[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10[/tex]
find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm
Step-by-step explanation:
width= x (let)
length= x+5
Area=50 cm
Now ,
area = l ×b
50 = (X×X+5)
50 = (2X + 5)
50÷ 2= X+5
25 -5 = X
X=20
LENGTH = X+5
20+5
=25
Using the digits 0 to 9
Supplementary Angles:
[tex]\boxed{100°} and \boxed{80°}[/tex]
Arithmetically speaking, the closest 2 supplementary angles can get (in 3 and 2 digits respectively) is the upwritten.
Complementary Angles:
[tex]\boxed{45°} and \boxed{45°}[/tex]
Simply, in this case, for angles to be numerically as close as possible - make both the angles 45°.
In which two of these numbers does the digit
6 have a value of 0.6?
16.7
61.28 14.63 28.16 96.77 85.62
Answer:
Step-by-step explanation:
In this numbers:
14.63
85.62
The two numbers where the digit 6 has a value of 0.6 are 14.63 and 85.62.
To determine in which two numbers the digit 6 has a value of 0.6, we need to examine the place value of 6 in each number.
Let's go through each number:
1. 16.7: The digit 6 is in the tens place, so its value is 6 * 10 = 60 (not 0.6).
2. 61.28: The digit 6 is in the ones place, so its value is 6 (not 0.6).
3. 14.63: The digit 6 is in the tenths place, so its value is 6 * 0.1 = 0.6.
4. 28.16: The digit 6 is in the hundredths place, so its value is 6 * 0.01 = 0.06.
5. 96.77: The digit 6 is in the tens place, so its value is 6 * 10 = 60 (not 0.6).
6. 85.62: The digit 6 is in the tenths place, so its value is 6 * 0.1 = 0.6.
The two numbers where the digit 6 has a value of 0.6 are 14.63 and 85.62.
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You are building a brick patio. the length of the patio is (x+11) feet.
the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio
The expression that represents the width of the patio is (x+3) feet
Calculating areaFrom the question, we are to determine the width of the patio
The area of the patio = Length of the patio × Width of the patio
From the given information,
Length of the patio = (x+11) feet
Area of the patio = x^2+14x+33 = x²+14x+33
Putting the parameters into the formula,
x²+14x+33 = (x+11) × Width of the patio
∴ Width of the patio = (x²+14x+33) / (x+11)
First, we will factor x²+14x+33
x²+14x+33
x²+11x+3x+33
x(x+11) +3(x+11)
(x+3)(x+11)
Thus,
Width of the patio = [(x+3)(x+11)] / (x+11)
∴ Width of the patio = (x+3) feet
Hence, the expression that represents the width of the patio is (x+3) feet
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Please help me thank you :3
Quadrilaterals are angles that has 4 sides and angles. The measure of the angle m<SPQ is 110 degrees
Angles in a quadrilateralQuadrilaterals are angles that has 4 sides and angles. The given quadrilateral is a rhombus with equal opposite sides.
Given the following angles
m<SPR = 2x + 15
m<QPR = 3x - 5
From the figure
m<SPR = m<QPR
Substitute
2x+ 15 = 3x - 5
2x - 3x = -5 - 15
x = 20
Determine the measure of <SPQ
m<SPQ = 3x - 5 +2x +15
m<SPQ = 5x + 10
m<SPQ =5(20) + 10
m<SPQ = 110 degrees
Hence the measure of the angle m<SPQ is 110 degrees
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What is the diameter of a hemisphere with a volume of 458 ft³, to the nearest tenth
of a foot?
Answer:
12.0 ft
Step-by-step explanation:
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
the answer is 40
Step-by-step explanation:
A = 10 x 8 over 2 which is 40
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
0 points
Three points must be removed from this graph so that it will be a function
How to determine the number of points?The points are given as:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2).
For a set of point to represent a function;
Each x coordinate must point to only one y coordinate
From the given points, we have the following highlights:
The x value -3 has two y values (2 and 3)The x value 1 has two y values (4 and -4)The x value 2 has two y values (-4 and -2)In the above highlights, one point each must be removed.
This means we have a total of 3 points
Hence, three points must be removed from this graph so that it will be a function
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Answer:
C. 3 points
Step-by-step explanation:
there are 6 members of a board of supervisors for a park district they need to form a subcommittee of 3 people to study expanding a park how many different committees could be formed from the members
What is the correct way to write 0.000000056
meter in scientific notation?
Answer:
[tex]5.6 \times 10^{-8}~ m[/tex]
Step-by-step explanation:
[tex]0.000000056\\\\=\dfrac{56}{1000000000}\\\\\\=\dfrac{56}{10^9}\\\\\\=56 \times 10^{-9}\\\\\\=56 \times 10^{-1} \times 10^{-8}\\\\\\=5.6 \times 10^{-8}~[/tex]
A membership at a yoga studio costs $35 per month.
Write an equation for the cost of the membership,that you pay if you keep your membership for months.
Answer:
35×(m)=c
Step-by-step explanation:
m=months
c=cost
given lim x→0 f(x)=4. what is lim x→0 1/4 [f(x)]^4?
Given that
[tex]\displaystyle \lim_{x\to0} f(x) = 4[/tex]
we can use the properties of limits to show
[tex]\displaystyle \lim_{x\to0} \frac14 f(x)^4 = \frac14 \lim_{x\to0} f(x)^4 = \frac14 \left(\lim_{x\to0} f(x)\right)^4 = \frac14 \times 4^4 = 4^3 = \boxed{64}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow \lim_{x\to 0}\dfrac{1}{4}f(x)^4[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\lim_{x\to 0}f(x)^4[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\times 4^4[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{256}{4}[/tex]
[tex]\\ \rm\Rrightarrow 64[/tex]
Mr. Addison is building a sandbox shaped like a rectangular prism. The sandbox is 9ft long, 5ft wide, and 2.5 ft deep. How many cubic ft of sand will the sandbox hold?
it rained on 3/7 of days write the rof the days it rained to number of days
The ratio of the days it rained to number of days is 3 : 7
How to determine the ratio?The proportion of the number of days it rained is given as:
Proportion = 3/7
This means that:
Proportion = Days it rained/Total number of days.
So, we have:
Days it rained/Total number of days = 3/7
Express as ratio
Days it rained : Total number of days = 3 : 7
Hence, the ratio is 3 : 7
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which 2 numbers have a mean of 10 and a range of 12
Answer:
Step-by-step explanation:
16 - 4 = 12
16 + 4 = 20
then 20 ; 2 = 10
Half of 12 is 6, therefore the two numbers 10 - 6 = 4 and 10 + 6 = 16 will have a mean of 10 and a range of 12.
What is the scale factor for XYZ TO UVW?
Answer:
D. 2
Step-by-step explanation:
If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.
what is the equation of the line that contains point (2, -6) and has a slope of -2
y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10
Answer:
y=-2x+10
Step-by-step explanation:
i graphed it i graphed all of them
Answer:
y-2x-2
Step-by-step explanation:
The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.
We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].
Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]
Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]
Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]
Hope this helps! :)
In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.
The measure of ∠P to the nearest 10th of a degree is 84.8°
Law of CosinesFrom the question, we are to determine the measure of ∠P
From the law of cosines, we can write that
[tex]cos \ P=\frac{o^{2}+q^{2}-p^{2} }{2oq}[/tex]
From the given information,
o = 500 cm
p = 600 cm
q = 380 cm
Putting the parameters into the formula, we get
[tex]cos \ P=\frac{500^{2}+380^{2}-600^{2} }{2\times 500 \times 380}[/tex]
[tex]cos \ P =\frac{34400}{380000}[/tex]
[tex]cos \ P =0.0905[/tex]
P = cos⁻¹(0.0905)
P = 84.8076
P ≅ 84.8°
Hence, the measure of ∠P to the nearest 10th of a degree is 84.8°
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A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
slant height of the pyramid is 93.2 in. What is the height of the pyramid?
The height of the pyramid is aboutin.
(Round to one decimal place as needed.)
The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
We have a square pyramid.
Length of the pyramid = 23.4 in
The slant height of the pyramid = 93.2 in
From the figure:
Base length CB = DC = 23.4 in
In a right-angled triangle, BCD
Applying Pythagoras theorem:
DC² + CB² = DB²
23.4² + 23.4² = DB²
DB = 33.092 in
OB = (1/2)DB
OB = (1/2)33.092 = 16.546 in
In the right-angle triangle AOB, again applying Pythagoras theorem:
AO² + OB² = AB²
h² + 16.546² = 93.2²
AO = h (height of the square pyramid)
AB = slant height = 93.2 in
After calculating, we get:
h = 91.719 ≈ 91.72 in
Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.
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Write an equation for the line through the point (1,3) parallel to
the line y =
1/2x + 10.
Answer:
y=1/2x+5/2
Step-by-step explanation:
The slope will not change if the line is parallel.
So start with 1/2x and plug in 1.
You will get 1/2 and you need to get a total of 6/2 to get a y of 3.
since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.
What is the measure of angle B in the figure below?
A
3
B
D
3√√2
C
O 30°
O 45°
O 60°
O 90°
How many grams are there in 28 kilograms
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Explain.
Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Explain.
For both problems, we can use the section formula.
1) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]
2) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]
The box plot below represents some data set. What is the interquartile range (IQR) of the data?
You and your family are going on a
family cruise this summer! WOO HOO!
Your parents had to put down a $250
deposit. Then, the cruise costs $500
per person on top of that. There are 5
people in your family. How much will
the entire cruise cost? Okay
Graph the equations to find the solution(s) to the system.
y=x+3y=13(x+5)(x−1)
Use the Line tool to graph the line.
Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)
How to solve the system of equations?Here we have the system of equations:
y = x + 3
y = 13*(x + 5)*(x - 1).
To solve this system graphically, we need to graph both equations and see where the curves intercept.
The graph of the two equations can be seen below.
There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)
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Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer + Step-by-step explanation:
GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.
Given:
Charles has $50.00 (total)Charles spent 1 / 4 on a gift card (spent means subtract from total)Charles spent 5 / 8 on a new wallet (spent means subtract from total)Required:
The question asks: “How much money is leftover?” From this we know we have to find the leftover amount. Find: x = ?Analysis:
50 (total) = x + 1/4 + 5/8 than solve for x
how much money leftover (x)
= total - spent on gif card - spent on new wallet
x = 50 - 1 / 4 - 5 / 8
Solution:
x = 50 - 1/4 - 5/8
1/4 of 50 is 50 / 4 = 12.5x = 50 - 12.5 - 5/8
5/8 of 50 is 50/8 = 6.25 this is 1/8 of the pricethan multiply by 5 to get 5/8, 6.25 x 5 = 31.25x = 50 - 12.5 - 31.25
x = 6.25
Statement:
We found that the leftover amount is $6.25.
Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.
please help me im just really slow
53, 13, 34, 41, 26,61, 34, 13,69 mean median mode and range
Answer:
mean 38.22
median 34
mode 13 & 34
range 56
Step-by-step explanation:
mean- add all values together and divide by number of values
median- order from least to greatest find the middle value
mode- the value that appears most often, can be more than one value
range- smallest value subtracted from the largest
Select the correct answer from each drop-down menu.
veronica wants to cut a sheet of paper into squares with an area of 12 square inches. for the best approximation, the length of each side o
the square pieces of paper must be approximately equal to
inches. if each side were exactly this length, the area of each square
would be _____
square inches
Answer:3.46
Step-by-step explanation:i dont know the other one