Step-by-step explanation:
Step 1: Add 13x to both sides
[tex]x^2 + 13x = -13x + 13x - 4[/tex]
[tex]x^2 + 13x = -4[/tex]
Step 2: Add 4 to both sides
[tex]x^2 + 13x + 4 = -4 + 4[/tex]
[tex]x^2 + 13x + 4[/tex]
Step 3: Use Quadratic Formula
[tex]x = \frac{ -b \pm \sqrt{ b^2 - 4ac } }{2a}[/tex]
[tex]x = \frac{ -(13) \pm \sqrt{ 13^2 - 4(1)(4)} } { 2(1)}[/tex]
[tex]x = \frac{-13 \pm \sqrt{153}}{2}[/tex]
[tex]x = \frac{-13\pm3\sqrt{17} }{2}[/tex]
Answer: [tex]x = \frac{-13\pm3\sqrt{17} }{2}[/tex]
Answer:
-0.3 and - 12.7
Step-by-step explanation:
Rewrite in quadratic form:
x2 + 13x + 4 = 0
The best approximations, given the options, are 0 and - 13
The actual solution is -
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
leg: 29 m; hypotenuse: 46 m
54.4 m
35.7 m
40.9 m
50.5 m
The length of the third side of a right triangle is 35.7 m
What is a right triangle?"It is a triangle whose one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]
where z is the hypotenuse and x, y are other two sides of the right triangle."
For given question,
We have been given the two sides of a right triangle.
leg = 29 m; hypotenuse = 46 m
Let 'a' be the other leg of the right triangle.
Using Pythagoras theorem,
[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]
Therefore, the length of the third side of a right triangle is 35.7 m
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What is the volume of a cone with diameter of 30 ft and height of 60 feet use 3.14 for pi enter your answer in the Box
Area of the top:
3.14 x 15^2 = 706.5 square feet.
Volume = area of top x height:
Volume = 706.5 x 60 = 42,390 cubic feet
I need help with this
Answer:
Step-by-step explanation:
1/2
If x is Equal to 7, what is 7 divided by 3 and round it up
Answer:
2.3 or 2
Step-by-step explanation:
solve: 9^8-x= 27^x-3
Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
Solve fraction 2/3x -1/2=1/6x-1/9
Answer:
Exact Form: x=7/9 Decimal Form: 0.7 (repeating)
Step-by-step explanation:
Hope this helps!! :)
An 11 ft flag pole is mounted on top of a school building. If the top of the flagpole forms a 60° angle with the ground 50 ft from the base of the building, about how tall is the school building?
Answer:
39 feet
Step-by-step explanation:
plz give me brainliest >.<
1. Solve for x
X - 10 = 15
what is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8
Answer:
The legs are both of length 4√2
Step-by-step explanation:
Let the length of one of the two equal legs be x. Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or
2x^2 = 64, or x^2 = 32 = 2(16)
Solving for x, x = 4√2. The legs are both of length 4√2.
Nat says that a square is a rectangle because it has four right angles. Amy says that a square is a rhombus because it has 4 equal sides. Who is correct? Explain *
Answer:
They are both correct in special cases of a rectangle and rhombuses
Step-by-step explanation:
A square is quadrilateral, with four equal sides and four equal interior angles of 90°
A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore, a square is a special case of a rectangle with all the sides equal
A rhombus is also a equilateral quadrilateral with having equal opposite angle.
Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.
What is the slope of the line y = 20x?
Answer:the slope is 20
Step-by-step explanation:
Answer:
m=20
Step-by-step explanation:
The line is in point slope form, or
y=mx+b
where m is the slope and b is the y-intercept
For the equation
y=20x
20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20
20+20+20+20+20+20+20+9893-2839283+93749-93+8366754439=???
Answer:
=8,364,018,845
Step-by-step explanation:
Mark me brainiiest.
Answer:
8364018845
Step-by-step explanation:
20+20+20+20+20+20+20 = 140
140+20893-2839283+93749-93+8366754439
Go to link for the question thx!!
If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k
Answer:
De value of k is 9
Step-by-step explanation:
6,-1
b(1,3)
(k,8)
am using bodmas
a6-1×1=6a
b1×3=3b
abc=8
6a+3b+8=17-8
=9
Can someone explain this and help me with the answer?
Answer:
Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality
Step-by-step explanation:
First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.
Please Find attached
Answer:
Using distance formula :
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB² = 45
AB = 6.71 units
What is the order of the numbers form least to greatest?
Answer:
B < A < C < D
Step-by-step explanation:
We can easily order the numbers by using a shortcut. To do this, you just look at the exponents. The more negative the exponent, the lower the number is. The more positive the exponent is, the greater the number is.
Answer:
The answer is option 2.
Step-by-step explanation:
In a faster way to see this you can just look at the power :
A = -4
B = -6
C = 4
D = 5
B < A
A < C
C < D
So the order is B, A, C and D.
what’s the value of x ?
Can you put the digits 1 to 11 in the circles so that every line has the same total?
Put the 1 in the middle, and then put on two opposite circles two numbers that sum to 11:
1, 10
2, 9
3, 8
4, 7
5, 6
Yes, you put the digits 1 to 11 in the circles so that every line has the same total.
What are the digits?A number is a count or measurement that is really an idea in our minds.
The digits 1 to 11 in the circles so that every line has the same total.
The given digits are as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.
The sum of the first number and last number is;
1 + 11 = 12
Similarly, the sum of the second number and second last element is;
2 + 10 = 12
The sum of the third number and third last element is;
3 + 9 = 12
The sum of the fourth number and fourth last element is;
4 + 8 = 12
The sum of the fifth number and fifth last element is;
5 + 7 = 12
The sum of the sixth number and sixth last element is;
6 + 6 = 12
The sum of the seventh number and seventh last element is;
7 + 5 = 12
The sum of the eighth number and eighth last element is;
8 + 4 =12
The sum of the ninth number and ninth last element is;
9 + 3 = 12
The sum of the tenth number and tenth last element is;
10 + 2 = 12
The sum of the eleventh number and eleventh last element is;
11 + 1 = 12
Hence, yes you put the digits 1 to 11 in the circles so that every line has the same total.
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When Wyatt commutes to work, the amount of time it takes him to arrive is normally
distributed with a mean of 45 minutes and a standard deviation of 3 minutes. Using
the empirical rule, what percentage of his commrtes will be between 36 and 54
minutes?
Answer:
Step-by-step explanation:
Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:
36 = 45- 3 x 3
54 = 45 + 3 x 3
Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.
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Draw a tree diagram for three fair coins tossed together once.
a) Derive the sample space.
b) Find the probability of getting:
i) at least one head
ii) at most one tail
iii) exactly three heads.
Answer:
I have attached a picture with the work to your question.
Please see the attachment below.
I hope this helps.
Question 1 (1 point)
Identify the slope and y-intercept.
y = -4x - 2
m = -2, b = -4
b
m = 4, b = 2
m = -4. b = 2
m= -4, b= -2
Answer:
m = - 4, b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = - 4x - 2 ← is in slope- intercept form
with m = - 4 and b = - 2
Three coins are flipped.
a)
How many possible outcomes are there?
b)
What is the possibility of getting no heads?
c)
What is the probability of getting at least 2 tails?
I'm kinda stuck. plz help
Answer:
ooooh Mthswath again. a=8 b=1/8 c=4/8 or 1/2
Step-by-step explanation:
a= there are 8 outcomes you can multiply the outcomes. 2×2×2=8
b= (i don't want to insert a picture again, as I already did for the last one you asked) So it is 1/8
c= Again, list out all the possibilities and you will find there are 4 with at least 2 tails or simplify it, 1/2
The diameter of a basketball is 9.39 inches. Which is closest to the number of square inches of material used in constructing a basketball?
Answer:
Area, [tex]A=69.21\ \text{inches}^2[/tex]
Step-by-step explanation:
We have,
The diameter of a basketball is 9.39 inches.
It is required to find the number of square inches of material used in constructing a basketball. It means we need to find the area of basketball. It is given by :
[tex]A=\pi r^2[/tex]
r is radius of basketball, r = 4.695 inches
So,
[tex]A=3.14\times (4.695)^2\\\\A=69.21\ \text{inches}^2[/tex]
So, the area of the basketball is [tex]69.21\ \text{inches}^2[/tex].
Factor the monomial for 27n^2o
Which expression is equivalent to -3 1/8 minus 2 1/2
Answer:
-5 5/8
Step-by-step explanation:
A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.
I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.
Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!
Find the solution to x^2=64
Answer:
[tex] \boxed{x = 8} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]
what is 4 raised to the third power
Answer:
4³=64
Step-by-step explanation:
A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.
Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).
》 4×4×4=64
Please help asap!!!!!!!!!!!!!!!!
Answer: ok what do you need help with
Step-by-step explanation:
10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *
Answer:
$9
Step-by-step explanation:
Let's make the price of toilet paper x, and the clorox wipes y. We can then use the given information to create a system of equations.
Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!
2x+4y=36 (1)
x+3y=27 (2)
2x+6y=54 (3) (i just mutiplied (2) by 2 so that i could eliminate x)
2y=18 (3)-(1)
y= $9/pack