Answer:
7/8
Step-by-step explanation:
1. Make 1 9/8 into an improper fraction
1 = 8/8
8/8 + 9/8 = 17/8
2. Subtract
17/8 - 11/8 = 7/8
Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me
Answer:
x = 1, x = 2, x = 3
Step-by-step explanation:
Hello, please consider the following.
[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]
So we need to solve:
[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]
So, the solutions are x = 2, x = 1, x = 3
Thank you
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.
Answer:
the perimeter of ΔABC is 32in
Step-by-step explanation:
We know that intersection point of the angle bisectors refers to the incenter of the triangle,.
Given tmthe radius of 4inch for the centre of the incircle.
One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value
In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as
d = 1/2(a +b -c)
And a, b, c represent lengths of the sides
We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the
distance from the right-angle vertex C to the incircle touchpoints .
We can determine the sum a+b as
4 = (1/2)(a+b -12) .
4/(1/2)= (a+b -12)
8= (a+b -12)
20=a+b
Which is the addition of length of the two legs of the triangle.
We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.
perimeter = 20 in + 12 in = 32 in
Therefore, the perimeter of ΔABC is 32in
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
3 x 19 x 14 + 18 ÷ 2
Answer:
807Step-by-step explanation:
[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]
[tex] = 807[/tex]
Answer:
408
Step-by-step explanation:
3x19= 57
57x14= 798
798 + 18= 816
816/ 2= 408
A circle has center D and passes through the points F and G. Which of the following is the name of this circle?
Answer:
Circle D
Step-by-step explanation:
The answer is Circle D
Let f (x) = x – 4 and g(x) = 6 - x
Evaluate g(f(10)).
G(f(10))
First solve f(x) by replacing x with 10:
F(x) = x-4 = 10-4 = 6
Now replace x in g(x) with 6
G(x) = 6-x = 6-6 = 0
So g(f(10)) = 0
Convert 1.2 radians to an
angle in degrees
Answer:
Below
Step-by-step explanation:
Let x be the measure in degrees
● x/180 = 1.2/Pi
Cross multiply the values
● x*Pi = 180×1.2
● x = 216/Pi
Take Pi = 3.14
● x = 68.78 wich is approximatively 69°
How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
Combine like terms to simplify the expression: -5.55-8.55c+4.35c
Answer:
-5.55 - 4.2c
Step-by-step explanation:
-5.55 - 8.55c + 4.35c
'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.
Combine:
-5.55 - 8.55c + 4.35c
-8.55 + 4.35 = -4.2-5.55 - 4.2c
Hope this helps.
Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar
Answer:
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Step-by-step explanation:
La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:
[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]
[tex]x = \frac{56\,manzanas}{7}[/tex]
[tex]x = 8\,manzanas[/tex]
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6
[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]
A.) 170
B.) 300
C.)280
D.)155
Please help me
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]
which simplifies down a bit to
[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to
[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
A
Find the value of x. Your answer must be exact.
30
9
Answer:
x = 9√3Step-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use tan
tan∅ = opposite/ adjacent
From the question
The opposite is 9
The adjacent is x
Substitute the values into the above formula
That's
[tex] \tan(30) = \frac{9}{x} [/tex]
[tex]x \tan(30) = 9[/tex]
Divide both sides by tan 30
[tex]x = \frac{9}{ \tan(30) } [/tex]
We have the final answer as
x = 9√3Hope this helps you
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
Which expression is equivalent 6+7n+4+8n?
Answer: 5(2+3n)
Step-by-step explanation:
Answer:
15n + 10 should be your answer.
Step-by-step explanation:
Find the area of the shape shown below.
9.0
3.5
2
5
2.
units
Answer:
[tex] \boxed{42.5 \: {units}^{2} }[/tex]Step-by-step explanation:
The shape could be divided into a rectangle and a trapezoid ( bottom part )
Let's find the area of the given shape:
Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]
plug the values
[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]
[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]
[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]
[tex] \mathsf{ = 31.5 + 11}[/tex]
[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]
Hope I helped!
Best regards!
solve for x 3x - 4 = 3x - 10
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)
If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.
A. 9 B. 8 C. 7 D. 5
So our set of numbers is 5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5 does equal 7 so therefore A is your answer
multiply 2x^2-4x 6c^2-5x
Answer:
a
Step-by-step explanation:
2x^2-4x 6x^2-5x
2x^2 times 6x^2= 12x^4
2x^2 times -5x= -10x^3
-4x times 6x^2= -24x^3
-4x times -5x= 20x^2
12x^4-10x^3-24x^3+20x^2
12x^4-34x^3+20x^2
(Also Brainliest if this helps pls)
f(x) = -7x^2+8x+2f(x)=−7x 2 +8x+2
Answer:5
Step-by-step explanation:
what is the value of the angle ?
Answer:
47°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
124° is an exterior angle , thus
77 + ? = 124 ( subtract 77 from both sides )
? = 47°
WILL GIVE BRAINLIEST!!!
Answer:
2 x^2 sqrt(13)
Step-by-step explanation:
sqrt( 52x^4)
sqrt( 4*13 * x^2 * x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)
2 sqrt(13) x*x
2 x^2 sqrt(13)
52|2
26|2
13|13
1
[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]
To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?
Answer:
1 pint
Step-by-step explanation:
You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.
Answer:
1 pint
Step-by-step explanation:
12c=4p
divide both sides by 4
3 cookies needs 1 pint!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
complete the square to solve
f(x)=x^2+6x-7
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?
Answer:
8.94~9.0
Step-by-step explanation:
If A squared plus B squared equals C squared. Then you can used this formula and find that 4 squared plus 8 squared equals 80. then square root 80 to find 8.94 or rounded to 9. This would equal C or the hypotenuse. Hope this helps!
The required length of the hypotenuse of the triangle is 16√5.
Given that,
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.
Here,
Applying the Pythagorean theorem,
Hypotenuse² = perpendicula² + base²
Hypotenuse² = 8² + 4²
Hypotenuse² = 64 + 16
Hypotenuse² = 80
Hypotenuse = √80
Hypotenuse = 16√5
Thus, the required length of the hypotenuse of the triangle is 16√5.
Learn more about Pythagorean triplets here:
https://brainly.com/question/10174253
#SPJ2
I need Help please answer :((
Answer:
Second option is the correct answer
[tex] {3}^{ - 4} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 8} . {3}^{4} = {3}^{ - 8 + 4} = {3}^{ - 4} [/tex]
Answer:
The answer is D because you multiply the exponents so -8 times 4 is -32
Hope this helps and plz mark branliest!
Step-by-step explanation:
(2a-b)2-(a-2b)2 factorial
Hello, we know that for a and b real numbers
[tex]a^2-b^2=(a-b)(a+b)[/tex]
So,
[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]
Thank you.
20 points! Thank you :)
Answer:
[tex]\Large \boxed{x=-2 \ \mathrm{and} \ x=3}[/tex]
Step-by-step explanation:
The quadratic expression is given.
[tex]2x^2-2x-12=0[/tex]
Factor the left side of the equation.
[tex]2(x+2)(x-3)=0[/tex]
Set the factors equal to 0.
[tex]x+2=0[/tex]
[tex]x=-2[/tex]
[tex]x-3=0[/tex]
[tex]x=3[/tex]
The two solutions work in the original equation. The solutions make the equation true.
The quadratic expression:
[tex]2 {x}^{2} - 2x - 12[/tex]
★ By split middle term,we get
[tex]2 {x}^{2} - 6x + 4x - 12[/tex]
[tex]2x(x - 3) + 4( x - 3)[/tex]
[tex](2x + 4) (x - 3)[/tex]
[tex]2x + 4 = 0 \: \: and \: \: x - 3 = 0[/tex]
[tex]2 x = - 4 \: \: and \: \: x = 3[/tex]
[tex]x = - 2 \: \: and \: \: x = 3[/tex]
Therefore , the two solution of given quadratic equations is -2 and 3.
|10-11| = simplify the expression
Answer:
1
Step-by-step explanation:
Let's ignore the absolute value signs for a moment.
We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.
However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.
-1 as a positive number is +1, or just 1.
Hope this helped!
When using ANOVA, the sum of squares within is: Group of answer choices Showing the difference between the groups Effect variance Error variance Showing the differences caused by the independent variable
Answer:
When using ANOVA, the sum of squares within is: Showing the difference between the Total SS and Between SS known as Error variance
Step-by-step explanation:
Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares
with the given degrees of freedom.
Within SS = Total SS - Between SS
Where
Total SS= ∑∑X²- C. F
Between SS= ∑T²j/r - C.F
Correction Factor = CF = Tj²/n
So the correct answer would be
Showing the difference between the Total SS and Between SS also known as Error variance.