Answer:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
Step-by-step explanation:
We have the two points: (4, -3) and (x, 2).
We know that the distance between them is √39.
To find our x-coordinate of the second point, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:
[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]
Solve for x. First, let's square both sides. This cancels out the square roots:
[tex]39=(x-4)^2+(2+3)^2[/tex]
Evaluate the second term on the right:
[tex]39=(x-4)^2+(5)^2[/tex]
Square:
[tex]39=(x-4)^2+25[/tex]
Subtract 25 from both sides:
[tex]14=(x-4)^2[/tex]
Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:
[tex]x-4=\pm\sqrt{14}[/tex]
Add 4 to both sides:
[tex]x=4\pm\sqrt{14}[/tex]
Therefore, there exists two possibilities for our second point. It can either be:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
And we're done!
Harold had a summer lemonade
stand where he sold small cups for
$1.25 each and large cups for $2.50
each. He made $265. If Harold sold
88 small cups, find the number of
large cups he sold.
The basketball team scored a total
Answer:
62 large cups were sold
Step-by-step explanation:
88*1.25=110
265-110=155
155/2.50=62
48 on shelves how many on 12 shelves
Answer:
Step-by-step explanation:
If there are 48 books on shelves
Then number of books in 12 shelves
= 48 ÷ 12 = 4 books
Answer:
576
Step-by-step explanation:
because 48 books on each shelves 48×12=576
ASAP! I will give branilest!
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No
pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40
2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No
number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.
c =
1.50 or 1.88
3A. Use the following variables to help in your equation:
Is A the answer or T
a is for pounds of apples
t is for number of toppings
Answer:
1 = No 2 = Yes 3 = 1.88
Step-by-step explanation:
Answer:
1. Yes 2. No 3. = 1.88 .
Step-by-step explanation:
1. Possibly yes, the first table represents a proportional relationship because cost per pound of apples is the same in each row, 1.88 dollars per pound.
2. Definitely no, the second table does not represent a proportional relationship because cost per topping is not the same in each row. (An equation is =1.50+8.99 but students do not need to provide an equation.)
3. An equation relating the cost to pounds of apples is = 1.88.
Please help me answer this
Answer:
a) 10:10 a.m.
b) 10:20 a.m.
c) 10:50 a.m.
d) math class is 60 minutes (1 hour) long
Step-by-step explanation:
f
[tex]f(x)2 - 5[/tex]
Mai ran 1/4 of the length of her road, which is 9 miles long. How long did Mai run?
Answer:2.25
Step-by-step explanation:
If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that,
Length of road = 9 miles
From the condition,
Mai ran 1/4 of the length of her road
Mai ran = 1/4 × length of her road
Mai ran = 1/4 × 9
Mai ran = 2.25 miles.
Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
Learn more about the arithmetic operation here:
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The body of 150lb person contains 2.3x10-4 lbs of copper. How much copper is contaned
Kristen is going to hire a makeup artist
(Look at the photo please will name Brainlyest)
please help i don’t understand, thanks! :)
Answer:
B
Step-by-step explanation:
My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well
can someone help me solve please.. thanks..
Answer:
see below
Step-by-step explanation:
f(0) means x=0
We use the f(x) when x<5
f(0) = 0+4 = 4
f(6) means x=6
We use the f(x) when 5≤x<7
f(6) =8
Miguel gave 5 items to the clerk at the store. Before taxes were added the total was 36.00. If each item was priced the same, what is the cost of one of the items?
Answer:
$7.20
Step-by-step explanation:
$36.00 for 5 items.
Divide $36.00 by 5 to find the price of 1 item.
$36/5 = $7.20
Can someone explain both of these ratios and answers to me?
Answer:
15 ( for Herimone) And 8 ( For Stranger Things)
Step-by-step explanation:
When Herimone uses 5 grams of Pearl Sheen she creates 30 fluid ounces of love potion. Last week she created 90 ounces which is 3 times larger than 30 ounces so you have to multiply 5 by 3 to figure out the amount of Pearl Sheen she used which is 15
For stranger things they Multiplied 3 by 2 so you have to multiply 1 by 2 to get 2. Then you have to add 6 and 2 to get 8 kids.
Hope This Helps!
We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.
Answer:
An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]
Step-by-step explanation:
We know that :
[tex]a_x=\frac{dv_x}{dt}[/tex]
Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]
So, We will use chain rule over here :
[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]
Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]
The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]
Chain rule:Here we used the chain rule:
It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).
So,
[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]
Learn more about time here: https://brainly.com/question/11325462
The formula = 21+ 2m is used when calculating:
a area of a rectangle
C area of a circle
b. perimeter of a rectangle
d circumference of a circle
A box measures 4 inches by 2 inches by 6 inches .Find the volume of the box in cubic centimeters
Answer:
121.92 cm cubed
Step-by-step explanation:
all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate
Answer:
1/36 cubic ft
Step-by-step explanation:
4 inches = 12/3 inches = 1/3 ft
2 inches = 12/6 inches = 1/6 ft
6 inches = 12/2 inches = 1/2 ft
drag numbers to write an equation for the line in slope intercept form number is may be used once more than once or not at all
Answer:
y = -4x + 5
Step-by-step explanation:
The equation for the line, in slope-intercept form will take the following equation format which is y = mx + b.
Where,
b = y-intercept = 5 (this is where the line intercepts the y-axis, and also, x = 0 here)
m = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use any two points on the line. Using (0, 5) and (1, 1), calculate m as follows:
m = [tex] \frac{1 - 5}{1 - 0} = \frac{-4}{1} = -4 [/tex]
Substitute m = -4, and b = 5 into y = mx + b.
y = -4x + 5
Answer:
Y=-4x+5
Step-by-step explanation:
2. What is the rule that relates values from a set of
values to a second set of values?
A. Function
C. Relation
B. Theorem
D. None of these
Answer:
Relation
Step-by-step explanation:
The rule that relates elements of one set to elements of another set is called "Relation". Functions are special types of Relations.
faud's model racing care drives an average speed of 3 feet per second. Fuad records the distance and times in a table. At this rate, how long will it take the car to travel 21 feet?
Answer:
well 3 × 7 = 21
Step-by-step explanation:
1. 0+3=3
2. 3+3=6
3. 6+3=9
4. 9+3=12
5. 12+3=15
6. 15+3=18
7. 18+3=21
So the answer is 7
A license plate is to have the following form: 4 letters followed by 4 numbers. How many different license plates can be made, assuming that letters and numbers can be reused?
The number of different license plates that can be made will be 260⁴.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A license plate is to have the following form: 4 letters followed by 4 numbers.
We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).
The number of different license plates that can be made will be
⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10
⇒ 26⁴ x 10⁴
⇒ (26 x 10)⁴
⇒ 260⁴
The number of different license plates that can be made will be 260⁴.
More about the permutation and the combination link is given below.
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Need help ASAP have 30 minutes
Answer:
7.25
Step-by-step explanation:
if you want to know what 1 box would be you would divide 14.50 by 2 to get 7.25 i’m sorry if i did this wrong
PLEASE I WILL MARK BRAINLIEST
Answer:
16 times
Step-by-step explanation:
i could give an explanation if needed
3. A change machine contains nickels, dimes, and
quarters. There are 75 coins in the machine, and the
value of the coins is $7.25. There are 5 times as
many nickels as dimes. How many quarters are in
the machine?
Equation #1:
Equation #2:
Equation #3:
# of quarters:
Answer:
50 nickels 10 dimes 15 quarters
Step-by-step explanation:
im pretty sure
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass Index in Children" (International Journal of Cardiology [2009]:1-7) described a study in which the left atrial size was measured for a large number of children age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.4 mm and a standard deviation of 4.2 mm.Approximately what proportion of healthy children has left atrial diameters less than 24 mm?Approximately what proportion of healthy children has left atrial diameters greater than 32 mm?Approximately what proportion of healthy children has left atrial diameters between 25 and 30 mm?For healthy children, what is the value for which only about 20% have a larger left atrial diameter?
Answer:
so you need the value for the 20% right ?
Step-by-step explanation:
I need some help? I don't understand math at all.
Answer:
I think its 4 but not 100% sure.
264-10=16+52
Add 10 to both sides
264=16+62
subtract 16 from both sides
248=62
Divide and i got 4.
what is the rule that describes this pattern of numbers -10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
Each number is one-tenth the number to its left.
Each number is 10 more than the number to its left.
Each number is 10 times the number to its left.
Each number is one-tenth the number to its right.
Answer:
Each number is one-tenth the number to its left.
Step-by-step explanation: -1,000 is one tenth of -10,000 for example
Joaquin made four times as many goals as daniel during soccer practice today. What is the ratio?
Answer:
4:1
Step-by-step explanation:
Let the no. of goals Daniel scored be x
Hence,
No. of goals Joaquin scored = 4 x
No. of goals Daniel scored = x
Hence,
The ratio of the no. of goals scored by Joaquin to the no. of goals scored by Daniel
[tex]=\frac{4x}{1x}[/tex]
[tex]=\frac{4}{1} \\=4:1[/tex]
PLEASE ANSWER REALLY QUICK PLEASE?!?!?!?!
Answer:
12x -11
Step-by-step explanation:
Lets start by applying the 2/3 to the two values in the parenthesis. Doing so will yield: 4x -7 +8x -4. We can simplify this to be 12x -11
A body is floating in seawater with 2/3 of its volume above the surface. The weight of the displaced water is?
Answer:
The weight of the displaced water is the weight of the body
Step-by-step explanation:
In situations like this, the volume of the displaced water is not important.
However, it should be noted that when a body is immersed (fully or partially) in a liquid, the weight of the displaced liquid is equal to the weight of the body immersed in the liquid.
Since the weight of the body is not given, I'll conclude that the displaced water has the same weight as the body floating on the water.
The number 80 is decreased to 73. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
8.75 as 80-73 gives 7 and 7/80x 100= 8.73 by which is the percentage it is decreased.
16. Mrs. Hunneycutt makes dog sweaters. Her profit each month is a function of the
price she charges for each sweater. Her total profits, y (in hundreds of dollars), based
on the sales price, x, can be modeled by the function y=-3x2 + 39x - 108.
Identify any zeros of the function, and interpret what the zeros mean in terms of the
situation
Answer:
The total profits will be zero at sales prices of $4 and $9
Step-by-step explanation:
∵ The function is y = -3x² + 39x - 108, where
y is the total profits of hundreds of dollars x is the sales priceThe zeroes of the function are the values of x at y = 0
→ To find the zeroes of the function above equate y by 0
∵ 0 = -3x² + 39x - 108
→ Switch the two sides
∴ -3x² + 39x - 108 = 0
→ Divide all terms by -3 to simplify the equation
∴ x² - 13x + 36 = 0
→ Let us factor the trinominal into two brackets
∵ The last term is +ve and the middle term is -ve
∴ The two brackets have (-) sign in the middle ⇒ (... - ...)(... - ...)
∵ x² = (x)(x)
∵ 36 = (4)(9)
∵ (4)(x) + (9)(x) = 4x + 9x = 13x ⇒ the value of the middel term
→ That means the factors of the trinomial are (x - 4) and (x - 9)
∴ x² - 13x + 36 = (x - 4)(x - 9)
→ Replace the trinomial by its factors
∴ (x - 4)(x - 9) = 0
→ Equate each bracket by 0 to find x
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∵ x - 9 = 0
→ Add 4 to both sides
∴ x = 9
∴ The zeroes of the functions are 4 and 9
∵ x represents the sales price in dollars
∴ The sales prices which make zero profit are $4 and $9
∴ The total profits will be zero at sales prices of $4 and $9