Steps for Solving Linear Equation 3x − 4y = 3 Add 4y to both sides. 3x = 3 + 4y
A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The center of the bridge will pass through (0,2). What is the equation of the line representing the bridge?
This is the same as y = -0.5x+2
==========================================================
Explanation:
Refer to the diagram below.
The blue line is the graph of y = 2x+8, which is the left bank of the river.
For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.
The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.
Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.
So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.
This is the same as y = -0.5x + 2 since -1/2 = -0.5
which expression is equivalent to sin(0.6x) - sin(0.4x)?
Answer:
its 2cos(0.5x) sin(0.1x)
Step-by-step explanation:
Your welcome :)
I’ll give brainliest !!! Pls help!
Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father's. The volume of the Pyramid of Khafre is about
2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.
Answer:
S = √3*2,115,072/ 136 =216
Step-by-step explanation:
Solve for x:
x =?
is it;
45?
30?
22.5?
Answer:
x+3x=90
90/4= 22.5
x-22.5
Answer:
22.5
Step-by-step explanation:
its a 90 degree angle
90=3x+x
90=4x
90/4=x
x=22.5
length = 25cm, bredth =60 cm, Volume = 7500cm^3. Find height of a cuboid.
Answer:
height = 5cm
Step-by-step explanation:
Volume of the cuboid = length x breadth x height
7500 = 25 x 60 x height
height = 7500 / 1500
height = 5
Answer:5
Step-by-step explanation:
V = l×b×h
h = 7500 ÷ (25×60)
h = 5
What are the coordinates of point Q?
Answer:
(0,-3) because its the coordinate
Can someone tell me if I'm right or give me the answer? plzzz. I'm giving 100 points so... just answer quick. 0_0
Answer:
Yes, I think you have the answer correct!
Step-by-step explanation:
I hope you make a good grade!
help a brotha out please
2) Dave borrowed $475 from his credit union at a rate of 5.5% for 2 years. How much will he have to pay them back? *
Answer
$55
Step-by-step explanation:
Finance charge = Interest + Other costs
= $50 + 5
= $55
Which of these statements are correct about a line segment with a length of 12 units in a coordinate plane? Select all that apply. If it is rotated 270° about the origin, its length will still be 12 units. If it is rotated 90° about the origin, its length will no longer be 12 units. If it is reflected across the line y = –x, its length will no longer be 12 units. If it is translated 18 units to the right, its length will no longer be 12 units. If it is translated 15 units up, its length will still be 12 units. If it is reflected across the y–axis, its length will still be 12 units.
Answer:
yo my fault og what am i looking at i not good at math
Answer:
Sum of interior angles in triangles there are four angles; they add up to 360°
Step-by-step explanation:
C = corner/complementary;simply draw a line on the c so that it becomes 90.
S = straight line/supplementary; Take the su, draw a 1 next to the s, put a slash through the s to make it look like an 8,
please help ASAP, i need this and ive asked this 3 times.
Find the missing side length of the right triangle. Be sure to clearly identify
which side is the hypotenuse first. 50 yards and 30 yards
Answer:
40 yards
Step-by-step explanation:
Let the hypotenuse = 50yards
Adjacent = 30yeards
The missing length is x
Using the pythagoras theorem
hyp^2 = opp^2 + adj^2
50^2 = 30^2 + x^2
2500 = 900 + x^2
x^2 = 2500 - 900
x^2 = 1600
x = √1600
x = 40yards
Hence the length of the missing side is 40 yards
1, 3/2 , 9,4 ...
Find the 9th term HELP ASAP
what is an indulgence?
Answer:
In the teaching of the Catholic Church, an indulgence is "a way to reduce the amount of punishment one has to undergo for sins".
Answer:
In the teaching of the Catholic Church, an indulgence is "a way to reduce the amount of punishment one has to undergo for sins"
Step-by-step explanation:
Indulgence is the action or fact of indulging. (in the Roman Catholic Church) a grant by the Pope of remission of the temporal punishment in purgatory still due for sins after absolution. The unrestricted sale of indulgences by pardoners was a widespread abuse during the later Middle Ages.
Indulgence sentence example. The indulgence accentuated the division between those who accepted and those who rejected it. German chocolates are my only indulgence . I went to a party last night, and there out of five ladies three were Roman Catholics and had the Pope's indulgence for doing woolwork on Sundays.
Write the complex number in trigonometric form.
z = 5 - 5i
Answer:
[tex] \large \boxed{ \boxed{ \red{ \ \rm 5 \sqrt{2} ( \cos( \dfrac{7\pi}{4} ) + i \sin( \dfrac{7\pi}{4} ) )}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:imaginary numberPEMDAStips and formulas:[tex] \sf \: formula \: of \: trigonometric \: form : \\ \rm r( \cos( \theta) + i \sin( \theta) )[/tex][tex] \rm \: r = \sqrt{ {a}^{2} + {b}^{2} } [/tex][tex] \rm \theta = \arctan( \dfrac{b}{a} )[/tex]given:z=5-5ilet's solve:complex number:a+bi
therefore
our a is 5our b is -5[tex] \sf sustitute \: the \: value \: of \: a \: and \: b \: into \: the \: modulus : [/tex]
[tex] \rm \: r = \sqrt{ {5}^{2} + ( { - 5)}^{2} } [/tex]
[tex] \sf simplify \: squres : [/tex]
[tex] \rm \: r = \sqrt{25 + 25} [/tex]
[tex] \sf simplify \: addition : [/tex]
[tex] \rm \: r = \sqrt{50} [/tex]
[tex] \sf rewrite \: 50 \: as \: 2 \times 25[/tex]
[tex] \sf r = \sqrt{2 \times 25} [/tex]
[tex] \sf use \: \sqrt{ab} \iff \: \sqrt{a } \sqrt{b} : [/tex]
[tex] \rm r = \sqrt{25} \sqrt{2} [/tex]
[tex] \therefore \rm \: r = 5 \sqrt{2} [/tex]
[tex] \sf sustitute \: the \: value \: of \: a \: and \: b \: into \: the \: agrument : [/tex]
[tex] \rm \theta = \arctan(\dfrac{ - 5}{5} )[/tex]
[tex] \sf simplify \: divition : [/tex]
[tex] \rm \theta = \arctan( - 1)[/tex]
[tex] \theta = - \dfrac{\pi}{4} [/tex]
[tex] \sf add \: 2\pi \: to \: get \: a \: positive \: agrument[/tex]
[tex] \rm \theta = - \dfrac{\pi}{4} + 2\pi \\ \rm\therefore \: \theta = \frac{7\pi}{4} [/tex]
[tex] \sf \: sustitute \: the \: value \: of \: \rm \: r \: and \: \theta : \\ \rm 5 \sqrt{2} ( \cos( \frac{7\pi}{4} ) + i \sin( \frac{7\pi}{4} ) )[/tex]
[tex]\text{And we are done!}[/tex]
Select all expressions equivalent to 6x- - 24.
Answer:
the answer should/could be 6(x-4) & 3(2x-8)
Answer:
6(x - 4) & 3(2x - 8) is the answer
Step-by-step explanation:
6(x - 4) = 6x - 24
2(3x - 24) = 6x - 48
3(2x - 8) = 6x - 24
3(3x - 21) = 9x - 63
can someone help me with this?
What is the solution to the system of linear equations graphed below?
A. (0,4)
B. (4,1/2)
C. (1/2,4)
D. (0,3)
Answer:
b. (4,1/2)
Step-by-step explanation:
tell me w what is the book and notebook
Answer:
a book is something you read a notebook is something you write in.
Step-by-step explanation:
Will mark brainliest
Answer:
A and C are the right answers
Step-by-step explanation:
Top row only
3 out of the 12 squares are shaded in therefore 3/12 which you can simplify into 1/4
Left column only
3 out of the 6 squares are shaded in therefore 3/6 which you can simplify into 1/2
I agree I think the correct answers are A and C
If 5a + 3b = 19 and 4c + 2d = 14 where a, b, c, and d are whole numbers greater than zero, and where a
Answer:
a=2
b=3
c=3
d=1
I hope it helped u
plz hurry x3=−8 thanks have a good day
Answer:
x=-2
Step-by-step explanation:
-2 * -2 * -2 = -8
Find the surface area of the prism.
Answer: [tex]136[/tex]
Step-by-step explanation: [tex]5x7=35[/tex] [tex]5x7=35[/tex] [tex]6x4/2=12[/tex] [tex]6x4/2=12[/tex] [tex]7x6=42[/tex] [tex]35+35+12+12+42=136[/tex]
How did the artists of the Harlem Renaissance try to combat stereotypes and racism?
Answer:
I answered your other question but I do not know the answer to this one, sorry
Step-by-step explanation:
look up Harlem Renaissance website for information
Which of the following best describes the solution to the equation below?
28 + 6x = 9x
A.
exactly one real solution,
B.
infinite real solutions
C.
no real solutions
D.
exactly one real solution,
Answer:
Option A or D
Step-by-step explanation:
This is because only one variable is their which has only one exact real solution to satisfactory.
Answer:
D. exactly one real solutionStep-by-step explanation:
heres my answer hopes it helps :)
A camera has a listed price of $833.99 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales
tax included.
Round your answer to the nearest cent, as necessary.
Answer:
904.88
Step-by-step explanation:
8.5% of 833.99 is 70.88915
70.88915 + 833.99 = 904.87915
904.87915 rounded to the closest cent is 904.88
Stay safe! <3
How do you graph (0,3.5)
Answer:
In a coordinate axis, the horizontal line is called the x-axis, and the vertical line is called the y-axis.
1) Then if you have a point (x, y), to graph this you go at the horizontal axis to find the value x,
2) Starting from the point you already found, now you need to move y units in the vertical axis.
Now we want to graph the point (0, 3.5).
First we need to locate the value 0 in the horizontal axis, this is the point where both axes intersect.
Now we move 3.5 units, because the number is positive, we move 3.5 units upwards.
The graph of the point is shown below.
I need help with this math problem
Answer:
tui kobic tor hada kobic furi
Jackie has one sister. Jackie's sister is 4 years older than her. The girls' ages add up to 28. Write an equation to solve for Jackie's age. *
Answer:
Jackie's age = 12 years and Her sister's age = 16 years
Step-by-step explanation:
Let the age of Jackie be x.
Her sister's age = (x+4)
The sum of ages = 28
ATQ,
x+x+4 = 28
2x+4 = 28
2x = 24
x = 12
Jackie's age = 12 years
Her sister's age = (12+4) = 16 years
Hence, this is the requiredsolution.
1. When Jack and Jill work together, they can carry a cooler of
water up a hill in 12 hours. When Jill works alone it takes her
7 fewer hours than when Jack works alone. How long would it
take Jack, working alone, to carry a cooler of water up a hill?
9514 1404 393
Answer:
28 hours
Step-by-step explanation:
Let x represent Jack's time. Then Jill's is x-7. Together their rate of carrying water in hills per hour is ...
1/x + 1/(x -7) = 1/12
Multiplying by 12x(x -7) gives ...
12(x -7) +12x = x(x -7)
x^2 -31x +84 = 0 . . . . . subtract the left side and simplify
(x -3)(x -28) = 0 . . . . . . . . . . factor
x = 3 or x = 28 . . . . . . . . . . x-values that make the factors zero
We know the times must be longer than 12 hours, so the value x=3 is extraneous for this problem.
It takes Jack 28 hours to carry the cooler of water up the hill working alone.
A piano that cost Sunset Planos 83, 250 has a markup rate of 52%. Find the selling price of the piano
Answer:
$160,096.15
Step-by-step explanation:
the key word in this problem is the words markup price meaning an increase of 52% from the $83,250 so divide the $83,250 by 52% or .52