Trucks will be able to pass through tunnel B while tunnel A is destroyed.In light of this, the equations for tunnels A and B are x2 + y2 + 30x + 56 = 0 and x2 - 30x + 16y - 95 = 0, respectively.
What is the standard form of parabola equation?A parabola's general equation is either y = a(x-h)2 + k or x = a(y-k)2 + h, where (h, k) stands for the vertex.
y2==4ax is the typical equation for a normal parabola.
Section A: x2+y2+30x+56=0
On both sides of an equation, add 152.
This is,
x²+30x+15²+y²=-56+15²
⇒ (x+15)²+y²=169⇒ (x+15)²+y²=13²
On both sides of the equation, divide 132.
⇒ (x+15)²/13² + y²/13² =1
Part B:x²-30x+16y-95=0
x2-30x+16y=95 now,
On both sides of an equation, add 152.
In other words, x2-30x+152+16y=95+152
⇒ (x-15)²=320-16y
⇒ (x-15)²=16(20-y) (20-y)
Part C:greatest height:A: 13 feet
B: 20 feet ,8 feet wide
A: x+15=8/2=4 y=12.37<13.5
B: x-15=8/2=4 y=19>13.5
In turn, tunnel A will sustain damage while the truck can travel via tunnel B.
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help again i need help
Answer:
2.25
Step-by-step explanation:
32 divided by 14 2/9
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What is the y-intercept
Step-by-step explanation:
To find the y intercept we need to find slope first which can be done by taking 2 points and using the slope formula
5 - 10
---------- = -5/3
12--9
The slope is -5/3 now we take one point substitute the slope in and find the y intercept
5=-12( -5/3) +b
5= 20+ b
-15 =b
The y-intercept is -15
Helpppppppp pls help .
Answer: X= 1 2 3 4 Y= 5 8 11 14
Step-by-step explanation: i tried my best
holly has 368 pet pal cards Dara has 243 cards how much more does holly have then Dara
Answer:
125
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
368 - 243 = 125
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer:
1120 super easy
Step-by-step explanation:
8x10=80
80x14=1120
Plz help me!!
Can someone tell me how to get the answer as well plz? Thank you
Every year Ethan ears 38,428. Every year he spends 21,728 on expenses. How much money should Ethan have leftover?
Answer:
16,700
Step-by-step explanation:
38,428
_
21,728
=
16,700
Elias swam 1,170 laps in the pool last week. If he
spent a total of 6 hours swimming laps, how
many laps per minute did he average?
6 hrs x 60 min = 360 min
1170/360=3.25 laps/min
someone please help!!
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Quadratic formula.
Since we know that, for
[tex]a {x}^{2} + bx + c = 0[/tex]
For this quadratic equation, the formula is :
[tex] \frac{ - b - + \sqrt{ {b}^{2} } - 4ac }{2a} [/tex]
so we apply it here,
so we get as,
[tex] \frac{ - 5 + - \sqrt{25 - 24} }{6} [/tex]
option C is correct.
Answer:..........
Step-by-step explanation:
You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.
Answer:
$200
Step-by-step explanation:
Here is the full question
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?
in 10 years, the bulbs would be changed twice
Total cost incurred per bulb in 10 years = (6.95 + $3) x 2 = $19.90
Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990
Cost per year = $1990 / (6.95 + $3) = $200
Samaia buys two water bottles and three bags of chips for $9.45. Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75. Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario? Each water bottle is same price and each bag of chips is same price. * A) 3w + 2c = 9.45 AND 5w + 4c = 14.75 B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 3) 2w + 3c = 14.75 AND 4w + 5c = 9.45 D) 5c + 9w = $24.20
Answer:
B) 2w + 3c = 9.45 AND 4w + 5c = 14.75
Step-by-step explanation:
Let us represent:
Number of water bottles = w
Number of bag of chips = c
Hence:
Samaia buys two water bottles and three bags of chips for $9.45.
2w + 3c = 9.45......Equation 1
Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75.
4w + 5c = 14.75......Equation 2
Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario?
Option B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 is the correct option.
What is the value of x in the matrix equation below?
=======================================================
Explanation:
The -2 outside the first matrix multiplies to every item inside that first matrix.
So the x updates to -2x in the upper left corner.
That -2x adds to the 3 in the upper left corner of the second matrix. The sum -2x+3 must be equal to the value in the upper left corner of the third matrix.
Everything is focused on the upper left corner.
So we must solve -2x+3 = x
Doing so leads to...
-2x+3 = x
3 = x+2x
3 = 3x
3x = 3
x = 3/3
x = 1
Do you know anything about y=mx+b
Answer:
yes
Step-by-step explanation:
your m is your slope,your b is the y-intercept, and your y is what you are solving for.
Answer:
Y=mx+b is an equation for a linear equation
M is the slope of the line and B is the y-intercept
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Every straight line can be represented by an equation: y = mx + b.
Hope this helps :))
PLEASE HELP ME!!!!!!!!!!!!
Rosa is selling juice and cookies for a fundraiser. She earns $2 for every cookie and $3 for every bottle of juice. She wants to earn at least $24 from all the sales. Let x represent the number of cookies sold and y represent the number of bottles of juice sold. What does the slope of this inequality represent? 2x + 3y ≥ 24
Answer:
The slope is 2. It represents the price of the cookies.
Step-by-step explanation:
The slope is 2 because its in frount of the x and 2 is the price of the cookies.
I don’t know if this is correct !!!!! Please help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!
Answer:
change up to down the rest is right
Step-by-step explanation:
hope I helped!!
Madison was working at a store in the mall. She earns 7% commission for each sale that she makes. Last month, she sold a total of $1,450. How much commission did she earn?
Answer:
101.50
Step-by-step explanation:
Answer:
$101.50
Step-by-step explanation:
7% of 1450 = 0.07 × 1450 = 101.5
The graph of a liner function is shown on the coordinate grid. what is the slope of the graph of this function?
A-7/3
B-3/7
C- -7/3
D- -3/7
Answer: C -7/3
Step-by-step explanation: Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in its simplest form.
Answer:
39/30= 13/10
Step-by-step explanation:
You would need to make all numbers have a common denominator. The least common denominator for them is 30. So multiply the 1/6 by 5. the 4/5 by 6 and the 2/3 by 10. And the answer will come out to be a mixed number.
At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?
Answer
4, 7, 5, 10, 13, .......
Step-by-step explanation:
the only numbers that are impossible to get are the non-multiples of 3 and 8
and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to
6 times the difference of d and 5
Answer:
6(d - 5)
Step-by-step explanation:
Answer:
d-30
Step-by-step explanation
6*5 the do d- that which is d-30
STATE 2 DECIMALS BETWEEN 2.10 AND 2.11 Please help!
Answer:
There are many decimals between 2.10 and 2.11.
Examples:
2.101, 2.102, 2.103, 2.104, 2.105, 2.106, 2.107, 2.108, 2.109
You can choose 2 from these examples.
Helppppppppp me plz I rlly. We’d help
Answer:
c = 4,9
d = 4,6
The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00
Answer: The correct option is A: $2.00
Step-by-step explanation:
The question should be:
"The bill at the restaurant was $18.79 estimate the amount to leave as a 10% tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00"
The general case is:
When we have a quantity A (where A is the 100%) the X% of A is:
(X%/100%)*A
In this problem, we have a bill of $18,79 and we want to leave a 10% tip.
Then $18,79 is the 100% we want to see how much is the 10% of $18,79
If we use the above equation we get:
Tip = (10%/100%)*$18,79 = $1,879
The option that approaches the best to this amount is option A, $2.00
Then the tip should be $2
The correct option is A.
Which of these graphs represents a function?
-5-4-3-2-1, 1 2 3 4 5
-5-4-3-2-11
-5
-5
w.
X.
.4-3-2-1,
1 2 3
5-4-3-2-13
1 2 3 4 5
.51
Y.
Since each value of the input is mapped to only one value of the output, we have that graph w represents a function.
When does a graph represents a function?When it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
Hence, in this problem, graph w represents a function.
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Answer:
it's A have a good day
Step-by-step explanation:
Expand the polynomial: (2x+3)^2
Answer:
4x^2+12x+9
Step-by-step explanation:
(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9
please help me is you help me i will give you brainlest!!!!!
Which figure has no line of symmetry
Answer:
the first figure
Step-by-step explanation:
Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the painting?
please tell ans step by step..
Answer:
$4800
Step-by-step explanation:
Let x be the C.P of the painting.
Profit=10% of x
Profit=[tex]\frac{10}{100}\times x=\frac{10x}{100}[/tex]
If S.P increase by 240 then
Profit=15% of x=[tex]\frac{15x}{100}[/tex]
For first case
S.P=C.P+ Profit
S.P=x+10x/100
S.P=[tex]\frac{100x+10x}{100}=\frac{110}{100}x[/tex]
For second case
New S.P[tex]=x+\frac{15}{100}x[/tex]
=[tex]\frac{115}{100}x[/tex]
According to question
[tex]240+S.P=\frac{115}{100}x[/tex]
[tex]240+\frac{110x}{100}=\frac{115}{100}x[/tex]
[tex]240=\frac{115}{100}x-\frac{110x}{100}[/tex]
[tex]240=\frac{115x-110x}{100}[/tex]
[tex]240=\frac{5}{100}x[/tex]
[tex]x=\frac{240\times 100}{5}[/tex]
[tex]x=4800[/tex]
Hence, the C.P of the painting=$4800
Jane made a poster that had a length of 1 2/3 feet and a width of 5/6 feet. What is the perimeter of her poster?
answers; 1 7/18, 2 1/2, 3 feet, and 5 feet.
Answer:
5 feet
Step-by-step explanation:
Find the value of x when the triangle has 9 and 3
Answer:
H²=h²+b²
H²=9²+3²
H²=81+9
H²=90
H=
[tex] \sqrt{90} [/tex]
The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 5 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth.
Answer:
[see below]
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
'c' will be the hypotenuse.
The hypotenuse is 15 cm. One of the legs is 5 cm.
[tex]5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237[/tex]
14.1421356237 ≈ 14.1
The other leg should be about 14.1 cm.
Hope this helps.
The length of the other leg is 14.14 cm rounded to two decimal places.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The hypotenuse of a right triangle measures 15 cm, and one of its legs measures 5 cm.
We know,
Hypotenuse² = Base² + Adjacent².
Therefore,
15² = 5² + Adjacent².
Adjacent = √(225 - 25).
Adjacent = √200.
Adjacent = 14.14.
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