use factoring to solve
3x^2-11x-6=0
Answer:
x = -0.62 and x = 4.29
These values are approximations !
Step-by-step explanation:
You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?
Anyway, to solve it, you can still use the ABC formula.
3x²-11x-6=0
a = 3
b =-11
c = -6
x = [11 + √{121 -4(3 *-6)} ]/ 2*3
x = [11 + √{121 -4(-24)} ]/ 6
x = [11 + √{121 + 96} ]/ 6
x = [11 + √{217} ]/ 6
x = 4.29 This is an approximation !
x = [11 - √{121 -4(3 *-6)} ]/ 2*3
x = [11 - √{121 -4(-24)} ]/ 6
x = [11 - √{121 + 96} ]/ 6
x = [11 - √{217} ]/ 6
x = -0.62 This is an approximation !
extra: see the graph.
Divide 8848 by 16(Show working)
Answer:
553
Step-by-step explanation:
5 5 3
---------------------
16 / 8 8 4 8
8 0
---------------
8 4
8 0
----------------
4 8
4 8
-----------
0
The quotient is 553.
4 8
----------
0
1. When simplified, 17a - 14b - 20a - 2b is equal to
Answer:
- 3a -16b
Step-by-step explanation:
This is the formula for the
area of a triangle. Solve the
equation for height, A
Answer: 2A/base = Height
Step-by-step explanation:
[tex]A=\frac{base*height}{2} \\2A=base*height\\\frac{2A}{base} =height[/tex]
help!!! ill mark brainliest!
Answer:
90
Step-by-step explanation:
My brother got that same question and he did it with his class
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!
Answer:
-6 =x
Step-by-step explanation:
g(x) = -3x -8
g(x) = 10
10 = -3x-8
Add 8 to each side
10+8 = -3x-8+8
18 = -3x
Divide by -3
18/-3 = -3x/-3
-6 =x
solve v=1/3 bh for b
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b
O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answers.
Answer:
mBCD = 28°
Step-by-step explanation:
The angle mBFD inscribes the arc mBD, so we have that:
mBFD = mBD/2
76 = mBD/2
mBD = 152°
The angle mBOD is a central angle related to the arc mBD, so we have that:
mBOD = mBD = 152°
In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.
So, we have that:
mBOD + mCDO + mBCD + mCBO = 360
152 + 90 + mBCD + 90 = 360
mBCD = 360 - 90 - 90 - 152
mBCD = 28°
x^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
Answer:
a). Center of the circle = (-2, 5)
b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Step-by-step explanation:
Equation of the circle is,
x² + 4x + y²- 10y + 20 = 30
a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30
[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30
(x + 2)² + (y - 5)²- 29 + 20 = 30
(x + 2)² + (y - 5)²- 9 = 30
(x + 2)² + (y - 5)² = 39
By comparing this equation with the standard equation of a circle,
Center of the circle is (-2, 5).
b). A point (2, 10) lies on this circle.
Slope of the line joining this point to the center (-2, 5),
[tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{10-5}{2+2}[/tex]
= [tex]\frac{5}{4}[/tex]
Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'
Then by the property of perpendicular lines,
[tex]m_{1}\times m_{2}=-1[/tex]
[tex]\frac{5}{4}\times m_{2}=-1[/tex]
[tex]m_{2}=-\frac{4}{5}[/tex]
Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]
y - y' = [tex]m_{2}(x-x')[/tex]
y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]
y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]
y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]
y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
The skirt was originally 24 dollars
Step-by-step explanation:
3/4 ( b+s) = 31.50
where b is the original price of the blouse and s is the original price of the skirt
b = 18
3/4 ( 18+s) = 31.50
Multiply each side by 4/3
4/3 * 3/4 ( 18+s) = 31.50 *4/3
18+s =42
Subtract 18 from each side
18+s-18 = 42-18
s =24
The skirt was originally 24 dollars
The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height
[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]
Answer:
[tex]20cm[/tex]
Step-by-step explanation:
[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What are the sums? Complete the equations.
-10 + 50
Answer:
40
Step-by-step explanation:
-10+50
40
Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.
Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
Simplify: x(x-2)-3x(2x-1)
Answer:
-5x^2 +x
Step-by-step explanation:
x(x-2)-3x(2x-1)
Distribute
x^2 -2x -6x^2 +3x
Combine like terms
-5x^2 +x
Answer:
x^2-2x-6x^2+3x
x^2+x-6x^2
-5x^2+x
Graph the Inequality.
Answer:
x ≤ -7
Step-by-step explanation:
There is a filled in circle which means that it is either ≤ or ≥.
The graph is going to the left, which means it is ≤
The starting number is -7.
x ≤ -7
A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
This would make a right triangle. Use the Pythagorean theorem to solve.
X = sqrt(14^2+ 3^2)
X = sqrt( 196 + 9)
X = sqrt(205)
X = 14.3178
Rounded = 14.3 miles
AEFG is located at E (0,0), F (-7, 4), and G (0,8). Which statement correctly classifies AEFG?
AEFG is a scalene triangle.
AEFG is an isosceles triangle.
AEFG is an equilateral triangle.
AEFG is a right triangle.
Answer:
ΔEFG is an isosceles triangle
Step-by-step explanation:
A rectangle has an area of 590.4m2
One of the sides is 8.2m in length.
Work out the perimeter of the rectangle.
Answer:
hope this helps you
If f(x)=x^2+1 and g(x) = x-4 which value is equivalent to (f•g)(10)
Charlie invests £1200 at 3.5% per annum compound interest.
Work out the value of Charlie's investment after 3 years.
Answer:
£1,330.46Step-by-step explanation:
Using the compound interest formula [tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
A = amount compounded after n years
P = principal (amount invested)
r = rate (in %)
t = time (in years)
n = time used to compound the money
Given P = £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)
[tex]A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46[/tex]
Value of Charlie's investment after 3 years is £1,330.46
Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
The 4 pack is priced at £2.04
cost of one pack will be equal total price divided by no. of roll in one pack
cost of one pack will be £2.04 /4 = £0.51
The 9 pack is priced at £4.68
cost of one pack will be £4.68 /9 = £0.52
As price per toilet roll for 4 pack is £0.51 which is less than
price per toilet roll for 9 pack which is £0.52
4 pack priced at £2.04 is better value deal.
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth Which is an integer that can be inserted on the blank line in the list?
Options
-2.5-2[tex]-1\dfrac{9}{10}[/tex]-1Answer:
(B) -2
Step-by-step explanation:
Given the list
[tex]-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15[/tex]
This list has been arranged in order from the least to the greatest.
We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.
An integer is defined as a positive or negative whole number.
Out of the given options, only -1 and -2 are integers. However:
-1 is greater than -1.5Therefore, it cannot be our result.
The correct answer is -2.
Answer:
-2 i did i what he said then revewied my quiz and it was right
Step-by-step explanation:
Does anyone know the answer ?
Answer:
Using Piragorean Theorem:
[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]
Answer:
[tex]\sqrt{149[/tex]
Step-by-step explanation:
7² + 10² = 12.21²
49 + 100 = 149
What is the equivalent trig ratio to sin 25?
Answer:
The answer is "[tex]\bold{\cos 65}[/tex]"
Step-by-step explanation:
Given:
[tex]\Rightarrow \bold{\sin 25}\\[/tex]
[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\frac{\sin 25}{1}[/tex]
[tex]\therefore \tan \theta = \frac{\sin \theta }{cos \theta}[/tex]
[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\cos (90-65)[/tex]
The answer is "[tex]\bold{\cos 65}[/tex]".
Alberto sanded a wooden floor with his electric sander at a constant rate. Suppose
1
3
he sanded 40 square feet of floor in hours. How large an area would he have
5
sanded in 1 hour?
Factorize the following expression ab-a-b+1
Group 'em together
a b − a + 1 − b
a b − a = a ( b − 1 )
Notice that there will be a 1 as without it it'll simply be ab
1 − b = 1 ( 1 − b )
Notice that it doesn't match with the upper one... so we'll change the signs
1 ( 1 − b ) = − 1 ( b− 1 )
(try to multiply them now!!
Jot them down in one expression
a ( b − 1 ) − 1 ( b − 1 )
You get!!!!!!
( a − 1 ) ( b − 1 )
which expression is equivalent to 4(5x+3y)?
Just number 4
Answer:
Answer choice 4
Step-by-step explanation:
4(5x+3y)
By distributive property, this can be rewritten as:
4(5x)+4(3y)=
20x+12y
or answer choice 4. Hope this helps!
Answer:
4) 20x+12y
Step-by-step explanation:
You have to use distivtive property
I hope this helps
Hosiste product of 2 and 5 shown on anumber ine?
[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Are AB→ and Ray −BA→ the same ray? Explain. both have an arrow pointing right over them}
Answer:
No
Step-by-step explanation:
No, they are not because ray AB starts at point A and continues forever while ray BA does the opposite, it starts at point B and continues forever.
Can someone pls help me solve this problem! I really need help ASAP! Plz help plz help!
Answer:
R=6
Step-by-step explanation:
T+R+A=100
T=88 A=6 R=?
88+R+6=100
Move known numbers to other side
R=6
