sold
[tex]r=225x-x^{2}[/tex]; where r is revenue in dollars and x is items sold
Equations:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Answer:
For cost and revenue to be equal, the company should produce and sell 20 or 130 items.
[tex]x=20\\[/tex] or [tex]x=130[/tex]
Step-by-step explanation:
1. Set the equations equal to each other; [tex]75x+2600=225x-x^2[/tex]
2. Subtract [tex]225x-x^2[/tex] from each side; [tex]x^2-150x+2600=0\\[/tex]
3. Determine quadratic formula variables; [tex]a=1; b=-150; c=2600[/tex]
4. Substitute [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into quadratic formula; [tex]x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}[/tex]
5. Solve quadratic formula; [tex]x_{1} = 130[/tex], [tex]x_{2}=20[/tex]
What is .73% of 125?
Answer:
The answer to that is 91.25
-9(n+6) can someone help me
Answer:
-9n-54
Step-by-step explanation:
PLEASE HURRY WILL GIVE BRAINLIEST
c=4a+4b solve for b
Answer:
[tex]b = -a +\frac{1}{4}c[/tex]
Step-by-step explanation:
Step 1: Flip the equation.
[tex]4a + 4b = c[/tex]Step 2: Subtract 4a from both sides.
[tex]4a + 4b - 4a = c - 4a[/tex] [tex]4b = c - 4a[/tex] [tex]4b = -4a + c[/tex]Step 3: Divide both sides by 4.
[tex]\frac{4b}{4}=\frac{-4a}{4} + \frac{c}{4}[/tex] [tex]b = -a + \frac{1}{4}c[/tex]Therefore, the answer is [tex]b = -a + \frac{1}{4}c[/tex].
Hope you have a lovely rest of your day/night.
Answer:
b = [tex]\frac{c - 4a}{4}[/tex]
Step-by-step explanation:
c = 4a + 4b
Subtract 4a from both sides:
c - 4a = 4a - 4a + 4b
c - 4a = 4b
Divide both sides by 4 to solve for b:
[tex]\frac{c - 4a}{4} = \frac{4b}{4}[/tex]
b = [tex]\frac{c - 4a}{4}[/tex]
Please mark my answers as the Brainliest if you find my solutio helpful :)
5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.
(1)×3 and (2)×5
15x-9y=33-(3)15x+20y=20-(4)Subtract both
[tex]\\ \sf\longmapsto -29y=13[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-13}{29}[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11[/tex]
[tex]\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{278}{145}[/tex]
help me please asapppppp it should be marked in 6mins hurry up
100 point if u answer this correctly pls hep me
For this question you will write a two-column proof of the first part of the Overlapping Angle Theorem. Use the proof for the Overlapping Segment Theorem as your model for this proof.
You must use the two-column format for this question. Write the proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3
Step-by-step explanation:
Statement Reason
m∠KER = m∠MEN Given
m∠KER = m∠1 + m∠2 Angle addition
m∠MEN = m∠2 + m∠3 Angle addition
m∠1 + m∠2 = m∠2 + m∠3 Substitution property of equality
m∠1 = m∠3 Subtraction property of equality
proved
Simplify the expression -15m + 9m
Answer:
-6M
Step-by-step explanation:
djdurjjrfjfrjrjrjrf
What rotation centered about the origin maps (4, −7) to (7, 4) ?
90° counterclockwise
180° counterclockwise
270° counterclockwise
Answer:
A) 90° counterclockwiseStep-by-step explanation:
Preimage (4, - 7) and image (7, 4).
Rule applied:
(x, y) → (-y, x), this is a 90° counterclockwise rotationCorrect choice is A
Answer:
Option A
Step-by-step explanation:
90° counterclockwise rotation about origin rule is
(x,y)=(-y,x)So here
(4,-7)Rotate it
(-(-7),4)(7,4)Option A is correct
perpendicular to y = 5/2x - 1 and passes through (-1, -4)
Smith and his friends are gaming online on a popular website. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online initially?
Write the problem__
People on line originally
Answer:11 people
Step-by-step explanation:
If X1/12 = 491/24 then find the value of X.
Answer:
[tex]X1/12=491/24[/tex]
[tex]By \: cross \: multiplication,[/tex]
[tex]24x=491×12[/tex]
[tex]x=5892/24[/tex]
[tex]x=245.5[/tex]
which expression is equvialent to a+4a+8
Answer:
Step-by-step explanation:
Answer:
5a + 8
Step-by-step explanation:
In the circumstance where a is unknown, we combine like terms to get 5a + 8
Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the pre-tax total. What was the total amount they paid for dinner?
Answer:
$97.524
Step-by-step explanation:
1+√x/1-√x + 1-√x/1+√x
Answer:
if x was 3... itd be 2
Step-by-st/ep explanation:
Evaluate for x=3
1+
√3
1
−√3+1−
√3
1
+√3
1+
√3
1
−√3+1−
√3
1
+√3
=2
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Answer:
[tex]9\sqrt{3}[/tex] cm^2
Step-by-step explanation:
area of an equilateral triangle = [tex]\frac{s^{2} \sqrt{3} }{4}[/tex] (s = length of the side)
area = [tex]\frac{6^{2}\sqrt{3} }{4}[/tex]
area = [tex]\frac{36\sqrt{3} }{4}[/tex]
area = [tex]9\sqrt{3}[/tex] cm^2
Please answer this please
Answer:
the people don't believe in ghosts=372000.
( in scientific notation 3.72×10^5)
...........
Answer:
10,372,000
Step-by-step explanation:
subtractio=128,000 -10,500,000
7±9÷3±2×4 what is the answer for this
Answer:
the answer is 18
Step-by-step explanation:
7+9÷3+2x4= 18
Can someone please help me??
Answer:
the missing side of the triangle is 4, solving by the theorem of Pitagoras a^2 + b^2 = c^2
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=8^2-(4√3)^2[/tex]
[tex]\\ \sf\longmapsto P^2=64-48[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=√16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
A population grows according to an exponential growth model. The initial population is 215 and the population after one year is 278.
Complete the formula where P is the population and n is the number of years.:
Answer:
?????
Step-by-step explanation:
the question is in the above
please write your answer with explaination
thank you so much and have a great day
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
we know that volume of a sphere is :
[tex] \boxed{ \boxed{ \frac{4}{3} \pi {r}^{3} }}[/tex]so, let's solve for radius (r) :
[tex] \dfrac{4}{3} \pi {r}^{3} = 288 \pi[/tex][tex]r {}^{3} = 288 \pi \times \dfrac{3}{4 \pi} [/tex][tex]r {}^{3} = 72 \times 3[/tex][tex]r {}^{3} = 216[/tex][tex]r = \sqrt[3]{216} [/tex][tex]r = 6[/tex]value of radius (r) = 6 units
What are rates and
unit rates?
Answer:
Rate is the ratio between two different units of measure.
Unit rate is the ratio of between two different units of measure for a single thing.
can someone please do this math problem with process shown
here ...
let us suppose breadth of the room be x.
then, length = 2x
now ,the cost of plastering the floor is RS 1080 at rate of RS 15 per ...
hence
the area of floor{length *breadth} =1080/15
x*2x=72
or,2x^2=72
or,x=√(72/2)
hence, the value of x= 6m
(ie. breadth {x}=6. &. length {2x}=12)
again....
we have ,
volume of the room (length *breadth*height)is 396m^3
12*6*height=396
72*height=396
height=396/72
hence , height=5.5
we know,
the area of 4 walls = 2( length+breadth)*height
=2(12+6)*5.5
=198
hence the cost of plastering 4 walls at the rate of RS 20 per SQ meter = 198*20=RS 3960
q + 67 = q+68
what is q?
HELLP THIS IS EASY 8TH GRADE STUFF BUT
scale the numerator and the denominator down by a factor of 5 (just divide) to write a fraction equivalent to 30/70.
Answer:
6/14
Step-by-step explanation:
you need to just divide the denominator and numerator by 5. 30 / 5 is 6 and 70 / 5 is 14 so your answer is 6 / 14.
help me math homework part 2
Kaitlin earns $8 for each hour she works. She figures out that her expenses for gas and car insurance are
$24 each week. If she wants to earn $120 after her expenses, write and solve an equation to figure out
how many hours she must work each week.
8-7(-6 + 5^2 )4 / 3+2
Answer:
-121 2/3
Step-by-step explanation: