Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
Write the expression (2−3i)+5i(1−3i)
as a complex number in standard form.
Answer:
17 + 2i
Step-by-step explanation:
Given
(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis
= 2 - 3i + 5i - 15i² [ i² = - 1 ]
= 2 + 2i + 15
= 17 + 2i ← in standard form
The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
What is a complex number?
A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.
Given:
(2−3i) + 5i(1−3i)
Use the distributive property and expand the expression,
(2 − 3i + 5i - 15i²)
2 + 2i - 15(-1) [i² = - 1]
2i + 17
Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
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If g(x) = 2(x – 4), find the value of x if g(x) = 20. (2 points) 0 14
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
g(x) = 2(x - 4)
g(x) = 20
Step 2: Solve for x
Substitute: 20 = 2(x - 4)Divide 2 on both sides: 10 = x - 4Add 4 to both sides: 14 = xRewrite: x = 14What are the slope and y-intercept for the graph of y = -10x + 2?
Answer: slope is -10, y intercept is + 2
Step-by-step explanation:
slope is -10, y intercept is + 2
This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)
Answer: Happy holidays!
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game. Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
Answer:
X+14=y
Step-by-step explanation:
Joshua and Brandon buying a pizza for their math class. They will spend $77. Joshua will pay six times more then Brandon. How much will Joshua pay?
Answer:
$66
Step-by-step explanation:
For this problem, we will simply write two equations to solve how much each person will pay.
Let x represent the amount of dollars joshua pays and y represent the amount of dollars brandon pays. Then we can say the following:
x + y = 77
x = 6y
Using these two equations, we can solve for how much Joshua will pay.
x + y = 77
6y + y = 77
7y = 77
y = 11
x + y = 77
x + 11 = 77
x = 77 - 11
x = 66
Hence, Joshua pays $66 and Brandon pays $11.
Cheers.
Help plssssssssss!! Will give brainliest!! 1 and 2
Answer:
Step-by-step explanation:
5+4^2-6/3
use pemdas
Answer:hahaj
Step-by-step explanation:
Giving brainliest need help with this please
Answer:
y-intercepts: (0,5)
x-intercepts: (5/2,0)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
45% of _____________is 165
Answer:
366.666666Step-by-step explanation:
Let the number be x
45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?
Answer:
A≈50298
Step-by-step explanation:
Is y=4x+6 a proportional relationship?
The answer is proportional
There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles
Answer:
4:5
Step-by-step explanation:
please help its timed
Answer:
no solutions
Step-by-step explanation:
this is a little tricky I need help
Answer:
1.5
Step-by-step explanation:
Describe the transformation of the graph y = (x)^3 + 6
The graph of y = x^3 + 6 is the result of shifting y = x^3 up 6 units
If f(x) = x^3, then g(x) = f(x) + 6 leads to g(x) = x^3+6.
The reason we shift up 6 is because we're adding 6 to the y coordinate.
Think of y = f(x), so f(x)+6 is the same as y+6.
Pythagorean Theorem
As part of Fort Yargo State Park's Geocaching
spectacular, Kylee, Constance, Zoe go on a GPS
treasure hunt. They start at the welcome center and
walk 250 feet due north. They then turn and walk 100
feet due east. They turn again and walk 150 feet due
south to the first geocache.
How far are Kylee, Constance, and Zoe from the
welcome center?
ANSWER ASAP
I will give lotta points and brainly, find the area and plz make it correct
Answer:
The area of what?? Is there a picture or something to go with this...
Step-by-step explanation:
Also the area of a rectangle, square, or parallelogram is Base x Height
The area of a triangle is (base x height) ÷ 2
The area of a circle is πr²
The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side
The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height
If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.
That's all I can do to help because I don't know what you want me to find the area of :/
What is value of 1/3 ÷ 1/12 *
4
1/4
1/36
1/6
Answer:
its the first one 4
PLEASE HELP ASAP
Louis earns a base monthly salary of $1,200 with 5% commission on sales. For a month with $25,000 in sales, what are Louis's total earnings?
Answer:
$2,450
Step-by-step explanation:
Since Louis earns 5% commission on sales, multiply the sales by 0.05:
25,000 × 0.05 = 1,250
Add that to the base salary:
1,250 + 1,200 = 2,450
Hope this helped!
FINDING ANGLE MEASURES
Find x.
I need the answers bad
Answer:
m<1=72
m<2=72
m<4=72
Step-by-step explanation:
1.4 –
( ___ ) = 2
i need an answer but it wont let me paste the picture :(
Answer:
answer is -0.6
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
1.4 - -0.6 = 2
which of the following is a non terminating decimal ( )
a)¾ b) ⅘ c)⅓ d) none
C is a non terminating decimal.
a = 0.75
b = 0.8
c = 0.333333 (and will never terminate)
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount. What is the cost in dollars and cents for each video game? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
Cost in dollars and cents for each video game = $23.98
Step-by-step explanation:
Total amount Marshall paid for four video games = $100
Total change given to Marshall = $4.08
Actual cost of the video games = Total amount Marshall paid for four video games - Total change given to Marshall
= $100 - $4.08
= $95.92
Total number of videos games bought = 4
What is the cost in dollars and cents for each video game
Cost of each video game = Actual cost of the video games / Total number of videos games bought
= $95.92 / 4
= $23.98
Cost in dollars and cents for each video game = $23.98
23 dollars .98 cent
The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
what 25 time 358 divided by 1.6
Answer:
5593.75
Step-by-step explanation:
Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.
Answer:
24,12
Step-by-step explanation:
suppose,
x+y=36
x=2y
2y+y=36
y=12
x=24
Graph the line with the equation y = -5x + 2.
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
8% as a fraction in its simplest form
Answer:
8/100 Simplified is 2/25 in it's simplest form!
Step-by-step explanation:
Hope this helps! :)
Have a great day!
The number 8 % as a fraction in the simplest from is 2/25
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is = 8 %
So , the equation will be
The value of A = 8 %
Now , the value 8 percentage can be written as a fraction of 100
So , the value of A will be
The value of A = 8/100
Now , on dividing the numerator and denominator by 4 , we get
The value of A = 2 / 25
So , the value of A in the simplest form of the number A is 2/25
Hence , The number 8 % as a fraction in the simplest from is 2/25
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Evaluate (-7)2.
p l e a s e
a n s w e r
q u i c k\
Answer:
(-7)2 = -14
Step-by-step explanation:
The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!
Answer:
-14
Step-by-step explanation:
just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.
last, since 7 was negative in the first place then you turn your product back to a negative and you get -14
mark brainliest :)