Answer:
perpendicular line: y = -¹/₆ x + 4¹/₃ parallel line: y = 6x - 45Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = 6x - 7 ⇒ m₁=6
6×m₂ = -1 ⇒ m₂ = -¹/₆
The line y=-¹/₆ x+b passes through point (8, 3) so the equation:
3 = -¹/₆ ×8 + b must be true
3 = -⁴/₃ + b
b = 4¹/₃
Therefore equation in slope-intercept form:
y = -¹/₆ x + 4¹/₃
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6
The line y=6x+b passes through point (8, 3) so the equation:
3 = 6×8 + b must be true
3 = 48 + b
b = -45
Therefore equation in slope-intercept form:
y = 6x - 45
Kyle has 1/2 of a sheet cake. He cut it in 5 pieces of the same size. What fraction of a sheet cake is each piece?
Answer: 1/10
Step-by-step explanation:
Kyle had 1/2 of a sheet cake.
He then cut this half that he had into 5 pieces of the same size.
The fraction of the sheet cake he has therefore is:
= 1/2 ÷ 5
= 1/2 * 1/5
= 1/10
Each piece was 1/10 of the sheet cake.
please help:) thank youuuyy
9514 1404 393
Answer:
x = 8BF = 45Step-by-step explanation:
Using the given information, we have ...
BH = 2·HF
3x +6 = 2(2x -1)
3x +6 = 4x -2
8 = x
__
The length of the median is ...
BF = BH + HF
BF = (3x +6) +(2x -1) = 5x +5
BF = 5·8 +5
BF = 45
Find the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.
Answer:
3x - 2y = 19
Step-by-step explanation:
y = mx + b
The slopes of perpendicular lines are opposite reciprocals:
[tex]m_{1}[/tex] [tex]m_{2}[/tex] = - 1
~~~~~~~~~~~~
2x + 3y = - 5
y = - [tex]\frac{2}{3}[/tex] x - [tex]\frac{5}{3}[/tex]
(3 , - 5 )
Slope of perpendicular line is [tex]\frac{3}{2}[/tex]
y - ( - 5) = [tex]\frac{3}{2}[/tex] (x - 3)
y + 5 = [tex]\frac{3}{2}[/tex] x - [tex]\frac{9}{2}[/tex]
y = [tex]\frac{3}{2}[/tex] x - [tex]\frac{19}{2}[/tex]
3x - 2y = 19
can some one help me with this trigonometry problem?
CotA + cot(60+A)-cot(60-A)=3cot3A
how can i prove this ?
Step-by-step explanation:
Hope it will help you ❤❤
can someone help me with this asap!!
Answer:
the answer is c
Step-by-step explanation:
because the value of y is the same but the value of x has different sign
Evaluate the following expression.
Let y = 4
and z = 2
8y + 12 - 2z
20
Pls help doing a test
Answer:
40
Step-by-step explanation:
y = 4
z = 2
8y + 12 - 2z
8(4) + 12 - 2(2)
32 + 12 - 4
44 - 4
40
Answer:
40
Step-by-step explanation:
which digit 1,634,677 has value this is greater than 10 times the value of the fight digit to its right
Answer:
The ones digit or the First 7 to the left
Step-by-step explanation:
Since 10 times more
so ones place is 7
Tens place is 70
hunreds place is 600
thousands is 4000
ten thousands is 30,000
hundred thousands is 600,000
Million’s digit is 1,000,000
So since the only one with a 10 times difference is 7
So 7
Helpppppp helpppppp helpppppp
Answer:
pp poopoo
Step-by-step explanation:
Answer:
Which one do I do? Some of the picture is cut off.
Step-by-step explanation:
MARKING BRAINLIST Name the property of multiplication shown the equation (3 • x) • 8 = 3 • (x • 8).
Answer:
Assosiative because they are the same numbers with parenthesis.
Hope this helps!
selling price=3430 and discount percentage=2 Percentage
Answer:
Market price = 3,361.4 (Approx.)
Step-by-step explanation:
Given:
Selling price = 3,430
Discount percentage =2 %
Find:
Market price
Computation:
Market price = Selling price [1-2%]
Market price = 3,430 (1-2%)
Market price = 3,361.4 (Approx.)
Can you please help?
Answer:
what do you need help with
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
x = 6
Step-by-step explanation:
Here, we are to find the value of x
Applying the side splitter theorem, we have that;
10/30 = 2/x
Thus;
10 * x = 30 * 2
10x = 60
x = 60/10
x = 6
Sylvia earns $7 per hour at her afterschool job. One week she worked several hours and received a paycheck for $91. Write and solve an equation to find the number of hours in which Sylvia would earn $91.
6= 5r - 14
What are the steps you would use to solve the equation?
Enter an equation in standard form to model the linear situation.
A barrel of oil was filled at a constant rate of 6.2 gal/min. The barrel had 9 gallons before filling began.
Answer: 9 + 6.2x = y
Step-by-step explanation: x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
Answer:
k
Step-by-step explanation:
A math club receives a 12% discount on calculators. If each calculator costs $15 before the discount, how much will the club spend on 60 calculators after the discount?
A. $108
B. $180
C. $792
D. $900
Can someone help me please
9514 1404 393
Answer:
24x = y^2-15y = x^228y = x^2-4x = y^28x = y^2-20y = x^2Step-by-step explanation:
There are two cases here. In one case, the focus has a non-zero x-coordinate, so the parabola opens left or right (depending on the sign). In the other case, the focus has a non-zero y-coordinate, so the parabola opens up or down (depending on the sign).
We can write the equations for each of the two cases.
For focus (a, 0), the equation can be written ...
4ax = y^2
For focus (0, a), the equation can be written ...
4ay = x^2
__
24x = y^2 . . . . first form-15y = x^2 . . . . second form28y = x^2 . . . . second form-4x = y^2 . . . . first form8x = y^2 . . . . first form-20y = x^2 . . . . second formWhich expression is equivalent to 8(a-6)?
О 8a-48
O 2а
О 8а-6
O 48а
Answer:
The answer is A) 8a-48
Step-by-step explanation:
You want to buy a souvenir hat for $12.00. At the cash register, the sales clerk advises you that the total amount due, including tax, is $12.72. What is the sales tax (%) in this state?
Answer:
% English dictionary, words common to American and British
% spelling; must add one out of each of the pairs
% colour/color.dic
% labelled/labeled.dic
% centre/center.dic
% ize/ise.dic
% Extracted from US.dic and UK.dic, but with the 2 and 3 letter words
% of US.dic only.
% Patrick W. Daly 1998/05/19
% Update: 2000/03/02
% remove -yze and -yse words to yse.dic and yze.dic
% move advertise to here (is never advertize)
Step-by-step explanation:
Answer:
The sale tax in this state is 6%
Step-by-step explanation:
In order to find out the the sales tax we first have to create a fraction which has the difference between the price with taxes and without taxes, as its numerator, and the price without taxes as its denominator. So we do...
[tex]\frac{12.72-12.00}{12.00} = \frac{1272 - 1200}{1200} = \frac{72}{1200} = \frac{3}{50}[/tex]
Now we just have to find a fraction with the same value but with a denominator being 100. So in out case we do....
[tex]\frac{3}{50} = \frac{(3)(2)}{(50)(2)} = \frac{6}{100}[/tex]
Since we know that 1% is equal to [tex]\frac{1}{100}[/tex] we know that [tex]\frac{6}{100}[/tex] also means 6%. Therefore the answer is 6%
Point M is the midpoint of AB. The coordinates of point A are (-6, 2) and the coordinates of M are (-4, 2).
What are the coordinates of point B?
The coordinates of point B are
Answer:
B (-2, 2)
Step-by-step explanation:
The midpoint equation is:
[tex]x \frac{}{m} = \frac{x \frac{}{2} + x \frac{}{1} }{2} [/tex]
[tex]y \frac{}{m} = \frac{y \frac{}{2} + y \frac{}{1} }{2} [/tex]
Then:
[tex]x \frac{}{1} = 2x \frac{}{m} - x \frac{}{2} [/tex]
[tex]y \frac{}{1} = 2y \frac{}{m} - y\frac{}{2}[/tex]
[tex]x \frac{}{1} = 2( - 4) - ( - 6) \\x \frac{}{1} = - 8 + 6 \\ x \frac{}{1} = - 2[/tex]
[tex]y \frac{}{1} = 2(2) - 2 \\ y \frac{}{1} = 4 - 2 \\ y \frac{}{1} = 2[/tex]
The value of a bicycle was recorded over a period of five years. Based on how the plot of residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown?
Answer: The Fourth one
Step-by-step explanation: I took the test
How much is an X block worth in the image below?
Answer:
x = 2
Step-by-step explanation:
2x + 1 = 5
Step 1: Subtract +1 and 5 by -1
2x = 4
Step 2: Divide both 2x and 4 by 2
x = 2
An X block is worth 2 in the image.
the equation of line p is y= -7/8x + 3/2. line q is parallel to line p. what is the slope of line q?
Answer:
-7/8
Step-by-step explanation:
If two lines are parallel, they have the same slope. The slope of p is -7/8 (y=mx+b), so the slope of q is also -7/8.
Please help me!! If the area of square 1 is 250 units2, and the area of square 3 is 120 units2, what is the area of square 2? Explain your reasoning.
Answer:
130units²
Step-by-step explanation:
The question lacks the required figure. Find the figure attached:
Given
Area of square 1 = 250units²
Area of square 3 = 120units²
Area of a square = L²
L is the length of one side of the square
Get the length of each side of the square
For square 1
A1 = L1²
250 = L1²
L1 = √250
Get that of square 3
A3 = L3²
120 = L3²
L3 = √120
Required
Area of square 2
Before we can get the area of square 2, we need to get the side length using pythagoras theorem
L₂² = L₁² - L₃²
L₂² = (√250)²-(√120)²
L₂² = 250-120
L₂² = 130
Since the area of the square A is L₂² , then the required area is 130units²
....... Math practice
Solve the following compound inequality: 3<-2x-137.
a. -2
c. -1 <
b. -2>x2-4
d. -1 >x2-3
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS
STEP 1
3<-2x-137 equation
STEP 2
3<-2x-137 simplify by reversing equation
-2x-137>3
STEP 3
-2x-137>3 simplify
-2x>140
step 4
-2x>140 look for a number that can divide the two numbers like 2
-2x /-2 > 140 /-2
1>-70
answer
x>-70
Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140 g flour
5g butter
a
Simon makes 32 pancakes.
Work out how much milk he needs.
b)
Craig makes 20 pancakes.
Work out how much flour he needs.
GO
Answer:
A. 1,000 ml milk B. 3,500 g flour
Step-by-step explanation:
Divide: 250 divided by 8. You get 31.25.
Multiply: 31.25 times 32. You get 1,000
Divide: 140 divide by 8. You get 17.5
Multiply: 17.5 times 20. You get 3,500
Hope I helped!! :) Sorry if it's wrong! :(
Yo look at how shiny this fish tank is..... I have to use this as a reference for math.
Answer:
That is the shiniest fish tank I've ever seen!
what is the angle relationship?
Answer:
alternative angle is the correct answer
what is the distance between (-1, 2) and (3, 5)
Answer
the slope is 3/4 or .75
Answer:
The distance is 5 units.
Step-by-step explanation:
Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition
1) We are given 2 points --> (-1,2) and (3,5)
2) To find out the distance between both, we use distance formula.
This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].
3) For the points (-1,2) and (3,5):
-1 is x12 is y13 is x25 is y24) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]
5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]
6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]
7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.
Therefore, the distance between the 2 points is 5 units.
Hope you understood and have a nice day!! :D