Answers
I think this is it
Answer:
x = 2 and -4
Step-by-step explanation:
(x + 1)² = 9
First, take the square root of both sides. This will eliminate the square on the left side.
(x + 1) = √9
Note that √9 can be 3 or -3.
Let's write out both possibilities.
(x + 1) = 3
(x + 1) = -3
Solve.
(x + 1) = 3
[subtract 1 from both sides]
x = 2
--
(x + 1) = -3
[subtract 1 from both sides]
x = -4
Your answers are 2 and -4.
Let's check our answers by plugging in the values back into the original equation.
(x + 1)² = 9
(2 + 1)² = 9
(3)² = 9
9 = 9
That solution is correct.
(x + 1)² = 9
(-4 + 1)² = 9
(-3)² = 9
9 = 9
That solution is also correct.
Your answer is correct.
Hope this helps!
Related Questions
what is the value of 11²
Answers
Answer: 121
11^2 = 11 x 11 = 121
Answer:
121
Step-by-step explanation:
To square a number, we have to multiply the number by itself. This means we'll multiply 11 by 11.
11 · 11 = 121
So, 11² = 121.
I hope this helps :)
Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?
Answers
Answer:
80% chance she will not be chosen
Step-by-step explanation:
the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.
I hope this is correct!
The probability that Aretha will not be chosen is 0.8.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Probability of choosing 2students =2/10
Probability of not choosing students = 1-2/10
= 8/10
= 0.8
Therefore, the probability that Aretha will not be chosen is 0.8.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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Find the area of the trapezoid
A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2
Answers
Answer:
D. 84 ft^2
Step-by-step explanation:
Formula for area of a trapezoid:
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
base 1 = 9ft
base 2 = 12ft
height = 8ft
Using the following information we plug in the values into the formula
[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]
Hence, the area of the trapezoid is 84ft² and your answer is D
What's the equation for a circle of (2,-5) and a radius of 2
Answers
Answer:
(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.
Step-by-step explanation:
Answer:
(x - 2)^2 + (y + 5)^2 = 2^2
Step-by-step explanation:
Adapt the standard equation of a circle with center at (h, k) and radius r:
(x - 2)^2 + (y + 5)^2 = 2^2, where h = 2 and k = -5 and r = 2
A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.
Answers
Answer: 3.57 years
Step-by-step explanation:
Based on the question given, the interest is the difference between the amount and the principal which will be:
= $19800 - $16800
= $3000
The formula for Simple interest is given as:
Interest = Principal × Rate × Time
3000 = 16800 × 5% × Time
3000 = 16800 × 0.05 × Time
3000 = 840 × Time
Time = 3000 / 840
Time = 3.57
The time taken to grow the investment is 3.57 years
Angle Sum Theorem
33°
87°
х
у
X = [? ]
please help! I will mark brainlest!!
Answers
Answer:
x=60
Step-by-step explanation:
everytime you have a right triangle it equals 180 degrees so you just have to add the two angles then subtract 180 from it and it you need Y just do 60-180=120 because it is an obtuse equals 180 as well.
At 6 a.m. the temperatures was at 4.05 degrees Fahrenheit by noon the temperature had risen 16.3 degrees Fahrenheit what was the temperature at noon?
Answers
Answer:
15°F at 3:00 a.m.
Step-by-step explanation:
The point P(x, y) lies on the terminal side of an angle 0 = –60° in standard position. What are the signs of the values of x and y?
Answers
Answer:
X is positive
Y is negative
Step-by-step explanation:
Just take the cos of angle - 60 for X
and also take the sin of angle - 60 for Y
You will find x positive, and y negative
Molly keeps a record of her money on a calendar. She had $112.64 saved prior to the week shown in the partial calendar. How much money did Molly have left at the end of this week?
Answers
bIt was like any other day. I woke up to the sound of Fletchling in the trees. Wait is that the sound of Fletchling!? Am I still dreaming or have all my dreams just come true?............
I did everything in my power to see if I was dreaming and I wasn’t. This was the start of a new beginning. I knew what had to happen next. Just then, Professor Oak walked in and my mom came into the room and said,”Charles I think you should stay here.”
But like any kid would do I didn’t listen.
Then it all came back like a flood.
I peeked out of a crack in my door and saw my mom and the Professor talking. I couldn’t tell what they were saying but there was a box on the table and it had my name on it. The addresser: Anonymous.
Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.
Answers
Answer:
C. Yes nicholas is right.
what is the slope of the line?
Answers
Answer:
the slope is 3/2
In the triangle below, with right angle
Find the degree measure of each angle in the triangle.
Answers
Answer:
90°, 62.8° and 27.2°
Step-by-step explanation:
180 = 5x + 133
47 = 5x
9.4= x
2 * 9.4 + 44 = 62.8°
3 * 9.4 - 1 = 27.2°
(5y+4)+(−2y+6)= find the sum
Answers
Answer:
-32
Step-by-step explanation:
Solve for h. 28 = h 9 + 23
Answers
Answer:
28 = h 9 + 23
28 = h 32
h = 32 - 23
h = 9
-23 -23
5=h9
5/9= h
Which is not a characteristic of an exponential parent function?
O A. It passes through (0,1).
O B. The domain is all real numbers.
O C. It goes through the origin.
O D. The range is positive real numbers (y > 0).
Answers
Given:
The characteristic of an exponential parent function in the options.
To find:
Which is not a characteristic of an exponential parent function?
Solution:
The exponential parent function is:
[tex]y=b^x[/tex]
Where, [tex]b>0[/tex].
At [tex]x=0[/tex],
[tex]y=b^0[/tex]
[tex]y=1[/tex]
It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.
The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0). So, the statements in the options B and D are true.
Therefore, the correct option is C.
A rectangle with a length of 22 feet and an unkown width,W, has a perimeter of 74 feet. Set up and slove an equation to find the vaulur of W
Answers
Answer: W=15
Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74
2(22) + 2W=74
44+2W=74
Subtract 44 from both sides
2W=30
Divide both sides by 2
W=15
some math put with other math equals 15
Which set of ordered pairs (x, y) could represent a linear function of x?? A ((-2,8), (0,4) , (2, 3) , (4,2)) B ((1,2), (1,3),(1,4), (1,5)) C ((-2,7) , (0,12),(2,17),(4,22)) D ((3,5), 4,7) , (3, 9) , (5,11))
Answers
Answer:
A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A
Step-by-step explanation:
ABC is a right triangle. calculate the length of side BC (the hypotenuse)
Answers
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Awnser question and show your work if you can (i will give brainliest
Answers
Answer:
answer is -1.75
Step-by-step explanation:
[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]
What is the perimeter?
Answers
Answer:
41.13m
Step-by-step explanation:
the circumference of the circle is 25.13 and the 8 on both sides equals to 16
Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).
Answers
Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13
PLEASE HELP ILL GIVE BRAINLIEST
You walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph
Answers
Answer:
5 mph.
Step-by-step explanation:
5x6 equals 30. 30 divided by 6 equals five. Hope it helps
Answer:
A. 5mph
Step-by-step explanation:
30m = 6h
/6 /6
5m = 1h
5mph
Solve for x.
10
8
6
Answers
Answer:
18
Step-by-step explanation:
Intersecting Secants Theorem:
6(x + 6) = 8(8 + 10)
6x + 36 = 8(18)
6x + 36 = 144
6x = 144 - 36
6x = 108
x = 18
Find a formula for the nth term
of the arithmetic sequence.
First term 2.5
Common difference -0.2
An = [? ]n +
Answers
please help me
the formula
A=1/2 X bX h
Answers
Answer:
−4 cot ( −45 )
Step-by-step explanation:
A six sided die is rolled and a spinner with 5 equal spaces labeled A-E is spun. Find the P(rolling
a 1 and spinning A). Answer as simplified fraction.
Answers
Answer:
1 / 30
Step-by-step explanation:
For a six - sided die :
Sample space = (1, 2, 3, 4, 5, 6)
P(rolling a 1) = required outcome / sample space = 1/6
Sample space for spinner = (A, B, C, D, E)
P(spinning A ) = required outcome / sample space = 1/5
P(spinning A) = 1 / 5
P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30
At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.
Answers
Answer:
[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]
Step-by-step explanation:
I hope that is useful for you :)
The height of the tree with angle of elevation of 53⁰ is 66 ft.
What is Angle of Elevation?The angle of elevation is the angle between the horizontal line of sight and the object.
Here, Let the height of the tree be x ft.
The angle of elevation = 53⁰
Distance from ground = 50 ft.
According to question,
tan 53⁰ = x/50
x = 50 × tan 53⁰
x = 50 X 1.32
x = 66 ft.
Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.
Learn more about Angle of elevation from:
https://brainly.com/question/16716174
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Pythagorean Theorem Level 2
Answers
Answer:
10
Step-by-step explanation:
Pyth. Theorem:
a = leg, b = leg, c = hypotenuse
[tex]c = \sqrt{ {a}^{2} + {b}^{2} }[/tex]
The length of the third side
=
[tex]\sqrt{ {5 \sqrt{3} }^{2} + {5}^{2} }[/tex]
=
[tex]\sqrt{75 + 25}[/tex]
=
[tex]\sqrt{100}[/tex]
= 10
Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.
Answers
Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.
[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].
We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.
They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:
[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]
Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]
What is the value of b?
Help please
Answers
Answer:
4/3 is ur answer which is equal to 6.92820323028
which i B's side length
Step-by-step explanation:
Which means that the longer leg=square root of 3 times the shortest leg ( the shortest leg lies opposite of the 30 degrees angle)
=4_/3 or the second choice