Answer:
The integer is 1
Step-by-step explanation:
Required
Translate and solve
Let the positive integer be x.
So, we have;
The square of the integer is: x^2
Plus 5 times its consecutive integer is: x^2 + 5(x + 1)
Equals 11 is: x^2 + 5(x + 1) = 11
So, we have:
[tex]x^2 + 5(x + 1) = 11[/tex]
Open bracket
[tex]x^2 + 5x + 5= 11[/tex]
Subtract 11 from both sides
[tex]x^2 + 5x -6= 0[/tex]
Expand
[tex]x^2 + 6x - x-6= 0[/tex]
Factorize:
[tex]x(x + 6) - 1(x+6)= 0[/tex]
Factor out x + 6
[tex](x - 1) (x+6)= 0[/tex]
Split
[tex]x - 1 = 0\ or\ x + 6 = 0[/tex]
Solve for x in both cases
[tex]x = 1\ or\ x = -6[/tex]
Since the number is positive, then [tex]x = 1[/tex]
Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6
Answer:
answer is +4...
Step-by-step explanation:
when x=6, the expression becomes
2(6)^2+ 4-5
2(36)+(-1)
72-1=71
therefore 71+4 gives 75
Which is the y-intercept of the equations?
Equation A
Х 0
Y 1
1
4
2
9
3
16
Equation B
f(x) - -x+ 2
O A: -1, B: 2
O A: 2, B: 0
O A: 1, B: 2
O A: -1, B: -1
to coarch
Answer:
0, 1 would be y-intercept
Step-by-step explanation:
0, 1 is where the line crosses the x-axis
I need this by today!!! It’s due!! I need both questions :(
please help me with this
Answer:
Your answer is 1/10
Step-by-step explanation:
5/6 x 2/7
please help me again
Answer:
[tex] \frac{5}{6} \times \frac{2}{7} \\ = \frac{5 \times 2}{6\times 7} \\ = \frac{10}{42} [/tex]
Anne, Barry and colin share a prize in the ratio 3 : 4 : 5
colin gives 1/3 of his share to a charity
what fraction of the whole prize does colin give to charity?
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Answer:
5/36
Step-by-step explanation:
Colin's fraction of the prize is ...
5/(3+4+5) = 5/12
1/3 of that is ...
(1/3)(5/12) = 5/36
Colin gave 5/36 of the prize to charity.
The Cohens found 8 pairs of shorts with the following prices:
$10, $11, $11, $16, $16, $17, $18, $38
Which statements about the prices are true? Select all that apply.
The median is $16.
The range of the prices is $28.
The interquartile range is between $6 and $7.
If the price that is the farthest from the mean is removed, the median will change.
If the price that is farthest from the mean is removed, the mean will become larger.
Answer:
the range of the prices is $28
Step-by-step explanation:
the range is 38-10 so it’s 28
An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed: _____mph Direction:______ °
Answer:
your answer is gonna be 579 miles that would be your answer
The ground speed will be 454.2 mph in north east.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
Given that airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination.
The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east.
The component of an airplane will be
x =450 sin 10
x = -244.8
y = 450 cos 10
x = -377.5
The component of wind will be
x =34sin 85
x = -5.98
y = 34 cos 85
x = -33.4
Then the ground speed will be 454.2 mph in north east.
More about the vector link is given below.
brainly.com/question/13188123
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Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?
Answer:
A: 2 Feet
Step-by-step explanation:
Got it right
The distance from the center of the ellipse to where the spots are located will be B. 2 feet.
How to calculate the distance?From the information given, the The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet.
The distance from the center of the ellipse to where the spots are located will be:
= 5 - 3
= 2 feet.
Learn more about distance on:
https://brainly.com/question/2854969
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Can someone do this quick for me, ik giving all of my points
7 boys to 2 girls is equivalent to which ratio? 21 boys to 6 girls 14 boys to 5 girls 21 boys to 9 girls 42 boys to 12 girls
7:2 = 21:6
This is because 7:6 is a simplified form of 21:6
Hope this helps; have a great day!
Brandon observes a marble travel along a horizontal path at a constant rate. The
marble travels z of the length of the path in 30 seconds. At that rate, how many
seconds does it take the object to travel the full length?
First, reason down from ſ to 3. Enter all values as fractions
(proper or improper) or whole numbers. You will need to
convert mixed numbers to improper fractions.
seconds
0
O
2/3
full lengths
Answer:
you really shouldn't put your name on the internet like that
Step-by-step explanation:
How many yards of fence does Raul need to
fence in a garden that is 12ą yards long and 9
yards wide?
Don’t tell me to “download the answer” that’s bs
Answer:
Raul needs 42 yards of fence.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this question:
The fence is rectangular.
12 yards long means that l = 12.
9 yards wide means that w = 9.
Perimeter:
P = 2(12 + 9) = 2(21) = 42
Raul needs 42 yards of fence.
Pls help me, i need the answer rn. Please, ty. (dont scam ;-;)
What is 137x8 multiply in expanded form please help I will give 10 points
Answer:
maybe 20
Step-by-step explanation:
or find it out yourself
Find the length of the missing leg in the following right triangle 15 25
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Answer:
20
Step-by-step explanation:
This triangle is your basic 3-4-5 triangle multiplied by 5 to become a 15-20-25 triangle. The missing leg is 20.
_____
More at https://brainly.com/question/23176381
A plane traveled 588 miles each way to Athens and back. The trip there was with the wind. It
took 7 hours. The trip back was into the wind. The trip back took 14 hours. Find the speed of
the plane in still air and the speed of the wind.
Answer:
The wind speed is 21 miles per hour, and the speed of the plane in still air is 63 miles per hour.
Step-by-step explanation:
Since a plane traveled 588 miles each way to Athens and back, and the trip there was with the wind and took 7 hours, while the trip back was into the wind and took 14 hours, to find the speed of the plane in still air and the speed of the wind, the following calculations must be performed:
Downwind travel = 588/7 = 84 miles per hour
Headwind travel = 588/14 = 42 miles per hour
84 - 42 = 42/2 = 21
84 - 21 = 63
Therefore, the wind speed is 21 miles per hour, and the speed of the plane in still air is 63 miles per hour.
A fair charges $4 per visitor as its entry fee.
Let c represent the number of visitors to the fair.
Let d represent the total entrance fee collected, in dollars.
Which graph shows the amount collected in entrance fees based on the number of visitors?
I would love to help you with this question just send all of the possible answer choices such A,B,C,D answers.
Between what two numbers would 9 be located on a number line?
A. 8 and 10
B. 7 and 8
C. 9 and 10
D. 10 and 11
[tex]it \: is \: simple \\ between \: 8 \: \: \: 10[/tex]
Answer:
A
Step-by-step explanation:
the between of two bumber of 9 is 8 & 10 8<9<10
Lisa makes 35 dollars per month babysitting . She spends 25% of what she earns on entertainment. How much does she spend on entertainment.
1. 4.50$
2. 8.75$
3. 10.00
4. 25.00$
What is the solution for the system of equations? y=2x+7y=−4x−5 Question 1 options: (−2, 1) (1, −2) (3, −2) (−2, 3)
Answer:
Answer Below \/
Step-by-step explanation:
Answer:
(-2,3)
Step-by-step explanation:
What’s the equation of line n?
Answer:
y=3x - 1
Step-by-step explanation:
the y - intercept is -1
Good Luck!!
Please someone help!5m^2 - 26m -24 =0
Answer:
roots are at -4/5 and 6
Step-by-step explanation:
(5m + 4)(m - 6) = 0
5m + 4 = 0
5m = -4
m = -4/5
m - 6 = 0
m = 6
In how many ways can a committee of three men and three woman be formed from a group of ten men and nine woman?
A committee of three men and three woman can be formed from a group of ten men and nine woman in _________ different ways.
Answer:
multiply ur options, so 9x10= 90
Step-by-step explanation:
I need! can you help me?
Answer:
C maybe
Step-by-step explanation:
equation on
1) -6 = 9
2) 7a - 4 = = 3a + 4
3) 6y + 5 = 3y + 6
4) 5b + 2 = 3b + 10
please help
Answer:
I know you are 100 percent Clear.
Hey Everyone! How are y’all?! Well, my teacher wants me to type a presentation about Dubai. Some friends gave me some ideas. So far I have Animals, Famous Attractions, The Burj Khalifa and Favorite Foods. Anyone got more ideas for me?
Answer:
Hm. Seems like you have it covered... how about culture?
Step-by-step explanation:
Hope I helped a lil :)
Best of luck <3
Answer:
History
Dubai’s golden era began in 1966. Oil was found at the offshore Fateh field, which is also known as the Fath of Oil. At that time, even the brightest brains could not begin to imagine Dubai relishing in the opportunities that are present in Dubai today. Oil became the gateway to a brand new world. Although it wasn’t a gateway for the locals to connect outside of Dubai, it was a gateway for foreigners to come into Dubai.
Merely a half a century ago, all of these big edifices, businesses, and residential developments were not even thought to exist. It may be hard to believe, but the village was indeed replaced by a thriving city. In 1883, Dubai’s current leaders took control, and ruled the village. Back then, the most critical financial source was limited to pearl-fishing.
Step by step, the whole city was replenished by new buildings, modern edifices and high-end apartments. The number of residents and which is of more importance, tourists is still increasing, and thus the hotels, townhouses, penthouses and apartments for rent are of high demand. Today, when you look at the exceptional oasis created by Sheik Mohammed bin al-Maktoum, along with the crown prince, it is hard to believe that this was once a village with a limited source of finances.
Does it help?
The sum of −9 and 18/2 is equal to 0. true or false ?
Answer:
False
Step-by-step explanation:
-9+18/2=0
(0,7): Use the equation r^2=x^2+y^2 to find the radius of this point.
Part II: Use the fact tan theta = y/x , x not equal to zeroto find the angle for this point.
Combine your answers to write the polar coordinates of this point.
Answer: [tex](7,\frac{\pi}{2})[/tex]
Step-by-step explanation:
Given
The equation of the circle is [tex]x^2+y^2=r^2[/tex]
Point [tex](0,7)[/tex] lies on the circle
Put the value
[tex]\Rightarrow 0^2+7^2=r^2\\\Rightarrow r=7\ \text{units}[/tex]
for this point, the angle is given by
[tex]\Rightarrow \tan \theta=\dfrac{y}{x}\\\\\Rightarrow \tan \theta=\dfrac{7}{0}\rightarrow \infty[/tex]
That is [tex]\theta \rightarrow 90^{\circ}[/tex]
The polar coordinate is given by [tex](r,\theta)[/tex]
[tex]\therefore\ (7,90^{\circ})\ \text{or}\ (7,\frac{\pi}{2})[/tex]
Geometry math homework please help!!!!
Answer:
(D)
Step-by-step explanation:
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