A(-4,-2) B(-2,-2) C(-2, 7) D(-4, 7)
|AB| = √((-2-(-4))^2 + (-2 - (-2))
= √((2)^2 + 0^2) √4
= 2 units
|BC| = √((-2 - (-2))^2 + (7 - (-2))^2
= √5^2 = √25
= 5units.
Let |AB| = The length of the rectangle.
|BC| = The Width of the rectangle.
Hence Area = |AB| × |BC|
Area = 2 × 5 = 10 square units.
A fruit stand sells apples, oranges, and bananas. The cost of 1 apple is $0.50, and the cost of 1
- Ronald bought 4 apples and 1 banana.
- Madison bought 2 oranges and 3 bananas.
- The total cost of the fruit Ronald bought was the same as the total cost of the fruit Madison
What is the cost of 1 banana at the fruit stand?
$0.20
B $0.40
C) $0.55
$0.80
Answer:
first we need to know what the other one cost you didnt finish the the cost of something
Step-by-step explanation:
This is impossible to solve because, you dont know the total amount spent by them.
) Alyssa has 36 books in her library. She bought several books at a yard sale over the weekend. She now has 62 books in her library. How many books did she buy at the yard sale ?
Answer:
26 Books
Step-by-step explanation:
26 + 36 = 62
Sorry I couldn't explan more, but I hope this helps!
This expression is in simplest form: 2y +4x
O True
O False
What’s the answer
Answer:
True
Step-by-step explanation:
Because, there are no like terms to be grouped together
Some one please help and find the domain and range. If your not sure about your answer don’t give the answer unless your 100% sure.
Answer:
Domain x=1 and range is 0≤f(x)≤3
Step-by-step explanation:
Domain corresponds to the value of x and range corresponds to the value of y
Here we see the graph exists at x=1 so the domain is x=1 or simply 1 and the range is a range of values from 0 to 3 so we write it in the way
0≤f(x)≤3
The half-life of radioactive strontium-90 is 29 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 6% of the original amount absorbed remains?
Answer:
117.7 years
Step-by-step explanation:
We have half life formula,
A=P[tex](0.5)^{\frac{t}{d} }[/tex]
Where ''t'' is number of years
d is half life period.
We know d=29
Where A=6% =0.06
P= 100%=1
Plug in the known values into the formula.
0.06= 1[tex](0.5)^{\frac{t}{29} }[/tex]
Divide both sides by 1.
It gives,
0.06=[tex](0.5)^{\frac{t}{29} }[/tex]
Take log on both sides
log 0.06= [tex]\frac{t}{29}[/tex] log(0.5)
Divide both sides by log 0.5
4.05889 = [tex]\frac{t}{29}[/tex]
Multiply both sides 29
t =117.7079....
Approximately t= 117.7 years.
Evaluate the expression shown for x = 9 -5/6x + 7
What are the closest 2 integers to 300
Answer:
17 and 18
Step-by-step explanation:
I'm pretty sure the two integers are 17 and 18
(let me know if I'm wrong)
I NEED HELP QUICKK!!
Answer:
bruh why do I get the feeling that you are in a test
Answer: x=52
Step-by-step explanation:
Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what should the next step be?
add 7
add 9
subtract 5x
Answer:
add 7
Step-by-step explanation:
Hope this helped <3
Answer:
add 7
Step-by-step explanation:
Solution : Expression Step 1 - Subtract x from both side, Step 2 - Add 7 both side, Step 3 - Solve, So, The best next step is ''add 7 both side''
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.
The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.
Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select TWO options.
A. For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.
B. For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.
C. The Hernandez family’s slices are smaller than the Wilson family’s slices.
D. If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.
E. The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
Answer:
option 3
Step-by-step explanation:no <3
Answer:
B and D are the correct answers I think, if I’m wrong let me know and tell me the two correct answers so that I can change it to the correct one, thanks!!!
Can someone please find the rate of change In this table ? PRETTY PLEASE
Answer:
+1
Step-by-step explanation:
Looking at the 7 side of the table, the numbers go up by +1 for every +5 x number
A rectangle is englared by 6 what is the area of the englared rectangle
Answer:
120 in
Step-by-step explanation:
A furniture store delivers for $40 plus $0.75 for every mile they have to travel from the store. Which function represents the cost for delivery, c(m), given the distance from the store, m, in miles, and how much does delivery cost for someone who lives 60 miles from the store?
Answer:
$85Step-by-step explanation:
le the total cost be y
and the number of miles be x
the expression for the total can be modelled linearly as
y=mx+c
given that
c=$40
m=$0.75
for x==60miles
we can substitute into the expression to solve for y we have
y=0.75(60)+40
y=45+40
y=85
The cost to deliver at a distance of 60miles is $85
jasmine paid $10 for 5/8 yard of fabric . She wants 4 yards of fabric, What is the price per yard?
Answer:
64
Step-by-step explanation:
10 divided by 5/8 is 16 so you take 4 and put it into a fraction then multiply it by 16. Which is 4/1 x 16 = 64.
Answer:
the answer to the first question is 16 and the answer to the second question is 64 c:
Step-by-step explanation:
i got it right on iready
Ms. Patel drove 165 miles in 3 hours. If she continues driving at the same speed, how many miles will Ms. Patel drive in 7 hours? *
Answer:
i think the answer is 385
Step-by-step explanation:
I'm only in seventh grade i might be wrong but if you divide 165 by three it's 55 so 55 x 7 is 385.
The number of dvds shipped to an online retailer was 35,000 less then the previous year.Use an integer to describe the change in the number of dvds shipped is
Answer:
-35,000
Step-by-step explanation:
Given that :
Let:
Number of previous year supply = x
Number of supply this year = x - 35,000
The change in the number supplied between for this year and previous year
this year supply - previous year supply
(x - 35,000) - x
x - 35000 - x
= - 35,000
Hence, integer which describes the change in the number of DVDs shipped is - 35,000
A construction company uses 12 pieces of plywood to make 3 sheds. The foreman will be making 6 sheds next week. He first finds the unit rate of how many pieces of plywood he uses per shed by dividing 3 by 12. Then, he multiplies the result by 6 to find how many pieces of plywood he needs for 6 sheds. What was the foreman's error?
Answer:
The foreman's error was he divided 3 by 12 = 3 ÷ 12
The correct step would be to divide 12 by 3 = (12÷ 3)
Step-by-step explanation:
The foreman's error was he divided 3 by 12 = 3 ÷ 12
A construction company uses 12 pieces of plywood to make 3 sheds. The foreman will be making 6 sheds next week.
Hence , the correct calculation is:
3 sheds = 12 pieces
1 shed = x
3 × x = 12 × 1
3x = 12
x = 12/3
x = 4 pieces
1 shed requires 4 pieces of plywood
The unit rate of how many pieces of plywood he uses per shed is 4 pieces per shed
Hence, the correct step would be to divide 12 by 3 = (12÷ 3)
The number of pieces required for 6 shed is 4 × 6 sheds
= 24 pieces of plywood
What is the slope of a line parallel to a line represented by y=4?
a) 4
b) 1/4
c) -4
d) undefined
e) 0
f) -1/4
Which value of x makes this equation true: 2x + 3 = x − 4 *
Step-by-step explanation:
[tex]2x + 3 = x - 4 \\ 2 x - x = - 4 - 3 \\ x = - 7[/tex]
Which multiplication expression is equal to 5/6 divided 1/2 ?
A: 6/5 times 1/2
B: 5/6 times 1/2
C: 6/5 times 2/1
D: 5/6 times 2/1
Answer:
D
Step-by-step explanation:
Another way to divide fractions is to multiply by the reciprocal, which is basically the fraction with the denominator put on top and the numerator put on the bottom.
The reciprocal of 1/2 is 2/1, so the correct answer choice is D
Hope this helps! Good luck :)
The multiplication expression that is equal to 5/6 ÷ 1/2 is 5/6 times 2/1, which simplifies to 5/3.
Thus, option (D) is correct.
Given: 5/6 ÷ 1/2
To find the reciprocal of 1/2, invert the fraction, which means switching the numerator and denominator:
Reciprocal of 1/2 = 2/1
Now, multiply the first fraction (5/6) by the reciprocal (2/1):
= (5/6) × (2/1)
Multiplying the numerators and denominators:
= (5 × 2) / (6 × 1)
= 10/6
To simplify the fraction, divide the numerator and denominator by their greatest common divisor (GCD):
GCD(10, 6) = 2
= (10/2) / (6/2)
= 5/3
Therefore, the equivalent multiplication expression is5/6 times 2/1.
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The function f is given in three equivalent forms.
PICTURE INCLUDED!
Answer:
Choice letter C most quickly reveals the y intercept; the y intercept is (0,8).
Step-by-step explanation:
The equations given are all different equations for the same parabola! The one that most quickly provides us with the y intercept is letter C!
Why? Well, letter C is in standard form aka the most basic quadratic formula :
[tex]ax^2+bx+c=0[/tex]
Ironically enough, variable c always states the y intercept in equations as such. Variable c, in this case - is 8. Which means the y intercept is 8!
Now, you'll notice that choice B also mentions + 8 in it's formula, this is true - but in this case it refers to one of the x intercepts (which is actually -8!)
Hope I was of assistance! #SpreadTheLove <3
The y-intercept for the equation is 8, and the equation reveals the intercept most quickly by option C.
What is the function?A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given a function in three equivalent forms,
to find the y-intercept,
the y-intercept is the point on the y-axis where the value of x is zero,
f(x) = -1/2(x + 3)² + 25/2
f(x) = -1/2(x - 2)(x + 8)
f(x) = -1/2x² - 3x + 8
to find the y-intercept easily the equation should be in form,
ax² + bx + c
where c is the y-intercept,
only 3rd equation is in the form of ax² + bx + c from where y-intercept can be found easily,
f(0) = 8
Hence y-intercept is 8 and with equation f(x) = -1/2x² - 3x + 8 we can calculate it quickly.
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Solve the Literal Equation for y. *
3x- 12y = 24
Answer:
x=8+4y
Step-by-step explanation:
A mountain climber at the top of the mountain 160 metres above ground level observes the angle of depression of the two cars parked on the road side at 60 degree (second car) and 30degree (first car) respectively. Find the distance : 1. from the base of the mountain to the first car, 2. from the base of the mountain to the second car and, 3. between the two cars.
Answer:
a. distance between the base of the mountain and the first car, d = 277 m
b. distance between the base of the mountain and the second car, s = 92 m
c. distance between the two cars = 185 m
Step-by-step explanation:
a. Since the angle of depression is 30°, the interior angle = (90 - 30)° = 60°
Let the distance between the base of the mountain and the first car be d, and height of the mountain = 160 m
tan 60° = d/160 m
d = tan 60° * 160 m
distance between the base of the mountain and the first car, d = 277 m
b. Since the angle of depression is 60°, the interior angle = (90 - 60)° = 30°
Let the distance between the base of the mountain and the second car be s, and height of the mountain = 160 m
tan 30° = s/160 m
s = tan 30° * 160 m
distance between the base of the mountain and the second car, s = 92 m
c. distance between the two cars = 277 - 92
distance between the two cars = 185 m
there is an error in the work shown below. Explain the error and provide a correct solution. plz explain what the person did wrong.
Answer:
X Does not Equal -5
Step-by-step explanation:
It Equals something like -5/2+i(something).
This is when referring to x(cubed) = 125
Further Explanation:
x=5,\:x=-\frac{5}{2}+i\frac{5\sqrt{3}}{2},\:x=-\frac{5}{2}-i\frac{5\sqrt{3}}{2}
unfortunate :/
Answer:
x cannot = -5
Step-by-step explanation:
Given the parallel lines, solve for x.
Pls help!!!!
100points gets mark brainlest
Answer:
x=9.
Step-by-step explanation:
the two angles together equal 180. so the equation would be 60+14x-6=180
Or you could simplify it to be 14x-6=120, which is 9
plz help me plz asap
Answer:
I think it is
A=12%
B=-58%
C=60.2
I am extremely sorry if im wrong
have a good day
−5/6e−2/3e=−24 HELP ME
Answer:
e = 16
Step-by-step explanation:
-5/6e + - 2/3e = -24 (Turn -2/3 into 6th)
-5/6e + -4/6 = -24 (Add -5/6e + -4/6e)
-9/6e = -24 (Divide -9/6 from both sides)
e = 16
Double check:
-5/6(16) + -2/3(16) = -24
-13 1/6 + -10 2/3 = -24
-24 = -24
The two tables below show the amount of tip, y, included on a bill charging x dollars. Restaurant A Restaurant B x y 5 10 20 30 v 1 2 3 50 75 Which compares the slopes of the lines created by the tables? 1 O The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A. The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A. The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
Answer: the correct Answer should be B
Step-by-step explanation:
The correct option is slope of the line for restaurant B is 2 times greater than the slope of the line for restaurant A.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given the values of x and y for restaurant A as,
x : 10 20 30
y : 1 2 3
Consider the point (10, 1) and (20, 2).
Slope of the linear relationship of x and y of restaurant A is,
Slope = (2 - 1) / (20 - 10)
= 1/10
Given the values of x and y for restaurant B as,
x : 25 50 75
y : 5 10 15
Consider the points (25, 5) and (50, 10).
Slope of the linear relationship of x and y of restaurant B is,
Slope = (10 - 5) / (50 - 25)
= 5 / 25
= 1/5
= 2 × 1/10
= 2 × Slope of line for restaurant A
Hence slope of the line for restaurant B is 2 times the slope of line for restaurant A.
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The complete question is as follows :
The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
12.
X Х
Which of the following could represent the integer -50.
a. deposit of $50.00
b. gain of 50 yards
c. 50 feet below sea level
d. withdrawal of $50.00
e. 50 feet above sea level
f. loss of 50 yards
Answer:
hello what exactly is the question
Solve for y: 3x - 5y 5-10x + 15
Answer:
3 x - 65
Step-by-step explanation:
3 x - 55 - 10
Calculate the difference
3 x - 65
