12. 5x² - 180 = 0
5x² = 0 + 180
5x² = 180
x² = 180/5
x² = 36
x = √36
x = 6
13. 3x² - 100 = 332
3x² = 332 + 100
3x² = 432
x² = 432/3
x² = 144
x = √144
x = 12
14. ⅔x² - 8 = 16
⅔x² = 16 + 8
⅔x² = 24
2x² = 24 × 3
2x² = 72
x² = 72/2
x² = 36
x = √36
x = 6
15. ½x² - 5 = 5
½x² = 5 + 5
½x² = 10
x² = 10 × 2
x² = 20
x = √20
16. x² + 1 = 3x² - 13
1 + 13 = 3x² - x²
14 = 2x²
14/2 = x²
7 = x²
√7 = x
17. 2(x² + 4) = 10
2x² + 8 = 10
2x² = 10 - 8
2x² = 2
x² = 2/2
x² = 1
x = √1
x = 1
18. 3(x² - 1) = 9
3x² - 3 = 9
3x² = 9 + 3
3x² = 12
x² = 12/3
x² = 4
x = √4
x = 2
19. 2(x + 3)² = 8
2(x² + 3² + 2×x×3) = 8
2(x² + 9 + 6x) = 8
2x² + 18 + 12x = 8
2x² + 12x = 8 - 18
2x² + 12x = -10
2(x² + 6x) = -10
x² + 6x = -10/2
x(x + 6) = -5
x + 6 = -5/x
6 = -5/x - x
6 = -5/x - x²/x
6 = (-5 -x²)/x
6x = -5 - x²
How can you tell if an expression is a monomial , binomial or trinomial?
Answer:
Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.
I hope this helps!
Simplify.
√3(√6+√15)
The required simplified solution of the given expression is (√2 + √5).
Given that, to simplify the expression √3(√6+√15).
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)
Thus, the required simplified solution of the given expression is (√2 + √5).
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y= 3x + 2 and y= 3x -3. These lines are...
parallel
perpendicular
neither
The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of the lines:
y = 3x + 2 and y = 3x - 3
The slope of the line:
y = 3x + 2
y = mx + c
m = 3
The slope of the line:
y = 3x - 3
y = MX + C
M = 3
m = M
The slopes of the line are the same.
Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.
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Please help :( please
Answer:
1. $6.88
2. 16 oz box
3. 5 dollars if u were to buy the 11 pound I think
Step-by-step explanation:
1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88
2. cheaper for more
Solve for x
4x + 8 = 6x – 1
Answer:
x = 9/2
Step-by-step explanation:
4x + 8 = 6x - 1
4x - 6x = - 1 - 8
-2x = -9
2x = 9
x = 9÷2
x = 9/2
-TheUnknownScientist
Hi can someone please help me with my math work?
Answer:
Integers are 7, 8, 9
Step-by-step explanation:
Let three positive consecutive integers are (n - 1), n, (n + 1)
If the product of the second and the third integer is 72,
n(n + 1) = 72
n² + n = 72
n² + n - 72 = 0
n² + 9n - 8n - 72 = 0
n(n + 9) - 8(n + 9) = 0
(n - 8)(n + 9) = 0
(n - 8) = 0 ⇒ n = 8
(n + 9) = 0 ⇒ n = -9
For n = 8,
Integers will be ⇒ 7, 8, 9
For n = -9,
Integers will be ⇒ -10, -9, -8
Since, all integers are positive,
7, 8, 9 will be the answer.
What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?
9514 1404 393
Answer:
y = -3x +26
Step-by-step explanation:
We assume the given line is ...
y = -3x +5
This is in slope-intercept form:
y = mx +b
where m = -3 and b = 5.
The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...
y = -3x +b
We can find the value of b using the given point:
8 = -3(6) +b
26 = b . . . . . . add 18
So, the equation of the parallel line through (6, 8) is ...
y = -3x +26
a regular pentagon and an equilateral triangle have the same perimeter...........
(Please don't answer with anything that doesn't relate to it, such as no mimicking please i beg you)
I only have 1 hour before class help please
Answer:
Option 4: 45 units is the correct answer
Step-by-step explanation:
Let [tex]P_1[/tex] be the perimeter of Pentagon and
Let P2 be the perimeter of Triangle
So,
[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]
In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.
So,
[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]
Putting x = 20 in 2nd perimeter
[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]
As both the perimeters are same, the perimeter of pentagon will also be 45 units.
Hence,
Option 4: 45 units is the correct answer
write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13). y=
Answer:
y= -[tex]\frac{3}{5}[/tex]x+16
Step-by-step explanation:
[tex]\frac{19-13}{-5-5}[/tex]
-[tex]\frac{6}{10}[/tex]
-[tex]\frac{3}{5}[/tex]=slope
13=-[tex]\frac{3}{5}[/tex](5)+C
13=-3+C
16=C=y intercept
can someone help with explanation what is 2+√12/√27
Answer:
Step-by-step explanation:
Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.
What is the amount of tax for Akio's purchases?
Enter your answer in the box
Answer:
$0.76
Step-by-step explanation:
3.79+2.57+5.8=12.16
12.16 x 0.0625=0.76
To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.
Answer:
is o.76
Step-by-step explanation:
I took the quiz
what up dogs need help geting 3 more golden crowns to level up to be an expert level please can yall help me
Answer:
Well all you have to do is answer questions, i have 2 hundred more points until I'm an expert but i have 20 brainliests!
Step-by-step explanation:
Answer:
I can help you, In a few minutes I may post some questions so I'll let you answer em- the thing is, two people need to answer for me to give brainliest so itll take a bit.
Step-by-step explanation:
Mind answering some stuff I have in the meantime?
Alright I know what your all thinking the answer is 2, but it says I’m wrong. Am I doing something wrong?
Answer:
3.75
Step-by-step explanation:
Follow PEMDAS
P = parentheses so first it will turn to 30 divided by 3 times 5
E = exponents we dont have any
M = multiplication 30 divided by 8
D = division = 3.75
Pleas answer part A!!!!!!
Answer:
y=120x
Step-by-step explanation:
You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x
What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
The volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
What is volume of hemisphere?The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
What is volume of cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.
Volume of cuboid = Length × Width × Height
Given
Radius of hemisphere r = 3
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]
= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]
= 56.52 [tex]cm^{3}[/tex]
Volume of cuboid V2 = Length × Width × Height
= 10 × 8 × 4
= 320 [tex]cm^{3}[/tex]
The volume of the composite figure V = V1 + V2
V = 56.52 + 320
V = 376.52 [tex]cm^{3}[/tex]
Hence, the volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
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x + y = 4.25
16.90x + 4y = 36.35
Answer:
x=1.5 y=2.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
use the first equation to solve the second equation
y = 4.25 - x
16.90x + 4(4.25 -x) = 36.35
16.90x + 17 - 4x = 36.35
12.90x = 19.35
x = 1.5
y = 4.25-1.5
y= 2.75
x=1.50
y=2.75
Find the equation of the line through (0,-2) and (4, 18).
Let me = slope
m = (18 - (-2))/(4 - 0)
m = 20/4
m = 5
We now plug slope 5 and one of the given points into the point-slope formula.
y - y_1 = m(x - x_1)
y - 18 = 5(x - 4)
y - 18 = 5x - 20
y = 5x - 20 + 18
y = 5x - 2
Done!
Twice a number increased by 1 is -11. Find the number.
Answer:
x=-6
Step-by-step explanation:
Twice mean multiply by 2
and twice a number is 2x (If you let x be the "number")
increase means adding by
increase by 1 is adding by 1
Is means =
is -11 is
=-11
now that we have all the things we add it up
Wice a number increased by 1 is -11:
2x+1=-11
Now you move the 1 to the other side by subtracting by 1 on both sides:
2x+1-1=-11-1
Simplify:
2x=-12
divide both sides by 2:
x=-6
Hope this helps!
Which one is correct? Please hurry :)
Answer:
b: 3 cm
Step-by-step explanation:
just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.
Can someone please help fr.
Answer:
IM LOOKING FOR THE ANSWER TO LOL
Step-by-step explanation:
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
Million dollar bussyy jk help
Answer:
2. 2
3. 4
4. 3/4
5. 5/12
6. 6
7. 1/2
how do you solve the problem 2x+3y=25,4x-y=15 for substitution
Answer:
X=5 Y=5
Step-by-step explanation:
Find the slope (-3,10) (-3,7)
Answer:
Undefined because the x values are the same
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
Slope: 7 - 10 / -3 - - 3
Slope: -3 / -3 + 3
Slope: -3 / 0
Slope: undefined
I need help on the first question please will mark brainiest
Answer:
D. [tex]2^{18}[/tex]
Step-by-step explanation:
The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]
For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:
6 * 3 = 18
Now the expression looks like this: [tex]2^{18}[/tex] * [tex]2^{0}[/tex]
Any number to the power of zero is 1.
So the equation now looks like this: [tex]2^{18}[/tex] * 1
After you multiply the two terms, you end up with [tex]2^{18}[/tex].
Answer:
The answer is D 2^18
Step-by-step explanation:
Solve 2a² and 3b²-c³ if A=3 ,B=2 ,C=1
please help me answer it
Answer:
Yes, I think. I could be wrong but hopefully not!
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.
What is the least common multiple of 25, 10 and 30?
Answer:
The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.
Answer:
150
Step-by-step explanation:
25*6=150
10*15=150
30*5=150
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box
Answer:
m = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points given from the graph.
Point (0, 2)
Point (7, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-2}{7-0}[/tex]Subtract: [tex]m=\frac{0}{7}[/tex]Divide: [tex]m=0[/tex]Any horizontal line will have a slope of 0.
And we have our final answer!
Please help me with this question.... please