Answer:
Line 1 and line 2 are neither parallel nor perpendicular
Line 1 and 3 are perpendicular to each other
Line 2 and line 3 are neither parallel nor perpendicular
Step-by-step explanation
Given the equations of the line
Line 1: 4x-6y= -6
Line 2: -3y=2x+5
Line 3: y= -3/2x-5
Before we can know which line is parallel or perpendicular to each other, we need to find their slope first
For line 1:
4x-6y= -6
Write in standard form y = mx+c
-6y = -4x - 6
Divide through by -6
-6y/-6 = -4x/-6 - 6/-6
y = 2/3 x + 1
The slope of line 1 is 2/3
For line 2:
-3y=2x+5
Divide through by -3
-3y/-3 =2x/-3 + 5/-3
y = -2/3 x - 5/3
The slope of this line is -2/3
For line 3:
y= -3/2x-5
this is already written in standard format. The slope of this line is -3/2
Note that for two lines to be parallel, they must have the same slope
For two lines to be perpendicular, the product of their slope must be -1
For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.
For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine can produce in 1 hour
Answer:
180 yards of fabric produced in 1 hour
your welcome :)
C.E.R.
INSTRUCTIONS:
Given that AD II FJ. Use the diagram of a staircase railing to find the value of n. (Think parallel lines cut by a transversal)
then, What is your EVIDENCE? Show all of your work here.
LASTLY, Reasoning-Explain your work, tell me in words why you did the math this way.
CAN SOMEBODY PLZ HELP
Answer:
n = 35Step-by-step explanation:
AD║FJ and CH is transversal
∡BCH and ∡CHJ are alternate interior angles
m∡BCH = m∡BCG + m∡GCH = 82° + 30° = 112°Alternate interior angles are congruent:
m∡BCH = m∡CHJ3n + 7 = 1123n = 105n=105/3n = 35need help on this asap pleaase
Can someone please help me anyoneeeee
Answer:
(8, 0)
Step-by-step explanation:
TAKE NOTE: In a glide reflection, you always start w/ the second transformation.
STEP 1: (2, 7) affected by the reflectionRULE (in this case): (x, y) --> (y, x)
(2, 7) => (7, 2)
STEP 2: (7, 2) affected by the translationRULE: (x, y) --> (x + horizontal shift, y + vertical shift)
(7, 2) => (7+1, 2-2) or (8, 0)
You can check your answer by doing this the opposite way.
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!]
what is the slope (2,-9) (-2,9)
Answer:
[tex]\bold{m=-\dfrac92=-4.5}[/tex]
Step-by-step explanation:
[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
(2, -9) ⇒ x₁ = 2, y₁ = -9
(-2, 9) ⇒ x₂ = -2, y₂ = 9
So the slope:
[tex]\bold{m=\dfrac{9-(-9)}{-2-2}=\dfrac{18}{-4}=-\dfrac92}[/tex]
Evaluate 2d - 5 if d is 12
Pls help im timed
Answer:19
Step-by-step explanation:2 d -5
2 (12) -5
24-5
=19
Jennifer received a $25 gift certificate from a music store. She can use it to buy 2 CD’s and 5 cassettes or 1 CD and 15 cassettes. Find the cost of 1 CD and 1 cassette.
Please help A.S.A.P.
Answer:
CD = 10$
Cassette = 1$
Step-by-step explanation:
ok, time to use some variables
C = CD
S = Cassette
2c + 5s = 25$
1c + 15s = 25$
the second equation has 1 less CD and 10 more Cassettes, therefore 1c = 10s
Now we can calculate how many Cassettes we can buy
1c - 1c = 0c
15s + 10s = 25s
This means that 25s = 25$
therefore 1s = 1$
since we know that 10s = 1c, and 1s = 1$, then we can figure out how many dollars the CD is
1c = 10s = 10$
1c = 10$
Variables are helpful :)
Please help its for a grade.
Answer:
See below
Step-by-step explanation:
Taking the readings from the graph
x .... y0 .... 22 .... 64 .... 106 .... 14Rate of change for the given line is:
(6 - 2)/2 = 4/2 = 2y- intercept is 2Equation for the line is:
y = 2x + 2For the point (40, 76) we can verify with the equation:
40*2 + 2 = 82The point (40, 76) is close the line but the line doesn't pass through it.
Answer:
x | y
0 | 2
2 | 6
4 | 10
6 | 14
Equation of the line is
[tex] \frac{y - 2}{x - 0} = \frac{6 - 2}{2 - 0} \\ \frac{y - 2}{x} = \frac{4}{2} = 2 \\ y - 2 = 2x \\ y - 2x = 2\\ \boxed{y=2x+2}[/tex]
When x=40, y will be (2×40)+2 =82
So the point should pass through (40,82) and not (40,76).
Please help ASAP ASAP please if you don’t know don’t answer just to get points please *
Answer: CB = 7. AC = 5.
Step-by-step explanation:
Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.
Now AC.
You divide 45 degrees by 7. And you get five.
So AC = 5 and CB = 7.
Answer:
AC= 7√6/2
CB=7√2/2
Step-by-step explanation:
i posted with answers in the photo
put 73.5 in √ it gives u 7√6/2
What is the inverse of function f?
9514 1404 393
Answer:
C. f^-1(x) = (∛(x+1))/4
Step-by-step explanation:
The inverse function can be found by solving x = f(y) for y.
[tex]f(y)=x\\\\64y^3-1=x\\\\64y^3=x+1 \qquad\text{add1}\\\\4y=\sqrt[3]{x+1} \qquad\text{cube root}\\\\y=\dfrac{\sqrt[3]{x+1}}{4} \qquad\text{divide by 4}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{x+1}}{4}}[/tex]
9th grade math please help. A B C or D?
Answer:
B = no solution
Step-by-step explanation:
y = -5x - 3
-5x - y - 3 = 0
Substitute
-5x - (-5x - 3) - 3 = 0
Distributive Property
-5x + 5x + 3 - 3 = 0
Combine Like terms
0 + 3 - 3 = 0
0 + 0 = 0
0 = 0
This system has no solutions. You don't have a value for x or y
Hope this helped
Please help it’s called Writing Equations
Answer:
1. A.)4 - 4n = 14
2. C.) 42 * 3 = B
Step-by-step explanation:
1. Four less than : 4 -
Four times a number : 4 × n = 4n
(let n represents the number)
Equals 14 : = 14
= 4 - 4n = 14
2. Each person paid : $42
Keith, Alyssa, and Sara : 3
The bill : let B represent bill
= $46 * 3 = B
I hope this helps!
John Brought 75 shares of HCC stock and 150 Shares
of BWB stock. Last year HCC paid a dividend of $285 per share
and Bwb paid a dividend of $2.0t per share. What was the total
dividend that John Received ?
Please help! Lauren is 16, and Cara is 14. Their grandad gives them $1200 to share in the ratio of their ages. How much money do they each get? Show your work, please!!
Answer:
Lauren will get $640 and Cara will get $560.
Step-by-step explanation:
Given that:
Age of Lauren = 16
Age of Cara = 14
Ratio = 16 : 14
Amount given by their grandad = $1200
Let,
x be the number of times.
16x + 14x = 1200
30x = 1200
Dividing both sides by 30
[tex]\frac{30x}{30}=\frac{1200}{30}\\x=40[/tex]
Share of Lauren = 16x = 16*40 = $640
Share of Cara = 14x = 14*40 = $560
Hence,
Lauren will get $640 and Cara will get $560.
the sum of two number is 45. if one of them is 27 find other in equation with process
Step-by-step explanation:
Hey there!
Given;
The sum of two numbers is 45.
One of them is 27.
Let next number is "x".
So, Add "x" and "27" and show it is equal to 45.
Or, x+27 = 45
Therefore, x+27 = 45 is the required equation.
Now, solving unknown number.
~ Take "27" to right side and subtract it.
x= 45 - 27
X= 18
Therefore, next number is (x) = 18.
Hope it helps...
ANSWER = 18
Step-by-step explanation:
the sum of two no. =45
one no.=27
therefore,
two no.=
45-27=18
HOPE IT'S HELP FOLLOW MEFOR YOUR ALL PROBLEM OF THE QUESTIONI ANSWER ALL YOUR QUESTIONfind the ratio of a side length in triangle ABC to a side length in DEF then simplify the ratio
Answer:
4. 1/2
5. 9/1
Step-by-step explanation:
4. 2/4 simplifies to 1/2
5. 18/2 simplifies to 9/1
how do i answer this?
Answer:
surds are option A, D and E
[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]
Step-by-step explanation:
Given;
[tex]A. \ \sqrt{17} \ \ \ \ B. \ \sqrt{36} \ \ \ \ C. \ \sqrt{100} \ \ \ \ D. \ \sqrt{15} \ \ \ \ E. \ \sqrt{30}[/tex]
A Surd have no perfect square root.
B. √36 = 6
C. √100 = 10
Option B and C have perfect square roots.
Thus, surds are option A, D and E, which have no perfect square root.
[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]
Subtract
- 3x 8 from 4x2 – 7x – 2.
-2 • (4x2from4 + 5x + 1)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(2): Dot was discarded near "2.".
STEP
1
:
Equation at the end of step 1
((-3x - (23from4 • x2)) - 7x) - 2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-8x2from4 - 10x - 2 = -2 • (4x2from4 + 5x + 1)
Trying to factor a multi variable polynomial :
3.2 Factoring 4x2from4 + 5x + 1
If you have a hypotenuse that measures 13 inches, what do the side lengths need to be to create a right
triangle?
13 inches and 1 inch
12 inches and 10 inchas
12 inches and 5 inches
6 inches and 5 inches
Answer:
12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.
Write the expression in standard form. 28m ÷ 7m
Nothing further can be done with this.
28m / 7m
Hope this helps :)
Will give brainless if solved
1. what is the measure of angle 4 ?
2. What is the measure of angle 1?
3. What is the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer choices: 127 degrees, 155 degrees, 20 degrees,85 degrees, 120 degrees,70 degrees, 90 degrees,25 degrees,95 degrees,63 degrees. Supplementary angles, complementary angles , and vertical angles
Answer:
1. 70 2. 85 3. 63 4. 20 5. They are vertical angles
Step-by-step explanation:
can someone help on a)
please its due soon :(
what is BC - b + c when b equals 8 and C equals 5
Answer:
37
Step-by-step explanation:
This simply requires plugging in the numbers-
bc - b + c = ?
(8)(5) - 8 + 5 = ?
Then solve-
40 - 8 + 5 = ?
32 + 5 = 37
Therefore-
bc - b + c = 37
Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why
Answer:
Square.
Step-by-step explanation:
a). Properties of a square → 1). All sides are equal in measure
2). All interior angles are equal and measure 90°
3). Diagonals are perpendicular and equal in
measure.
Therefore, by third property, its a square because diagonals are perpendicular and congruent.
Cora uses a ratio of 18 cherries to 3 peaches when she makes a pie filling. Lena uses an equivalent ratio to Cora. If Lena uses 9 peaches, how many cherries does she use?
HELP ASAP A furniture manufacturer must pay $16.91 to make a certain kind of chair, which it can sell for $55.75. If the manufacturer has starting overhead costs of $18,340, not including production costs, how many chairs must it sell to realize a profit of $24,850, to the nearest chair?
a. 1,112
b. 918
c. 775
d. 640
(10 points and brainliest if the answer is right)
Answer:
A. 1,112
Step-by-step explanation:
The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.
Option A is the correct answer.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's start by finding the profit per chair:
So,
Profit per chair = Selling price - Production cost
= $55.75 - $16.91
= $38.84
Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:
Profit = Profit per chair x Number of chairs sold - Overhead costs
$24,850 = $38.84x - $18,340
$43,190 = $38.84x
x = 1,112.49
Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.
Therefore,
The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Solve for x. Enter the solutions from least to greatest.
4x^2 + 40x + 84 = 0
Answer:
x= -3 , -7
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x^2+40x+84=0
i divide first by 4 the whole equation
x^2+10x+21=0
we use the quadratic formula to solve it
and you will get x=-3, and -7
from least to greatest
-7 ,-3
When subtracting with negative numbers, change the problem to an
problem and
Answer:
Subtracting a number is the same as adding the opposite of the number
Step-by-step explanation:
Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.
HEEEEEEEEEEEELP Solve the system of equations using the substitution method. Make sure to check your solution. y = 3x + 2 -4x + 4y = 16 In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2. x-coordinate: y-coordinate:
Answer:
y=3x+2
-4x+4y=16
-4x+4(3x+2)=16
-4x+12x+8=16
8x=16-8
8x=8
x=8/8
x=1
y=3x+2
y=3(1)+2
y=3+2
y=5, x=1
What is the value of 3/4 divided by 2/1/2
Answer:
hello your answer will be 9/2