Answer:
C. 2(2x + 3)(2x - 3)
Step-by-step explanation:
[tex]8 {x}^{2} - 18 \\ = 2 \times 4 {x}^{2} - 2 \times 9 \\ = 2(4 {x}^{2} - 9) \\ = 2 \{( {2x})^{2} - ( {3)}^{2} \} \\ = 2(2x + 3)(2x - 3) \\ [/tex]
Final answer:
The expression 8x² - 18 is factored by first taking out the common factor of 2, and then applying the difference of squares formula to get the fully factored form, 2(2x + 3)(2x - 3). Option C is accurate.
Explanation:
To factor the expression 8x² - 18, we need to first take out the common factor. Here, we can see that both terms are multiples of 2. Thus, we can factor out a 2, which gives us:
2(4x² - 9)
Now, we recognize that the expression inside the parentheses is a difference of squares because 4x² is (2x)² and 9 is 32. A difference of squares can be factored into:
(a² - b²) = (a + b)(a - b)
Applying this to our expression, we get:
2((2x) + 3)((2x) - 3)
Hence, the fully factored form of the expression 8x² - 18 is:
2(2x + 3)(2x - 3) (Option C)
f(x)=0.2(x-2)(x+1)(x-5) determine end behavior
Answer:
Step-by-step explanation:
Write an equation of the line that passes through the points (0,4) and (2,10).
Answer:
First you find the slope:
(10-4)/2 = 6/2 = 3
Then you write a point-slope equation:
y-4=3x
in slope-intercept form:
y=3x+4
Answer:
The equation of the line is y = 3x + 4.
Step-by-step explanation:
First find the slope of the line:
Slope (m) = rise / run
= difference in y coordinates / difference in corresponding x coordinates
= (10-4) / (2 - 0)
= 6/2
= 3..
The line is written as
y = m x + b
We have just found m (= 3). Now we find the value of b by substituting the point (0, 4) into this equation.
4 = 3(0) + b
b = 4.
So the required equation is y = 3x + 4.
John has a circular pool that has a radius of 7 feet. What is the area of his pool? Please use the formula sheet to assist you with this question. Question 3 options: 49.6 ft squared 153.86 ft squared 43.96 ft squared 615.44 ft squared
Answer:
153.86 square feet
Step-by-step explanation:
The formula for the area of a circle is A=πr2
area = pi x radius squared
the radius is 7 feet, square that to get 49
multiply 49 by pi to get the area: 153.86 square feet
Answer:
153,86 stóp kwadratowych
Step-by-step explanation:
True or false a circle could be circumscribed about the quadrilateral below
Answer: a: true
Step-by-step explanation:
Yes, a circle can be circumscribed in quadrilateral.
What is cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.
we know, If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.
In this case the opposite angles add upto 180 which shows that is it is a cyclic quadrilateral.
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Solve the system of equations using the substitution method y=2 and 2x+y=8
Answer:
x=3 y=2
Step-by-step explanation:
y=2
2x+y=8
Substitute y=2 into the second equation
2x+2=8
Subtract 2 from each side
2x+2-2=8-2
2x=6
Divide each side by 2
2x/2 =6/2
x=3
x=3 y=2
Simplify each as much as possible. Remember PEMDAS:
[tex]4(-3n-5)[/tex]
[tex]3-6k-9k[/tex]
[tex]6p+9p-8-7[/tex]
[tex]-2+3d-6+8d[/tex]
[tex]-4-7(-3+6n)[/tex]
[tex]4m-9(-7-5m)[/tex]
Please help on at least one!
The perimeter of a rectangular field is 312 m. If the length of the field is 91 m, what is its width?
If the Circumfernce of a circle is 25.1, please find: -The radius -The diameter -The area
Answer:
Radius = 1.997
Diameter = 3.993
Area = 12.549
Find the area of the shape shown below
Answer:
10
Step-by-step explanation:
one of them is 2
one of them is 4
one of them is 4
add them and it equals
Answer:
10
Step-by-step explanation:
formula for triangle 1: 2x2 divided by 2 (the area is 2)
formula for square: 2x2 (area is 4)
formula for triangle 2: 2x4 divided by 2(area is 4)
then you add everything
2+4+4= 10
Please somone helppppp
Answer:
its an open circle on -2 and the line is to the right
Step-by-step explanation:
-2x=4
x=4/-2=-2
and the sign is the same and its an open dot because its not greater too or equal to
Answer:
the answer is 8
I cant graph it for you sorry
Step-by-step explanation:
-2x>4
*2 *2
x = 8
Which equation is true if the perimeter of the rectangle is 60
Answer:
2 (x + 5) + 2 (3 x - 2) = 60 or answer C
Step-by-step explanation:
a driveway measuring 140 square feet is to be paved. Harry has an apprentice working for him and divides the job between the two of them so that the area he paved divided by the area his apprentice paved equals 3. find x, the area harry will pave
Answer:
Step-by-step explanation:
Th e answer would be 180
The area that Harry will pace 105 ft.²
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
If the area he paces divided by the area his apprentice paces equals three, then we can write it as;
J/a = 3
In ratio form,
J : a = 3 : 1
Where J. represent Harry and. a represent the apprentice. Hence,
Therefore, the area Harry will pace;
= ( 3/4) × 140 ft.²
= 105 ft.²
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Given two circles whose radio are 3” and 2”, the ratio of their areas is....what?
(Will mark as Brainliest)
Answer:
28.27 and 12.60
Step-by-step explanation:
Answer:
28.27 and 12.60
Step-by-step explanation:
Island Nautical Supply Co. is having a sale on kayaks, 20% off of the regular price. You found a super nice one that is regularly priced at $259.00. How much will it cost after the sale? (Show Work.)
A: $51.80
B: $239.00
C: $207.20
Answer:C
Step-by-step explanation:
Multiply 259 by .2 then subtract that number (51.8) from 259
Answer:
c
Step-by-step explanation:
you will divide 259.00 by 20%
The sum of the 8th element and the 12th element of an arithmetic progression
is 246. The sum of the 10th and the 14th element is 298. What is the value of
the 35th term?
Answer:
448
Step-by-step explanation:
aₙ = a₁ + (n-1)d
a₈ = a₁ + (8-1)d = a₁ + 7d
a₁₂ = a₁ + 11d
a₈ + a₁₂ = 246 = 2a₁ + 18d a₁ + 9d = 123
a₁₀ + a₁₄ = a₁ + 9d + a₁ + 13d = 298 a₁ + 11d = 149
2d = 26
d = 13
a₁ = 6
a₃₅ = 6 + (35-1) x 13 = 448
the cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water
Answer:
35 m³/s
Step-by-step explanation:
70/2 = 35 m³/sec
What is x in the equation please help.
Answer:
6
Step-by-step explanation:
vbgdfbgdf bbn bgdfjszvhy
Write the equation of the circle graphed below
Answer:
[tex](x-1)^2+(y+1)^2=0.25[/tex]
Step-by-step explanation:
From the given graph it is clear that the center of the circle is (1,-1) and the circle passing through the point (0.5,-1).
So, radius of the circle is
[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(0.5-1)^2+(-1-(-1))^2}[/tex]
[tex]r=\sqrt{(-0.5)^2}[/tex]
[tex]r=\sqrt{(0.5)^2}[/tex]
[tex]r=0.5[/tex]
The radius of the circle is 0.5 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of given circle is (1,-1) and radius is 0.5. So, the equation of circle is
[tex](x-(1))^2+(y-(-1))^2=(0.5)^2[/tex]
[tex](x-1)^2+(y+1)^2=0.25[/tex]
Therefore, the required equation is [tex](x-1)^2+(y+1)^2=0.25[/tex].
Which is the solution to the equation below? 9=n+3
Answer:
n= 6
Step-by-step explanation:
subtract 3 from both sides of the equation
it should wind up like this:
9-3=n+3-3
plus 3 and minus 3 cancel out, 9 minus 3 equals 6 so then the equation changes to this:
n= 6
2. Raquiem needs to know if the triangle shown is a right triangle. Which equation could he use to help? A.36+25=49 B.25+36-49 C.25 (to the power of two)+36(to the power of two)=40(to the power of two)
Answer:
C
Step-by-step explanation:
Because it uses the Pythagorean Theorem. (a squared plus b squared equals c squared)
2.0% of the mass of a 150g apple is sugar.
How much sugar is contained in I apple
The apple, weighing 150g, contains 2.0% sugar by mass. Calculating this percentage, we find out that the apple contains 3.0g of sugar.
Explanation:To find out how much sugar is contained in a 150g apple, where 2.0% of its mass is sugar, we use simple percentage calculations. We know that 1% of 150g is 1.5g (150/100), so 2.0% of 150g would be 2 times 1.5g, which comes to 3.0g. Thus, the apple contains 3.0g of sugar.
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Calculate Line AC showing working to 1dp
Answer:
18.1 cm
Step-by-step explanation:
Consider a segment parallel to CD and passing through B.
This segment will form a right-angle triangle with A
It's length would be equal to the length of CD (the missing length)
Height of that triangle:
11 - 4 = 7
CD² = 16² - 7²
CD² = 207
CD = sqrt(207)
AC² = AD² + CD²
AC² = 11² + 207
AC² = 328
AC = 2sqrt(82)
Which is roughly 18.1 cm
The school cafeteria has 19 round tables and 13 rectangular tables. Each round table has 3 chairs, and each rectangular table has 7 chairs. How many chairs are there in all?
WILLL GIVE BRAINLIST!!!
Answer:
148
Step-by-step explanation:
19 round tables
13 rectangular tables
19 x 3 = 57
13 x 7 = 91
57 + 91 = 148
Answer:
[tex]148 \: \: chairs[/tex]
Step-by-step explanation:
[tex]19 \times 3 = \: \: \: \: \: \: 57 \\ 13 \times 7 = + 91 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 148[/tex]
Identify the type of function.
y = (x-5)(x-2)
Answer:
Quadratic
Step-by-step explanation:
Twenty gremlins and fifteen imps are at the Annual Mischief Convention. The imps have had a lot of in-fighting lately and refuse to shake hands with each other, but they readily shake hands with all of the gremlins. Meanwhile, all the gremlins are quite friendly and shake hands with all of the other gremlins as well as imps. Each pair of creatures shakes hands at most once. How many handshakes were at the convention?
Answer:
490
Step-by-step explanation:
Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.
There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.
Adding these up, you have $300 + 190 = 490 total handshakes.
Hope this helps!
You drove 500 miles in 6 hours. Should you get a speeding ticket if the speed limit is 70 mph
Answer:
Yes, because you'd be going about 83 miles per hour.
Step-by-step explanation:
500 divided by 56
= 83.333
The tax rate is 6.8 what is the tax on $9.95
Answer:
6.77, about 68 cents.Step-by-step explanation:Factor in your givens:Tax rate = 6.8%
Total Currency = 9.95
Step 1:
68 / 100 = 0.68
Step 2:
0.68 * 9.95 = 6.766
I hope this helped!
If segment DE is a midsegment of △ABC,then how many meters is segment BC?
Answer:
BC = 12 m
Step-by-step explanation:
Since DE is a midsegment then it is one half the measure ot the third side BC, thus
BC = 2 × 6 = 12 m
Answer:
12
Any Twice stans btw??
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 1 < x < 5.
Answer:
180
Step-by-step explanation:
The average rate of change, in simplest form, of the function over the interval 1 < x < 5 is 18.
Find the average rate of change?The average rate of change is the change in the slope of the function, it is given by the formula,
[tex]\text{Average rate of change} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Given to us
y₂ = f(x₂) = 27
x₂ = 3
y₁ = f(x₁) = 9
x₁ = 2
Substitute the values in the formula,
[tex]\text{Average rate of change} = \dfrac{27-9}{3-2} = 18[/tex]
Hence, the average rate of change, in simplest form, of the function over the interval 1 < x < 5 is 18.
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I dont understand this please help
25y−4+7−910y =