Answer: You are correct, the solution is:
-2 + (-4) + 2 = -4
Step-by-step explanation:
We start at position -2, then we get 4 in the first dice, the first dice tell us how many units we move to the left, and at the left we have the negative side of the numberline then we need to subtract 4 to the starting position. This is:
-2 - 4
Or we can rewrite this as:
-2 + (-4)
Now we got a 2 in the second dice, this dice tell us how many units we move to the right, and we know that the right is the positive side of the numberline, then we need to add 2.
The equation becomes:
-2 + (-4) + 2 = -4
So you are correct.
are 7x and 3+ like terms that you can combine?
Answer:
no
Step-by-step explanation:
Because the term behind the 7 is a x, but the 3 only has a plus sign. If both numbers had a x, then yes
Hope this Helps!!!
what does y equal?......
Answer:
37
Step-by-step explanation:
Any point on the parabola can be labeled (x,y) as shown.
1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)2+(y−3)2
distance to the directrix: |y−4|
distance to the directrix: |x−4|
distance to the focus: √(x−2)2+(y+3)2
distance to the focus: √(x+3)2+(y−2)2
distance to the directrix: |y+4|
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
2nd and 5th choice.
Part B)
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Step-by-step explanation:
For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.
Part A)
We are given a point (x, y) on the parabola.
Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:
[tex]d_1=|y-4|=|4-y|[/tex]
Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:
[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]
Hence, for Part A, our answers are the 2nd and 5th choices.
Part B)
Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:
[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]
Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:
[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]
Square:
[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]
Rearrange:
[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]
Combine like terms:
[tex]x^2+6x-3=-4y[/tex]
Divide both sides by -4. Hence, our equation is:
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Heyo! :D
Distance to the directrix is |y - 4|.
Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].
Hope this helps! If so, please lmk! Tysm and good luck!
PLZ HELP!
Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular, with an area no greater than 3,003.84 cm2. Carmen's painting wins second prize in the contest. The painting that wins first prize has an area that is 1.6 times less than the greatest area the rules allow.
What is the area of the first-prize painting?
Which ordered pair is in the solution set of y> 2x + 3?
a.(1,4)
b.(3,2)
c.(0,5)
d.(0,0)
The sum of 5 times a number and 3 is the same as the difference of the number and 9. Find the number
Answer:
let number be n
by question
(5n+3)=(n-9)
5n-n=-9-3
4n=-12
n=-12/4=-3
required no. is -3.
Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which expression is equivalent to 4b + 2m?
A) 6bm
B) 2(2b+2m)
C) 2(2b+ m)
D) 6(b+m)
Answer:
d
Step-by-step explanation:
Find x and y so the quadrilateral is a parallelogram.
Answer:
We conclude that:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
so
[tex]RT = TP[/tex]
Given
RT = xTP = 5x-28so substituting RT = x, and TP = 5x-28
[tex]RT = TP[/tex]
[tex]x = 5x-28[/tex]
[tex]5x = x+28[/tex]
[tex]5x-x = 28[/tex]
[tex]4x = 28[/tex]
divide both sides by 4
[tex]4x/4 = 28/4[/tex]
[tex]x = 7[/tex]
Therefore, the value of x:
x = 7Similarly,
[tex]QT = TS[/tex]
Given
QT = 5yTS = 2y+12so substituting QT = 5y, and TS = 2y+12
[tex]QT = TS[/tex]
[tex]5y = 2y+12[/tex]
[tex]5y-2y = 12[/tex]
[tex]3y = 12[/tex]
divide both sides by 3
[tex]3y/3 = 12/3[/tex]
[tex]y = 4[/tex]
Therefore, the value of y:
y = 4
Therefore, we conclude that:
The value of x = 7The value of y = 4solve 6 (3x/2-4) =30
[tex]x = - \frac{10}{3} [/tex]
EXPLANATION[tex] - 9x = 30[/tex]
[tex]9x = - 30[/tex]
[tex]x = - \frac{10}{3} [/tex]
HopeItHelps you
The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.
____square feet
Answer:
26
Show Your Work:
Answer:
26 sq.ft.
Step-by-step explanation:
i did the diagnostic
Classify the triangles based on whether they are right triangles.?
Answer:
The 1st, 4th, and 5th triangles are right triangles
Step-by-step explanation:
Right triangles always have a key characteristic. They all have an angle of 90 degrees. Keep an eye out for that.
james is in charge of the decorations. he hs a total budget of $50 to spend for all of the decorations. james spends $20 on one banner and would like to buy balloons that cost $2 each with the rest of the money. Write an equation to represent the situation.
How many balloons can james buy?
20
X + 60°
X=
20
40
80
i think its C because don't you have to add the numbers together
The answer is 40 degrees :]
write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a
what is 246 588 rounded to the ten thousands place
9514 1404 393
Answer:
250,000
Step-by-step explanation:
The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...
250,000
3. Frank is considering two cell phone plans. The first company charges $120 for the
phone and $30 per month for the calling plan that Juan wants. The second company
charges $40 for the same phone but charges $45 per month for the calling plan that
Juan wants. After how many months would the total cost of the two plans be the same?
Representations:
Equations:
Answer:
5.333 months
Step-by-step explanation:
Company A: 120+30x
Company B: 40+ 45x
120+30x=40+45x
80=15x
80/15=x
5.33333=x
Q
A rectangular field is 16m broad
and the ratio of the length and
find the length of the field
breadth is 3:2.
Find the length of the field
8a-9÷3 if a=7/8
its algebra i need help
Answer:
4
Step-by-step explanation:
Plug 7/8 into a.
8(7/8)-9/3 Multiply.
7-9/3 Divide.
7-3 Subtract.
4
Hope this helps!! Have a great day! (。・∀・)ノ゙
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
1/6y^4
Step-by-step explanation:
sorry if I'm wrong
help please ASAP super hard
Answer:
B.
Step-by-step explanation:
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
Plss which one??
Will mark brainlist
Answer: the 2nd one maybe
Which is greater, 76% or 0.67?
Answer:
76%
Step-by-step explanation:
76% is 0.76
So it's is greater than 0.67
76%>0.67
could you please help me if you know how to do this
Answer:
In the first one, 4 is multiplied by c. In the second one, 1/4 is multiplied by c.
Step-by-step explanation:
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
73.2 cm³
Step-by-step explanation:
The volume of the cylinder without the prism is V" = volume of cylinder, V' - volume of rectangular prism, V
Volume of cylinder = πr²h where r = radius of cylinder = 2 cm and h = height of cylinder = 6 cm.
So, V = πr²h
= π(2 cm)²(6 cm)
= π × 4 cm² × 6 cm
= 24π cm³
= 75.4 cm³
V = volume of rectangular prism = Area of 0.6 cm square × height = L²h where L = 0.6 cm and h = height of rectangular prism = 6 cm.
So, V = L²h = (0.6 cm)² × 6 cm = 2.16 cm³
volume of the cylinder without the prism is V" = V' - V
= 75.4 cm³ - 2.16 cm³
= 73.24 cm³
≅ 73.2 cm³
Answer:
Not an answer
Step-by-step explanation:
Maria makes a fruit salad.
The table shows the amounts of different kinds of fruit that she uses.
Kind of Fruit Amount
Grapes 323 cups
Melon 214 cups
Pineapple 234 cups
Strawberries ?
The amount of strawberries that Maria uses is 38 times the amount of the other fruits combined.
How many cups of strawberries does Maria use?
Answer:
If my calculations are correct it would be 6,168 cups of strawberries
Step-by-step explanation:
If it’s 8 times the amount of them combined then you add all of the other fruit together and then multiply by 8 giving you:
323+214+234=771
771*8=6,168 cups of strawberries.
Only in math would someone need that much fruit
Find the slope of the line passing through points -2, 2 and 2, 0
We can find the slope by using the slope formula. Also know rise over run.
[tex] \large \bold{m = \frac{rise}{run} }[/tex]
[tex]m = \frac{2 - 0}{ - 2 - 2} \\ m = \frac{2}{ - 4} \\ m = - \frac{1}{2} [/tex]
From the slope-intercept y = mx+b.
[tex] \large \bold {m = slope } \\ \large \bold {b = y - intercept }[/tex]
Answer[tex] \large \boxed { - \frac{1}{2} }[/tex]
Answer:
-1/2
Step-by-step explanation:
Going from (-2, 2) to (2, 0), x (the run) increases by 4 and y (the rise) decreases by 2. Thus, the slope of this line is m = rise / run = -2/4 = -1/2.
Can u pls help me with this question
Answer:
21 is the answer your welcome
can somone answer this please
Answer:
4
7
6
9
Step-by-step explanation:
plz brainliestt
Are these triangles similar?
Answer:Similar yes, AA similarity
Step-by-step explanation