Answer:
A & C
Step-by-step explanation:
2/3 divided by 3/4 simplified
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
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The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite
9514 1404 393
Answer:
one solution; (x, y) = (4/3, 11/3)
Step-by-step explanation:
The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.
__
The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.
Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.
a.
Which of the following equations correctly describes how to calculate net income?
net income = (cost of goods sold) - (net sales) - (operating expenses)
b. net income = (operating expenses) - (cost of goods sold) - (net sales)
net income = (operating expenses) + (cost of goods sold) - (net sales)
d. net income = (net sales) - (cost of goods sold) - (operating expenses)
C.
Please select the best answer from the choices provided
Ο Α
B
OD
Answer:
net income = (cost of goods sold) - (net sales) - (operating expenses)
Step-by-step explanation:
because income is based on sales, thus the cost of how much you got minus all the expenses must be the net income.
QUICK!!
fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Step-by-step explanation:
I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :
it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).
but in order to be a function, every input value must have exactly one resulting output value. which is violated here.
(7x)(2xy) how do I rewrite that as a sum
Solve: 4x − 9 = 39
help
Answer:
Group into like terms. divide both sides by the coefficient of xSTATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.
Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
Find the slope and y intercept of the line 3x+2y=-6
Answer:
Step-by-step explanation:
Slope - -3/2
y-intercept- (0,-3)
Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
Answer:
9. 31/2 or 15.5( I think that's the answer)
10. B
Step-by-step explanation:
What is the square root of -1?
Answer:
it's not possible i any ways
square root of negetive numbers is not possible
Step-by-step explanation:
hope it helps you
Answer:
Like all non-zero numbers, −1 has two square roots, which we call i and −i
so its i
Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair is 0-3).
Answer:
Step-by-step explanation:
x - 3y = 4
x - 3(-3) = 4
x + 9 = 4
x = -5
(-5, -3)
-11 - 3y = 4
- 3y = 15
y = -5
(-11, -5)
I don't see how (0, -3) could be a solution to the equation.
What are the terms in the expression 2d + 7 + 5f?
ASAP
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
2d, 7, and 5f i hope this helps
Answer:2d,7,and 5f
Step-by-step explanation:
A number that has more than two factors is a
Composite number? I’m not sure if that’s what you’re working on but it’s a true statement.
Trendy Teens Instructions Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately. Your work will not be submitted to your teacher until you click Submit. Documents Trendy Teens Worksheet File Upload Accepted file types: .ppt, .pptx, .xls, .xlsx, .doc, .docx, .zip, .pdf, .accdb, .msg
Given : Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%.
To Find : How much is Isaac’s total bill?
b) 25% discount off before tax
Solution:
one pair for $37.00
second pair for $42.00
Total Bill before taxes = 37 + 42 = 79 $
7 % Sale Tax = (7/100)79 = 5.53 $
Isaac’s total bill = 79 + 5.53 = 84.53 $
Total Bill before taxes = 37 + 42 = 79 $
Discount 25 % = (25/100)79 = 19.75$
Total Bill before taxes = 79 - 19.75 = 59.25 $
7 % Sale Tax = (7/100)59.25 =4.1475 $
Isaac’s total bill = 59.25 + 4.1475 = 63.3975 $
Please post Question one by one
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A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?
Answer:
260 Meters Below the Surface
Step-by-step explanation:
"Dove 450 meters" = - 450
"Climbed 270 meters" = +270
"Dove 80 meters more" = - 80
-450+270-80
-180-80
-180+(-80)
-260 or 260 Meters Below the Surface
How many intervals are there in the hisogram in figure 1.4?
Answer: 5 to 20 intervals.
Step-by-step explanation:
2/3 : 2/6 as a unit rate
Answer:
3/1
Step-by-step explanation:
Estimate the product 2.1 x 0.9
Answer:
2.0 estimated product
1.89 Actual product
Step-by-step explanation:
2.0*1.0=2.0
2.1*1.0=1.89
The product of 2.1 x 0.9 = 1.89
What is Product?A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Given:
2.1 x 0.9
Now, Multiplying
2 . 1
x 0 . 9
_________
1 8 9
0 0 x
__________
1 . 8 9
Hence, the product of 2.1 x 0.9 = 1.89
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what is the value of 17-2(5-3)
Answer:
13
Step-by-step explanation:
17-10+6
7+6=13
hope it helps
PLEASE HELP ME. HAVE TO BE DONE IN FRACTION
3/4 - 7/9 + 2/3 =
Answer:
23/36
Step-by-step explanation:
use BODMAS
fist add 3/4+2/3
to get 17/12
then subtract 17/12-7/9
to get 23/36
Select the situation that have a unit rate equivalent to 3 units to 1 unit
Answer:
A gardener harvested 15 tomatoes from 5 plants
- 5/2 divided by 5)7
Answer:
-7/2
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ - \frac{7}{2} }[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex] \dfrac{ - 5}{2} \div \dfrac{5}{7} [/tex][tex] \dfrac{ - 5}{2} \times \dfrac{7}{5} [/tex][tex] \dfrac{ - 1 \times 7}{2 \times 1} [/tex][tex] - \dfrac{7}{2} [/tex]A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.
Answer:
9 ft
Step-by-step explanation:
Atea = length* width
what two numbers multiply to 72 but are one number apart
9 * 8
9 is the length since the width is given as being shorter.
other numbers can multiply to 72 but they are not one number apart.
Answer:
9ft
Step-by-step explanation:
C: infinitely many solutions, help solve fast pls
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I
Answer:
8 vehicles
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
$2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle=
8 vehicles need to be sold by salesperson to get total earning as $4400.
Simplify (−4.5)(−6)(5.4).
i need the answer pls
Answer:
145.8
Step-by-step explanation:
−4.5 x −6 x 5.4
Answer:
the answer is 145.8
Step-by-step explanation:
sorry if I did it wrong
Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.
Answer: 192
Step-by-step explanation:
To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.
Answer:
192 in³
Step-by-step explanation:
The volume of a cube is represented by raising one side length to the 3rd power.
4 x 4 x 4 = 64
64 is the volume of the first box.
The second box is 3 times the value of the third box, so the equation for the third box is:
64 x 3 = 192
[tex]77 \times 5 \: equal \: what \\ [/tex]
what is the answer
Answer:
385 is the result of multiply 77 by 5
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answer:
[tex]x + y = 24[/tex]
[tex]x - y = 4[/tex]
Now, add these two equations.
You get,
[tex]2x = 28[/tex]
[tex]x = \frac{28}{2} [/tex]
[tex]x = 14[/tex]
Given,
[tex]x + y = 24[/tex]
[tex]14 + y = 24[/tex]
[tex]y = 24 - 14[/tex]
[tex]y = 10[/tex]
You can test this to the other equation as well.
[tex]x - y = 4[/tex]
[tex]14 - 10 = 4[/tex]
Hence, the two numbers are 14 and 10.