Step-by-step explanation:
The vertex form of a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as
[tex]y = a(x - 3)^2 + 3[/tex]
We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:
[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]
or
[tex]a = -4[/tex]
Therefore, the vertex form of the equation for the parabola is
[tex]y = -4(x - 3)^2 + 3[/tex]
o differences between constructing an inscribed regular hexagon and constructing an inscribed square.
Answer:
a daddy
Step-by-step explanation:
if 40 workers can complete a piece of work in 15 days how many workers should be employed to complete the same work in 3 days
Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle
Answer:
b
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
a. Triangle G and Triangle F Response area
b. Triangle G and Triangle B Response area
c. Triangle B and Triangle F Response area
d. Triangle F and Triangle H Response area
e. Triangle G and Triangle H Response area
f. Triangle H and Triangle B Response area
Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
The ratio of the areas is the square of the ratio of the lengths of the sides.
Let's find the ratio of areas one by one:
A. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
Side in F= 10
Corresponding side in G= 5
The ratio of lengths of F to G = 10/5 = 2
The ratio of areas of G to F= (2)^2 = 4
B. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
Side in G= 5
Corresponding side in B= 5/2
The ratio of lengths of B to G = (5/2)/5 = 1/2
The ratio of areas of B to G: (1/2)^2 = 1/4
C. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
Side in B= 5/2
Corresponding side in F= 10
The ratio of lengths of F to B = 10/(5/2) = 4
The ratio of areas of F to B: (4)^2 = 16
D. Triangles F and H
Select a side in triangle F and the corresponding side in triangle H:
Side in F= 10
Corresponding side in H= 10/3
The ratio of lengths of H to F = (10/3)/10 = 1/3
The ratio of areas of H to F: (1/3)^2 = 1/9
E. Triangles G and H
Select a side in triangle G and the corresponding side in triangle H:
Side in G= 5
Corresponding side in H=10/3
The ratio of lengths of H to G = (10/3)/5 = 2/3
The ratio of areas of H to G: (2/3)^2 = 4/9
F. Triangles H and B
Select a side in triangle H and the corresponding side in triangle B:
Side in H=10/3
Corresponding side in B= 5/2
The ratio of lengths of B to H = (5/2)/(10/3) = 3/4
The ratio of areas of H to G: (3/4)^2 = 9/16
The final answers are:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
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Write a rule to describe each transformation. Part 5
Answer:
(x, y) → (x + 3, y + 6)Step-by-step explanation:
This is a translation up and right.
Compare the coordinates of corresponding points:
X(-5, -3) and X'(-2, 3)The difference of coordinates:
-2 - (-5) = 33 - (-3) = 6The rule:
(x, y) → (x + 3, y + 6)It is the ordinate of the coordinates of the point in which the graph intersects the y – axis.
D. origin
B. x-intercept
C. y -- intercept
A. Slope
Answer:
C. y--intercept
because it is y axis so cant write x--intercept
What is an expression of -3/4
4. 3/16. × 7 12/32.
Answer:
1 49/128
Step-by-step explanation:
3/16. × 7 12/32
3/16 * 236/32
177/128
1 49/128
Use the Distributive Property to simplify the expression. (8⋅7)+(8⋅5)
Answer:
56 + 40
Step-by-step explanation:
multiply what is in the parenthesis, don't solve all the way because the instructions say to simplify.
5. Mohammed is shopping for gifts. He compared prices at two stores so he could get
the best deals. Which store is cheapest per unit for greeting cards ?
Gift Prices
Gift
handkerchiefs
greeting cards
ballpoint pens
audiocassette tapes
Darren's Warehouse
package of 10 for $11.00
package of 8 for $9.99
one dozen for $9.60
one dozen for $13.20
U-Rule Department Store
package of 3 for $3.75
package of 3 for $5.49
2 for $1.59
5-pack for $5.95
A Darren’s Warehouse
B U-Rule Department Store
Answer:
Thus, it is cheaper at Darren’s Warehouse.
Step-by-step explanation:
Package of 8 at Darren’s Warehouse for $9.99
Package of 1 at Darren’s Warehouse for $9.99/8=$1.24875
Package of 3 at U-Rule Department Store for $5.49
Package of 1 at U-Rule Department Store for $5.49/3=$1.83
Thus, it is cheaper at Darren’s Warehouse.
134.$
ga tau gw di sini uang ya Rp bukan dolar ya kecuali solar atau dolar kuning
Wich of the following powers is the smallest will give you brainleist
Answer:
C
Step-by-step explanation:
4^3= 64
3^4= 81
5^4= 625
6^3= 216
PLEASE HELPPP YOU HAVE TO CHOOSE ABOUT 3 ANSWERS!!
Answer:
C, D, G
Step-by-step explanation:
The Jeans dried due to a process called vaporization where water evaporates into the atmosphere into a steam like form, however this answer wasn't available so C, D, G would be your best bet.
Answer:
c , d , g ,
bcaz this three options r for sure correct
PLEASE HELP MEEE!!!!!
Answer:
what
Step-by-step explanation:
why would you even need to know this
Factor 10xy-25x-16y+40=
(2y−5)(5x−8)
step by step Explanation:
10xy−25x−16y+40
10xy−25x−16y+40
=(2y−5)(5x−8)
hope it helps
In a fishing derby, jimmy caught six more fish than his sister kelly. How many fish did each person catch if they caught a total of 20 fish?
0.3 divided by 6 =
Please help me show my work
Answer:
0.05
Step-by-step explanation: (this is suppose to be long Division and thats a line between 6 and 0).
0. 0 5
----------------------
6 | 0. 3 0
− 0
----------
0 3
− 0
--------------------------------
3 0
− 3 0
----------------------------------
0
whats 4(-2-9.2x)=3(2-7.6x) solve for x
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]Step 2: Add 22.8x to both sides.
[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]Step 3: Add 8 to both sides.
[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]Step 4: Divide both sides by -14.
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]Therefore, x = -1.
The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.
What is the solution to the equation?Given the equation in the question:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
4 × -2 + 4 × -9.2x = 3( 2 - 7.6x )
-8 - 36.8x = 3( 2 - 7.6x )
-8 - 36.8x = 3 × 2 + 3 × -7.6x
-8 - 36.8x = 6 - 22.8x
Collect like terms:
-8 = 6 - 22.8x + 36.8x
-8 - 6 = - 22.8x + 36.8x
Add like terms:
-14 = 14x
14x = -14
Divide both sides by 14:
x = -14/14
x = -1
Therefore, the value of x is -1.
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Convert numbers 359 to binary
Expand 359 as a sum of the largest powers of 2 that you can:
359 = 256 + 103
359 = 256 + 64 + 39
359 = 256 + 64 + 32 + 7
359 = 256 + 64 + 32 + 4 + 3
359 = 256 + 64 + 32 + 4 + 2 + 1
359 = 2⁸ + 2⁶ + 2⁵ + 2² + 2¹ + 2⁰
359 = 1 0110 0111₂
What would be the all step you would take to solve the equation 2x + 1 = 10 - x?
Answer:
3
Step-by-step explanation:
Move the terms : 2x + 1 =10 -x
Collect like terms
Calculate : 2x + x=10-1
Divide both sides
3x = 9
x = 3
There was 5/8 of a pie in the fridge. Daniel ate 1/4 leftover. How much of a pie did he have
Answer:
Therefore, 15 / 32 of the pie is left in the fridge.
one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation
Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
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To make an international telephone call, you need a the code the country you are calling. The codes for the country A, country B, and C are three consecutive integers whose sum is 90 find the code for each county
Answer:
Let:
x = code for country A
This is important: "the codes are three consecutive integers" That means,
x is code for country A
(x+1) is code for country B
(x+2) is code for country C
whose sum is 81" means
x + (x+1) + (x+2) = 90
3x+3=90
=3x=90-3
=3x=87
=x=87/3
=x=29
So, the codes are=29,30,31
To check 29+30+31=90
find the values of x,y if (x+y,x-y) = (5,3)
The values are :
x = 4y = 1solution is in attachment !
Solve for x:
11) 2(x + 4) = 18
Answer:
x = 5
Step-by-step explanation:
2 (x + 4) = 18
x + 4 = 9
x = 5
Answer:
x=5
Step-by-step explanation:
2(x + 4) = 18
Divide each side by 2
2/2(x + 4) = 18/2
x+4 = 9
Subtract 4 from each side
x+4-4 = 9-4
x=5
Evaluate.
(jk−1) ÷j when j=−4 and k=−0.8
Enter your answer as a decimal in the box.
Step-by-step explanation:
(jk−1) ÷j
[(-4)(-0.8) -1] ÷ (-4)
=[ 3.2 -1] ÷ (-4)
=2.2 ÷ (-4)
= -0.55
The solution of the expression "[tex]\frac{jk-1}{j}[/tex]" is "-0.55".
The given values are:
j = -4k = -0.8→ [tex]\frac{jk-1}{j}[/tex]
By putting the value of "j" and "k" in the given expression, we get
→ [tex]\frac{(-4)(-0.8)-1}{-4}[/tex]
By solving the brackets, we get
→ [tex]\frac{3.2-1}{-4}[/tex]
→ [tex]\frac{2.2}{-4}[/tex]
→ [tex]-0.55[/tex]
Thus the above response is correct.
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PLEASE HELP ME
(Part 1) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit. Circle your answer
(Part 2) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1. Circle your answer.
Answer:
48
Step-by-step explanation:
A step-by-step solution to 1/6 plus 2/8, with the answer in fraction form.Now we multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.
Hi am here spidey taylor
Answer:
this is my another account on brainly
please help!!!! will mark brainlist! am I right??
Answer:
you are corcect
Step-by-step explanation:
20,003x 6 using distributive property of multiplication
Answer:
360
Step-by-step explanation:
20.3 x 6
a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5