Answer:
[tex]\boxed {\boxed {\sf 9.8}}[/tex]
Step-by-step explanation:
We are asked to find the distance between two points. We will calculate the distance using the following formula;
[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points. We are given the points (4,0) and (0,9). If we match the value and the corresponding variable, we see that:
x₁= 4 y₁= 0 x₂= 0 y₂= 9Substitute the values into the formula.
[tex]{d= \sqrt {(0-4)^2+(9-0)^2[/tex]
Solve inside the parentheses.
(0-4)= -4 (9-0)= 9[tex]d=\sqrt{(-4)^2+ (9)^2[/tex]
Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.
(-4)²= -4*-4= 16 (9)²= 9*9= 81[tex]d= \sqrt{(16)+(81)[/tex]
Add.
[tex]d= \sqrt{97[/tex]
Take the square root of the number.
[tex]d=9.848857802[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 8 in the tenth place.
[tex]d\approx 9.8[/tex]
The distance between the two points (4,0) and (0,9) is approximately 9.8
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
VX
O(x, y) - (x + 5, y-3)
O(x,y) → (x + 5, y + 3)
(x, y) (x-3, y + 5)
O(x,y) → (X + 3, y + 5)
Answer:
Step-by-step explanation:
5 units up means y is crease by y =>
y+5
and x unit left means x is decreasedby 3
=> x-3
thus new coordinates are (x-3,y+5)
Thus (x,y) → (x − 3, y + 5) (x, y) is
correct
P.S. have a wonderful weekend!!
find the distance between pooler and savannah if there are 2 cm apart on a map with a scale of 1 cm 4.5 miles
Answer:
9 miles
Step-by-step explanation:
I have to ask here too: are you sure you have this description right ? because cm and miles are usually not used in combination.
but fine.
1 cm <-> 4.5 miles
2 cm <-> ? miles
remember questions like "if 1 apple costs $1.10, how much are 2 apples or 5 or 10 apples ?"
you remember what you had to do ?
pretty common sense : you multiplied the price by the same number that you multiplied the unit count number with. so, in my example, by 2, by 5 and by 10. and you got $2.20, $5.50 and $11.00 as prices.
so, what do you think we need to do to calculate the miles that are residents by 2 cm on the map ?
right ! we need to multiply by 2 - because 2×1 = 2.
so, 4.5 × 2 = 9 miles
yes, if 1 cm on the map stands for 4.5 actual miles, then 2 cm stand for 2×4.5 = 9 actual miles.
Christine is a software saleswoman. Her base salary is $2300, and she makes an additional $120 for every copy of History is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of coples of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 22 coples of History is Fun.
Answer:
please give me brilliant answer
Boundless Algebra
Quadratic Functions and Factoring
Graphs of Quadratic Functions
Parts of a Parabola
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
LEARNING OBJECTIVES
Describe the parts and features of parabolas
KEY TAKEAWAYS
Key Points
The graph of a quadratic function is a U-shaped curve called a parabola.
The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).
The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.
Key Terms
vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.
axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.
zeros: In a given function, the values of xx at which y=0y=0, also called roots.
Recall that a quadratic function has the form
f(x)=ax2+bx+cf(x)=ax2+bx+c.
where aa, bb, and cc are constants, and a≠0a≠0.
The graph of a quadratic function is a U-shaped curve called a parabola. This shape is shown below.

Parabola : The graph of a quadratic function is a parabola.
In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.

Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.
Features of Parabolas
Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.
Vertex
One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Axis of Symmetry
Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.
yy-intercept
The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.
xx-intercepts
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).

Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts
Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.
Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the
Snell Co. performs and completes services for a client in May and bills the client $1,000. In June, the client makes a partial payment of $300 cash for the services. In July, the remaining $700 cash is paid. Determine the monthly revenue recorded in May, June, and July for this service
The financial statement performed by Snell Corporation shows how the revenue recognition provides financial statement users(i.e. the client that uses Snell Co. service in May, June, and July) with relevant information regarding the services associated with revenue from customer contracts.
In the given case, the Snell Co. service charge was hiked in May since the entire service income must be accounted for in May. The amount owed from a client is seen as a current asset on the balance sheet, and once the amount is received from a client, it is removed off from the current asset. Thus it is added to the zero dollars ($0) company's cash balance. In this case, the cash collected in June and July is not recorded as revenue.
We can conclude that the monthly revenue recorded from Snell Co. performance and services for the client in May, June, and July for this service is as follows:
Months Revenue
May $1000
June 0
July 0
Learn more about revenue here:
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Revenue is only earned after the required obligation (goods delivered or service rendered) has been fulfilled. From the question, we noted that Snell Co. performs and completes services for a client in May hence the revenue was earned in May irrespective of when money was received for the service rendered.
As such revenue earned in;
May is $1,000
June is $0
July is $0
for the service rendered
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
Choose the equation that satisfies the data in the table.
-15 0 15
х
[
y
0
2
4
Answer:
B. y = [tex]\frac{2}{15} X + 2[/tex]
Step-by-step explanation:
I. Given x = 15 and y = 4
4 = [tex]\frac{2}{15}(15) + 2[/tex]
4 = 2+2
4 = 4 true
II. Give x = 0 and y = 2
2 = [tex]\frac{2}{15}(0) + 2[/tex]
2 = 0 + 2
2 = 2 true
III. Given x = -15 and y = 0
0 = [tex]\frac{2}{15}(-15) + 2[/tex]
0 = -2 + 2
0 = 0 true
Good luck.
pls help me , i need it done
Answer:0.50
Step-by-step explanation:
Range= Highest number - lowest number
=1.50 -1.00= 0.50
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
What is the cube of the cube root of 27?
Answer:
[tex] { \sqrt[3]{27} }^{3} \\ we \: can \: solve \: this \: in \: two \: ways \\ 1)cube \: root \: means \: power \frac{1}{3} \\ so \: { \sqrt[3]{27} }^{3} = { {27}^{ \frac{1}{3} } }^{3} = {27}^{ \frac{3}{3} } = 27 \\ 2) { \sqrt[3]{27} }^{3} \\ \sqrt[3]{27} = 3 \\ so \: {3}^{3} = 27 \\ thank \: you[/tex]
Help me pleaseeee help help
Answer:
Step-by-step explanation:
(-1,-6)(-1,-3)(-1,-2)(-4,-2)(-4,1)(-4,4) range
Answer:
range is the y part and domain is the x so the range is the y coordinates
-6,-3,-2,-2,1,4
Step-by-step explanation:
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answer:
Here is your answer . Hope this is helpful to you.
You’re help Is greatly appreciated!! I will mark BRAINLIEST as well
Answer:
1. -4/7
2. 4/3
3. x^2 + 16x + 63
4. x^2 + 19x + 90
Step-by-step explanation:
1. (1, 8) and (8, 4)
slope = m = (8 - 4)/(1 - 8) = -4/7
2. (2, 4) and (5, 8)
slope = m = (8 - 4)/(5 - 2) = 4/3
3. (x + 9)(x + 7) =
= x^2 + 7x + 9x + 63
= x^2 + 16x + 63
4. (x + 10)(x + 9) =
= x^2 + 9x + 10x + 90
= x^2 + 19x + 90
Please i need your help to solve this question. I will give the brainliest.
Step-by-step explanation:
The angle between vectors is given by
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}[/tex]
The magnitudes for the vectors are as follows:
[tex]|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}[/tex]
[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16[/tex]
[tex]|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}[/tex]
[tex]\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10[/tex]
The dot product between the vectors is
[tex]\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13[/tex]
Therefore, the angle between the two vectors is
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}[/tex]
or
[tex]\theta = 65.56°[/tex]
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
The following data points represent the number of police calls that were made last year in each of the cities in Hogdon County.
Sort the data from least to greatest.
363, 311, 276, 222, 253, 235, 244
Find the median number of calls.
??? calls
Help please :)
The median number of calls is 235.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given;
The data;363, 311, 276, 222, 253, 235, 244
Now to find the median arrangement will be
222,235,244,253,276,311,363
Therefore, the median will be 253
Learn more about mean and median;
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What exactly is Maths? And why do we die from maths? Please answer... This is a serious question though.
Answer:
it's because if you know maths you can go very far like being successful and have a chance for ur career or dreamMath is the the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering. You can D1E from math if its just too hard...
If X= 9 and Y = 3, what is XY
Answer:
[tex]x = 9 \\ y = 3 \\ xy = x \times y = 9 \times 3 \\ = 27[/tex]
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
probability question
1.) A six-sided number cube is rolled, and the spinner
below is spun. Determine the probability of rolling a 3 and
spinning blue. (B=blue, R=red) Express your answer as a
fraction, a decimal, and a %.
Answer:
Step-by-step explanation:
The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.
Your chances of rolling a 3 are 1 in 6 = 1/6
Your chance of getting blue is 1/2
Your chances are 1/2 * 1/6 = 1/12
As a decimal that is 0.0833333
As a % it is 8.3333 %
which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50
Answer:
1 as
3/5 × 2/2 = 6/10
Step-by-step explanation:
Hope it helps
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20What property is show in this problem? 11 x (4+5) = 11 x 4 + 11 x 5
You bought a total of 6 pens and pencils for $4. If each
pen costs $1 and each pencil costs $.50, how many
pens and pencils did you buy?
Answer: 2 pens and 4 pencils.
Step-by-step explanation:
If you buy 2 pens it is equal to $2.
If you buy 4 pencils it is also equal to $2.
2+2=4
and 2 pens and 4 pencils is equal to 6 in total.
Answer
[tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex] such that [tex]6[/tex] pens and pencils are bought for [tex]\$4[/tex] and each pen costs [tex]\$1[/tex] and each pencil costs [tex]\$0.50[/tex].
Linear EquationThe equation whose variables' highest power is one is known as linear equation.
To find the unknown quantities, always assume it to be a variable and then form the equation based on the conditions given in the question.
How to solve the linear equations?Let the number of pens bought be [tex]x[/tex].
and the number of pencils bought be [tex]y[/tex].
The total number of pens and pencils [tex]=6[/tex].
So, the first equation is,
[tex]x+y=6[/tex]
[tex]x=6-y[/tex] ... (i)
And the costs per pen and pencil is [tex]\$1[/tex] and [tex]\$0.50[/tex] respectively.
So, the second equation is,
[tex]x+0.5y=4[/tex] ... (ii)
Now, solve the pair of linear equations.
Put the value of [tex]x[/tex] in the equation (ii),
[tex]6-y+0.5y=4\\-0.5y=-2\\y=4[/tex]
So,
[tex]x=6-4\\x=2[/tex]
Thus, [tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex].
Learn more about linear equations here- https://brainly.com/question/11897796
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Area of the Shaded Region rectangle within reactanlge
Find the area of the shaded region with the following measurements:
Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
Please give this in steps
Answer:
(x - y)²
Step-by-step explanation:
Given
(x + y)² - 4xy
= x² + 2xy + y² - 4xy
= x² - 2xy + y²
= (x - y)²
Answer:
[tex] {(x + y)}^{2} - 4xy = {x}^{2} + 2xy + {y}^{2} - 4xy \\ = {x}^{2} - 2xy + {y}^{2} \\ = {(x - y)}^{2} \\ thank \: you[/tex]
how to answer tyhis question plz i need help quick
Find the total surface area of the pyramid with base length and height be 10 cm and 12 cm respectively.
Answer:
Hence, total surface area of the pyramid is 360 cm².
Step-by-step explanation:
We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:
L²=H²+(s/2)²=122+(10/2)²=122+5²
=144+25=169⇒
L=(169)^1/2=13
The perimeter of the base is P=4s, since it is a square, therefore,
P=4×10=40 cm
The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.
Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:
LSA=1/2Pl=1/2×40×13=260 cm²
Now, the area of the base B=s² with s=10 cm is:
B=s²=10²=100 cm²
The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.
Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:
TSA=1/2Pl+B=260+100=360 cm²
Hence, total surface area of the pyramid is 360 cm².
