Answer:
Step-by-step explanation:
Perimeter = P = 4a where a is each side of square
P = 4(353) = 1412
Area = a^2 where a is each side
A = (353)^2 = 124,609
Gigi graphs the parabola (x+1)2=2(y−3).
How does she proceed?
Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.
After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:
Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].
Since Gigi's parabola has the x-term squared, then the parabola has the general formula
[tex](x-h)^2=4p(y-k)[/tex]
So,
[tex]x-h=x+1 \implies h=-1[/tex]
[tex]y-k=y-3\implies k=3[/tex]
The vertex is
[tex](h,k)=(-1,3)[/tex]
The focus is
[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]
The directrix is
[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]
The other values can be computed as follows;
Direction the parabola opens: Since the value of p is positive, the parabola opens up.
Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is
[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]
Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be
[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]
Learn more about conic sections here: https://brainly.com/question/12854078
Answer:
I took the quiz.
Step-by-step explanation:
Find the value of x and y.
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?
Answer:
s(c)= 4.4c
Step-by-step explanation:
There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?
Answer:
ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252
Hope This Helps!!!
Marked down 1/9 means it sold for 8/9 of the original price.
Divide the sale price by 8/9:
224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252
The original price was $252
Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?
Answer:
well like this 3/8
Step-by-step explanation:
3/8 and rest is 5/8 in fraction form
Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answer:
19 cents because 2.85/15=0.19ct and now we round it up its 20cents!
Step-by-step explanation:
Hope this helps!
Answer:
The answer is $0.19
Step-by-step explanation:
Divide 2.85 by 15.
2.85 ÷ 15 = 0.19
1/3(x-6)=16
Please help me out
Answer:
[tex] \frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}[/tex]
Answer:
x=54
Step-by-step explanation:
i used a app its great and best for these types of questions
A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above
Answer:
118.72
Step-by-step explanation:
I just used my calculator 0-0 hope this helped :)
What does the degree of the polynomial tell you.
A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.
2/3 subtracted from 1/2
Answer:
-1/6
Step-by-step explanation:
[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]
write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000
[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]
[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]
[tex] \frac{72}{1000} = \frac{9}{25} [/tex]
[tex] \frac{2}{1000} = \frac{1}{50} [/tex]
I DON'T KNOW IF CORRECT
Answer:
i) 2.9
ii) 3.29
iii) 0.072
iv) 0.002
Step-by-step explanation:
i) 29/10 = 2.9
ii) 329/100 = 3.29
iii) 72/1000 = 0.072
iv) 2/1000 = 0.002
It's Helpful For All
Mark me Brainliest
Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?
2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(
Answer:
.88 Euro
Step-by-step explanation:
One U.S. dollar is equivalent to .88 Euro. Have a nice day!
Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?
Solve the slope for the table.
Answer:
Slope = -3
Step-by-step explanation:
8-17/0+3=-9/3=-3 : Slope Formula
what is a ratio of two different measurements where the 2nd measurement is 1.
Answer:
A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL
Step-by-step explanation:
Please help with this math
Answer:
676
Step-by-step explanation:
You need to find out abcde and then find out what bd is after that you must divide them both by 3
Hope that helped
What is the slope for this table?
Answer:
-1/2
Step-by-step explanation:
take two points and apply
(8-7)/(0-2)=1/-2=-1/2
Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?
Answer:
first tell how far does Mr. Gilbert drive???
Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.
Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12
I hope this helps! :)
im stuck on this problem can someone help me? (see photo)
Answer:
I'm thinking the anwer is B
Step-by-step explanation:
I remember doing this problem before :)
help ? yes ? no ? maybe
what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
how can u calculate 23x4 if the 4 buton is broken?
Answer:
23x2x2
Step-by-step explanation:
what would be 8/1 x 1/2
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
I GIVE BRAINLIST ON ALL MY QUESTIONS !!
solve the system of equations using substitution
y= 2x + 4
2x - y =6
A) (2, 8)
B) (2, -8)
C) (10, 24)
D) no solution
Answer is D)
no solution
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12
Find the length of the third side. If necessary, write in simplest radical form.
Step-by-step explanation
Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..
Answer:
Each student get 3/4 cups.
Step-by-step explanation:
15÷20=0.75
turn into fraction
3/4
I answer this question before
Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?
Answer:
10 hours
Step-by-step explanation:
let x be the total number of hours
Amazing design total charge = 45x+250
super structures total charge = 60x+100
both companies charge the same amount when both equation equals
45x+250=60x+100
60x-45x=250-100
15x=150
x=10
therefore at 10 hours both companies will charge the same amount
