Answer:
[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]
Step-by-step explanation:
We can use slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So:
[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]
We are given that this equals 1/8. Therefore:
[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]
Solve for w. Cross-multiply:
[tex]-4(1)=8(4-w)[/tex]
Distribute:
[tex]-4=32-8w[/tex]
Isolate:
[tex]-8w=-36[/tex]
So:
[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]
Josh graphed the function f(x)=-3(x-1)^2 +2. He then graphed the function g(x)=-3(x-1)2 -5 on the same coordinate plane. The vertex of g(x) is
Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?[tex]\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }[/tex]
[tex]\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }[/tex]
[tex]\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }[/tex]
[tex]\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }[/tex]
[tex]\huge\underline{\sf{\red{Area\:of\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]
[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]
ฅ^•ﻌ•^ฅ
Fred is five times as old as Grace. In eight years time, Fred will be three times as old as Grace. What are their ages?
Step-by-step explanation: in the question it is given that, Fred is five times as old as Grace, it means that the present age of Fred is 5 times the age of Grace. in the solution we have assumed Grace age to be X years. if Grace age is X years then the age of Fred is five times that of Greece age that is 5x years. now it is given in the question that in 8 years of time Fred's age will be three times as old as Grace. as it is given in the question as 8 years then it means that we have to add 8 years to both the present age of grace as well as Fred's age. now if we'll add 8 years in both grace age and frads age then it will be X + 8 years and 5 x + 8 years respectively. now it is said that in 8 years of time Fred's age will be three times of grace age. now to make it equal we have to put that three times in Grace age, so that three times of grace age will be equal to Fred's age. then you simply need to solve the equation As given in the solution then we will get X equal to 8. we have got Grace present age to be 8 years and Fred's present age to be 40 years uhmmmmmmmmmmmmmm i hope this hepls you do your work :D
Answer pleaseeeeee !!!
Answer:
B. Leg-Acute (LA)
E. Angle-Angle-Side (AAS)
Step-by-step explanation:
Congruence is the relationship between two or more shapes with respect to their common properties.
Comparing the properties of triangles LMN and OPQ, it would be observed that two angles are similar and one side.
So that the congruence theorems or postulates required are:
B. Leg-Acute (LA)
E. Angle-Angle-Side (AAS)
what is the solution set of these system5x-2y=17 and 4x-7=13?
Answer:
x=5
y=4
Step-by-step explanation:
Step 1:
Let us solve for x using the [tex]4x-7=13[/tex] equation by isolating terms containing the variable:
[tex]4x-7=13\\4x=20\\\fbox{x=5}[/tex]
Great! x is 5... let's find y.
Step 2:
Since we know the value of x, we can use what we know to find y using the other equation:
[tex]5x-2y=17\\[/tex]
Given that x=5, we can replace x with 5.
[tex]5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}[/tex]
I hope this helps! Let me know if you have any questions :)
Please answer this correctly .
Answer:
Ummm We Know A triangle Degrees Is ( in total) 180*
SO If 30* is one side then it's 30* - 180 = 150 split that and you have 125 and 125 for the last 2 side hope it helps
平和
Need help on this question asap pleasee
Answer:
B
Step-by-step explanation:
9 divided by 4, then multiply by 12
Answer:
y = 2.25(12)
Step-by-step explanation:
$9 for 4 pizzas
$9/4 = $2.25
$9 for 4 pizzas is the same ratio as $2.25 per 1 pizza
To deliver x number of pizzas, the charge, y, is
y = 2.25x
For 12 pizzas, the delivery charge is
y = 2.25(12)
Help please will be marked as brainliest if correct.
Answer:
5
Step-by-step explanation:
Greater than 0
Less than 100
Is not 4, but is greater than four
Is less than 5.5
Must be a whole number
5 is the only whole number between 4 and 5.5
If Albert owns x model airplanes and Maxim owns x + 13 model airplanes, then Albert and Maxim own___ model airplanes together. Albert owns ___ less model airplanes than Maxim.
Answer:
2x + 13
13
Step-by-step explanation:
Albert and Maxim own
x + (x + 13) = 2x + 13 model airplanes together
Albert owns
(x + 13) - x = 13 less model airplanes than Maxim.
Answer:
They own 2x+13 model airplanes together
Albert owns 13 less model airplanes than Maxim
Use the following number line to determine if the expressions are true or false.
Answer:
[tex]{ \tt{a < b→true}} \\ { \bf{reason :because \: - 1 \: is \: less \: than \: 4.5 }}\\ \\ { \tt{ |a| > b →false}} \\ { \bf{reason :1 \: is \: not \: greater \: than \: 4.5 }}\\ \\ { \tt{a < |b| →true}}[/tex]
Answer:
true
false
true
Step-by-step explanation:
what is the solution to the system of equations?
2x-3y-z=-6,
4x-y-z=-2
-x+2y-2z=-9
Answer:
x=7/13, y=19/13, z=74/13
Step-by-step explanation:
Add or subtract multiples of equations to eliminate one variable. I picked z to eliminate.
Subtract the 1st equation from the 2nd equation.
2x + 2Y = 4 or x + y = 2 or y = -x + 2, then
Multiple the 2nd equation by 2 and subtract the 3rd equation.
9x - 4y = 5 then sub (-x + 2) for y from previous step.
9x - 4(-x +2) = 5
13x -2 = 5
13x = 7
x = 7/13
plug that into either of the step 1 equations to gey y.
y = -x + 2
y = -7/13 + 2
y = 19/13
then plug the found x and y into any one of the original equations to get z.
-x + 2y - 2z = -9
-7/13 + 2(19/13) - 2z = -9
31/13 - 2z = -9
-2z = -9 - 31/13
-2z = -117/13 - 31/13 = -148/13
z = 74/13
what is the proper seperation of factors for this equation ∛24n² × ∛36n²
Answer:
[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]
area of a parallelogram with a base of 7cm and a perpendicular height of 9 cm
Answer:
63
Step-by-step explanation:
A=bh=7·9=63
base times perpendicular height
Answer:
63
Step-by-step explanation:
7x9=63
you copied my answer on a different question.
and literally copied and pasted it and it's so obvious and i saw u change it
add 8/9 + 7/9 Simplify the answer and write as a mixed number.
Answer:
[tex]1\frac{6}{9}[/tex]
Step-by-step explanation:
[tex]\frac{8}{9}+\frac{7}{9}[/tex]
[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]
they have 46 row in a theater. there are 42 seats and 50 seats empty calculate how many person was watching the show.
Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
y variable, and what is the solution for this system?
x+3y= 42
2x - y = 14
OA. Multiply the second equation by-3. The solution is x= 12, y=9.
OB. Multiply the second equation by -2. The solution is x = 12, y=10.
OC. Multiply the second equation by 2. The solution is x = 15, y = 9.
OD. Multiply the second equation by 3. The solution is x = 12, y = 10.
Answer:
Multiply the second equation by 3. The solution is x = 12, y = 10.
Step-by-step explanation:
The given equations are :
x+3y= 42 ....(1)
2x - y = 14 ...(2)
For elimination method,
Multiply the second equation by 3.
6x-3y=42 .....(3)
Adding equations (1) and (3).
x+3y+6x-3y=42+42
7x = 84
x = 12
Put the value of x in equation (1).
12+3y= 42
3y = 30
y = 10
So, x = 12 and y = 10. Hence, the correct option is (d).
Help me !! Use the image to complete the equation below
m angle APD.
Hope It's help you.
Step-by-step explanation:
yeah angle m is APD so yeah
What are the mensure of 1 angle and 2 angle? Show ur work or explain
Answer:
angle 1 = 105º
angle 2 = 75º
Step-by-step explanation:
angle 2 = 75º
corresponding angle to the 75º angle
angle 1 = 105º
it's supplementary to angle 2
180 - 75 = 105
2/20 : 1/40 as a unit rate
Answer:
4 : 1
Step-by-step explanation:
To convert 2/20 : 1/40 to unit rate, we simplify the left side. So.
2/20 : 1/40 = 1/10 : 1/40
We now multiply both sides by 40.
So, 1/10 : 1/40 = 40 × 1/10 : 40 × 1/40 = 4 : 1
So, our unit rate is 4 : 1
what's the explicit formula for 5,10,15,20,25,30
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
factorize this equation . ײ-ײy²+×y
Answer:
x(x-x[tex]y^{2}[/tex]+y)
Step-by-step explanation:
5.
The cube root for three hundred and forty three is
Punca kuasa tiga bagi tiga ratus empat puluh tiga adalah
A. 343
B. 73
C. 3433
D. 7
D. 7
Hope this helps! :)
______________
Answer:
The cube root of 343 is 7.
The perimeter of the original rectangle is ______
The side length of the enlarged rectangle is ________
The perimeter of the enlarged rectangle is________
Answer:
perimter of original rectangle = 17. 6 mmside length of the enlarged rectangle = 23. 22 mmperimeter of the enlarged rectangle = 95. 04 mmStep-by-step explanation:
PERIMETER OF ORIGINAL RECTANGLE
Length of original rectangle = 4.5 mmWidth of original rectangle = 4.3 mmperimeter = 2 × ( length + width)
= 2 × ( 4.5 + 4.3)
= 2 × 8.8
= 17. 6 mm
SIDE LENGTH OF ENLARGED RECTANGLE
Width of original rectangle = 4. 5 mm Width of enlarged rectangle = 24.3 mmEnlargement factor = 24.3 / 4.5
= 5.4
Length of original rectangle = 4.5 mm Enlargement factor = 5.4Side length of enlarged rectangle
= original length × Enlargement factor
= 4.3 × 5.4
= 23. 22 mm
PERIMTER OF ENLARGED RECTANGLE
= 2 × ( enlarged ength + enlarged breadth)
= 2 × (23. 22 + 24. 3 )
= 95. 04 mm
Work out the value of
[tex]2 ^{3}x2 [/tex]
Answer:
Answer is 12
Step-by-step explanation:
ok 3x2=6 1ñ 2 12
ok 3
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
b) 6 x (5 + 4) 1) 32 - (14 - 6) X 3 35 - {15 - (19 + 5)=3} 1) 5 {13 + 12 + 3 (2 x 2)
Answer:
your answer is 1275
Step-by-step explanation:
ccifufbfjrorwfeejeidiffgfkxxocyegdo
What is the area of the yellow region?
Answer:
195 sq cm
Step-by-step explanation:
15 x 15 = 225
----------------------
3(8) + 2(3) = 30
----------------------
225 - 30 = 195 sq cm
please help this is urgent
Write each function in vertex form.
State the coordinate of the turning point (vertex).
f(x) = x2 + 18x + 93
y = 3x2 - 66x + 368
g(x) = x2 - 12x + 45
Can you please help me with 10 and 11?
Answer:
Step-by-step explanation:
In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS
Answer:
RS = 2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
RS² + RT² = TS² , that is
RS² + 6² = 8²
RS² + 36 = 64 ( subtract 36 from both sides )
RS² = 28 ( take the square root of both sides )
RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )