[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-9)}}} \implies \cfrac{-1 +4}{-5 +9} \implies \cfrac{ 3 }{ 4 }[/tex]
[tex]\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}{ \cfrac{ 3 }{ 4 }}(x-\stackrel{x_1}{(-9)}) \implies {\large \begin{array}{llll} y +4= \cfrac{ 3 }{ 4 } (x +9) \end{array}}[/tex]
Sonya wants to sew ribbon along each side of a square pillow. The expression 4 ⋅ 144−−−√ gives the exact amount of ribbon she will need for a pillow with an area of 144 square inches. How much ribbon, in inches, must Sonya buy to have the exact amount?
She buy 48 inches of ribbon to have the exact amount that she needs.
Given,
Area of the ribbon = 144 sq. inches
and, We know the formula for side of square is =[tex]\sqrt{Area of a square }[/tex]
Plug the value of area of square in above formula
Side of a Square = [tex]\sqrt{144}[/tex] = 12 inches
Now, we get the side of a square i.e., 12 inches
According to the question:
Sonya wants to sew ribbon along each side of a square pillow.
So, we need to find the perimeter of the square pillow.
and, Perimeter of a square is = 4 x side
=> Perimeter = 4 x 12 = 48 inches.
Therefore, She buy 48 inches of ribbon to have the exact amount that she needs.
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If the lower legs of the ironing board are equal in length, what is the measure of n?
Find the slope of the line that passes through the following points: (4,-2) and (-4,-4)
The value of of slope of is 1/4.
How to calculate the value of the slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.
Any two distinct places along the line can be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the "vertical change" to the "horizontal change" in each case. The difference between the line's y and x coordinate changes is known as the slope of the line. Net changes in the y and x coordinates are as follows: y = y and x = x.
m = [tex]y_{2} - y_{1} /x_{2} x_{1}[/tex]
m = 1/4
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Approximately 3 out of every 25 Amerloans live in California. About 3 out of every 50
Americane live in New York and about 2 out of every 25 Americans live in Texas.
Which state has the largest population?
10. Which state hos the smallest population?
11. About what percentage of Americans do nar live in Colifornia, New York, or Texas?
California is the most populated state, New York is the least populated, and 26% of Americans live in California, New York, and Texas.
Convert all statistics to percentages:
CA: 3 25 = 0.12 or 12%, 0.12 100 to calculate percentages.
NY: 3 50 = 0.06, or 6%, and 0.06 100 to get the percentage.
TX: 2 25 = 0.08 = 8%, 0.08 100 = percent
(A) California has the largest population of the three states.
(B) New York has the smallest population of the three states.
(C) USA = 100%, CA + NY + TX = 26%, so 74% of Americans do not live in these three states.
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x+4y+32
Terms:
Variable:
Constant:
Coefficients:
Answer:
Terms: x, 4y, 32
variables: x, y
constant: 32
coefficients: 4, 1
Step-by-step explanation:
Hope this helps!
Write an Algebraic proof for the following
To prove this, we need to show that 2 is equal to x.
Given:
2(x + 5) - 3x = 7x - 6
Distribute:
2x + 10 - 3x = 7x - 6
Combine like terms:
-1x + 10 = 7x - 6
Add 1x to both sides of the equation:
10 = 8x - 6
Add 6 to both sides of the equation:
16 = 8x
Divide both sides of the equation by 8:
2 = x
Reflexive property:
x = 2
✓
2(x + 5) - 3x = 7x - 6
x = 2
if 2x+y=7 and y=2x-5 what is the value of x. solve using substitution or elimination
The value of x is found as 3 using the method of substitution.
What is the method of substitution?The substitution method is a straightforward method for algebraically solving a system of linear equations and determining variable solutions. It entails determining the value of x-variable in aspects of y-variable using the first equation and afterwards substituting or fixing the value of x-variable with in second equation, as the name implies.For the given expression, use substitution method to solve.
2x + y = 7 ........eq 1
y = 2x - 5 ........eq 2
Substitute the value of y from eq 2 in eq 1.
2x + 2x - 5 = 7
Solving;
4x = 7 + 5
4x = 12
x = 3
Thus, the value of x is found as 3.
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Find the X and Y values.
The answer should be written as a coordinate point (x,y)
(reward 70 points)
Answer:
(x,y)=(10,11)
Step-by-step explanation:
Drew actually has almost finished the equation. So I'm starting with the left part
[tex]2.5x+ 6= 31[/tex]
Cancel out 6 from both sides and divide both sides 2.5 which leaves us with
[tex]x=\boxed{10}[/tex]
Plug in the value of x into the second equation and simplify
y=-2.10+ 31
[tex]y=\boxed{ 11}[/tex]
Find a point-slope form for the line that satisfies the stated conditions
Slope 4, passing through (- 2,1)
The equation of the line in point-slope form is ……
Answer:
y=4x+9
Step-by-step explanation:
y-Y1= m× x-X1
Y-1 = 4×X+2
y-1 = 4x+8
y=4x+9
Given f ( x ) = 1 x + 12 , find the average rate of change of f ( x ) on the interval [ 9 , 9 + h ] . your answer will be an expression involving h
Given,
f(x) = 1x + 12
expression to be in form of h
To find on the interval: [9, 9 + h]
∵ Average rate of change of f(x) on interval (a,b) is
A = f(b) - f(a) / b - a
⇒ f(9) = 1 x 9 + 12 = 21
⇒ f(9 + h) = 9 +h + 12 = 21 + h
⇒ f(b) - f(a) = 21 + h - 21 = h
⇒ (b-a) = 9 + h - 9 = h
∴ Average rate of change = h / h
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is x+y^2 linear?
sos this math hw is killing me rn
Answer:
Not linear
Step-by-step explanation:
Can be written into the form of [tex]y=mx+b\\[/tex].
There are 24 total customers seated at 4 tables in a restaurant Each table has the same number of customers. At that rate, what is the maximum number of costumers who could sit at 6 tables
Answer:
36
Step-by-step explanation:
24 customers dividend into 4 tables
so 24/4 = 6
then 6 customers can sit in 1 table
in case of 6 tables 6×6 =36
36 customers would sit in 6 tables
Please answer the two questions in the photo ( will mark brainliest if correct )
Answer:
2; 6
Step-by-step explanation:
for the first shape there are 2 lines of symmetry
TWO
for the hexagon or the regular polygon there are 6 lines of symmetry
SIX
you can find lines of symmetry by drying a line down and seeing if when you fold them they will be exactly the same
Find the value of x.
(3x + 3) (5x + 1)
Please help me:)
Answer:
x=22
Step-by-step explanation:
Since a straight line is equal to 180 degrees,
(3x+3)+(5x+1) = 180
(3x+3)+(5x+1)-180=0
8x+4-180=0
8x-176=0
8x=176
x=176/8
x=22
Which also means that the first angle is (3(22)+3)=69 degrees
the second angle is (5(22)+1) = 111 degrees
111 + 69 = 180
Help math
How am i suppose to do this ?
Answer:
16/5
Step-by-step explanation:
The direct variation equation (where k is the constant variation):
z = kw
First, we must solve for k:
k = w/z
Plug in -5 and 2:
k = 2/-5 = -2/5
Now plug k into the formula with 8 to solve for z:
z = -2/5 x 8 = 16/5
s=1/2pl+b solve for l
i need help with this Solve this equation.
13(y+7)=3(y−1)
Answer: y=-47/5
Step-by-step explanation:
Yw
9 Evaluate the expression 3[a(4bc)] for a = 2, b = 3, and c = 2.8.
8
7
୨)|୨)
Answer:
3(2(4)(3)(2.8))
3(24(2.8))
3(67.2)
2016
What is the equation in point-slope form of the line that passes through the point (3, −2) and has a slope of 23?
Drag and drop the appropriate number, symbol, or variable to each box.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The linear equation in point-slope form of a line with a slope of 23 and point (3,-2) is y = 23x - 71.
How to determine the equation of a line from a point and slope?The slope intercept formula is expressed as;
y = mx + b
Where m is the slope and b is the y-intercept.
Given the data in the question;
Slope m = 23Point: (3,-2)
x = 3y = -2Equation of line = ?First, use the the formula for the equation of line to determine the y-intercept 'b'.
y = mx + b
Plug in slope m = 23 and point (3,-2)
-2 = (23)3 + b
-2 = 69 + b
b = -2 - 69
b = -71
Now that we have both the slope m ( 23 ) and y-intercept b ( -71 ), plug these values into y = mx + b to find the linear equation.
y = mx + b
y = 23x + (-71)
y = 23x - 71
Therefore, the equation of the line is y = 23x - 71.
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write an equation of a parabola in the vertex form if a = -3 and the vertex is (-3,5)
Which expression has a value of 24?
PLS HELP ASAP
A –6 • 2 – (–7)–6 • 2 – (–7)
B 9 • 4 ÷ 2 + (–3)9 • 4 ÷ 2 + (–3)
C –9 + 3 – 6 • (–5)–9 + 3 – 6 • (–5)
D 9 ÷ 3 • 10 – (–1) + 3
Answer:
a) the answer it 10 so no
b) the answer is −39 so nah
c) the answer is 48, nope
d) the answer is 34, did you mean to write 34 instead of 24?
Step-by-step explanation:
Find the equation of the line shown.
Answer:
y = mx + b
y = 1/4x + 2
Step-by-step explanation:
m(slope) = rise/run = 1/4
b(y intercept) = 2
8+ 3x =1 + 7.9x can someone help me out?
[tex]8 + 3x = 1 + 7.9x \\ \\ \implies 3x - 7.9x = 1 - 8 \\ \\ \implies - 4.9x = - 7 \\ \\ \implies \: x = \frac { \cancel{- 7}}{ \cancel{ - 4.9} } \\ \\ \implies \: x = 1.43[/tex]
hope this helpschoti bachi hô kya itne simp question ka answer kon puchta hai xD
Simplify the following 4 + (-125)
Answer:
4 + (-125)
= 4 - 125
= -121
Please hep me solve picture below thank uou
Answer:
x= -1, -13
Step-by-step explanation:
Answer: x=-13 x=-1
Step-by-step explanation:
[tex]x^2+14x=-13\\x^2+2(x)(7)+7^2-7^2=-13\\(x^2+2(x)(7)+7^2)-49=-13\\(x+7)^2-49=-13\\(x+7)^2-49+49=-13+49\\(x+7)^2=36[/tex]
[tex](x+7)^2-36=36-36\\(x+7)^2-36=0\\(x+7)^2-6^2=0\\(x+7+6)(x+7-6)=0\\(x+13)(x+1)=0\\x+13=0\\x+13-13=0-13\\x=-13\\x+1=0\\x+1-1=0+(-1)\\x=-1[/tex]
Vicky makes 8 purses and 9 key rings to sell for charity.
The price of a purse will be twice as much as the price of a key ring.
Vicky wants to get a total of exactly £40 when she sells all the purses and all the key rings.
Work out the price Vicky needs to charge for each purse and for each key ring
Price of key ring = £1.6
Price of purse = £3.2
What is unitary method?The unitary approach is a strategy for problem-solving that involves first identifying the value of a single unit, then multiplying that value to figure out the required value.
Given Data
Vicky makes 8 purses and 9 key rings to sell for charity.
Vicky wants to get a total of exactly £40
Suppose the price of key ring be v
and the price of purses be 2v
£40 = £8(2v) + £9(v)
40 = 16v + 9v
40 = 25v
v = [tex]\frac{40}{25}[/tex]
v = 1.6
Price of key ring = £1.6
Price of purse = £3.2
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Point G is on line segment \overline{FH}
FH
. Given FH=4x+8,FH=4x+8, FG=x,FG=x, and GH=5x,GH=5x, determine the numerical length of \overline{GH}.
GH
.
The numerical length of GH = 20 units
FH is a line segment.
G is a point on the line segment.
Then G divides the line segment FH into two line segments FG and GH.
We are given the lengths of FH, FG and GH in terms of x.
That is, FH=4x+8, FG=x and GH=5x
We need to find the numerical length of the line segment GH. We first need to find the x for this.
As G cuts the line segment FH into two parts, the length of the line segment FH is the sum of the lengths of the line segments FG and GH.
That is, FH = FG + GH
⇒ 4x+8 = x +5x
⇒ 4x+8 = 6x
⇒ 2x = 8
⇒ x = 4
So the numerical length of GH = 5x = 5 x 4 = 20 units
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HELP PLEASE!!!
Which equation matches the graph of the greatest integer function given below?
Answer:
the answer you are looking for is D
Please help me with this maths question thanks!
Answer:
x = 2
Step-by-step explanation:
x + 3 + 1/2 x + 3 +x + 1 = 12 Combine like terms
21/2 x + 7 = 12 Subtract 7 from both sides of the equation
2 1/2 x = 5
Another name for 2 1/2 is [tex]\frac{5}{2}[/tex] ([tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{1}{2}[/tex])
[tex]\frac{5}{2}[/tex] x = 5 Multiply both sides of the equation by [tex]\frac{2}{5}[/tex]
[tex](\frac{2}{5})[/tex][tex](\frac{5}{2})[/tex]x = [tex]\frac{2}{5}[/tex][tex](\frac{5}{1})[/tex]
x = 2
Kristen goes on a cave tour with her family. They climb down to 8 meters below ground level.
Then they climb the opposite of –8 meters to return to ground level.
How many meters did they climb in all? Enter your answer in the box.
meters
The total distance climbed by Kristen and her family is 16 meters.
It is given in the question that Kirsten and family climb down to 8 meters below ground level. Then they climb the opposite of 8 meters to return to ground level.
We have to find the total distance climbed by Kristen and her family.
We know that,
Total distance climbed by Kristen and her family = Distance climbed down the cave + distance climbed up the cave to reach ground level
Hence, we can write that,
Total distance climbed by Kristen and her family = 8+8 = 16 meters.
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