Answer: [tex]y^2-100.[/tex]
Step-by-step explanation:
if we have a square with sides 'y' units,
then, its breadth = length = y
If we add 10 to one side it will become (y+10) (longer one) and subtract 10 from another, then it will become (y-10) (shorter one).
Area of rectangle = breadth x length
So, area of rectangle [tex]= (y+10)(y-10)[/tex]
[tex]= y^2-10^2=y^2-100\ \ \ \ \ [(a-b)(a+b)=a^2-b^2][/tex]
Hence, the new area as a polynomial = [tex]y^2-100.[/tex]
Factor the trinomial 3x^2+14x+15
Answer:
(3x+5)(x+3)
Step-by-step explanation:
3x^2+14x+15
SIMPLIFY INTO COMMON FACTOR
3x^2+9x+5x+15
FACTOR OUT DISTRIBUTION
3x(x+3)+5(x+3)
(3x+5)(x+3)
What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. plse be QUICK
Answer:
1135.38
Step-by-step explanation:
Original amount = 1015;
First decrease = 6%
Followed by an increase = 19%
Unknown:
Final amount:
Solution:
If 100% of a value implies multiplying by 1;
6% decrease = 0.94
19% increase = 1.19
Now;
Final amount = 1015 x 0.94 x 1.19 = 1135.38
Is 24 more then 40%? Why?
Answer: it isn’t possible to compare.
Step-by-step explanation:
Percents represent parts of something, and 24 is an actual number.
If a video game was 10% off and the amount of the discount was $6 what was the original price?
Answer: the original price was $60! <3
Step-by-step explanation:
3125x=−62 value of x.
Answer:
x= -0.01984
Step-by-step explanation:
You divide both sides by 3125 to get x alone.
You get x=-0.01984
Hope this helps!
a line passes through 8,-8 and has a slope of -5/4, write an equation in slope intercept form for this line
Answer:
y = -1.25x +2
Step-by-step explanation:
Using Point-Slope formula we can create an equations.
y - y1 = m(x - x1)
substitute:
y + 8 =-5/4(x - 8)
-5/4 = -1.25
y + 8 = -1.25 ( x - 8)
Distribute:
y + 8 = -1.25x + 10
subtract 8 from both sides:
y = 1.25x + 2
Hope this helps!
If correct will mark brainliest!!!!!
Answer:
Step-by-step explanation:
1 - right triangle
2 - Acute triangle
3 - Acute triangle
4 - Obtuse triangle
5 - Acute triangle
Answer:
1. right
2. obtuse
3. acute
4. obtuse
5. acute
Step-by-step explanation:
Solve: -9/10 + p = 1/5
Answer:
p=11/10
Step-by-step explanation:
Answer:
p=-55
Step-by-step explanation:
Simplify the expression
(-a)^-18
Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
Answer:
It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.
4x−2(3x−4)+4=−x+3(x+1)+1
Step 1: Simplify both sides of the equation.
4x−2(3x−4)+4=−x+3(x+1)+1
4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)
4x+−6x+8+4=−x+3x+3+1
(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)
−2x+12=2x+4
−2x+12=2x+4
Step 2: Subtract 2x from both sides.
−2x+12−2x=2x+4−2x
−4x+12=4
Step 3: Subtract 12 from both sides.
−4x+12−12=4−12
−4x=−8
Step 4: Divide both sides by -4.
−4x−4=−8−4
x=2
Answer:
x=2
Answer:
it is in order to combine like terms on one side of the equation, the inverse operations must be used
Step-by-step explanation:
trust me I took it on edge
Can somebody help me with this please?
its an eqilateral triangle. they are always “positioned” at 180 degrees.
Can someone help me with geometry??
Answer:
B
Step-by-step explanation:
67,132 divided by 7= ?
Round your answer to the nearest tenth.
Answer:
DONE!
Step-by-step explanation:
67132/7 = 9590.28571429
Rounded to the nearest tenth: 9590.3
Answer:
9590.3
Step-by-step explanation:
finally got to answer lol
A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of 18 frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?
Answer:
$0.11 per frozen fish stick
Step-by-step explanation:
If a package of 18 fish sticks cost $1.95, to find the cost per frozen fish stick you need to divide $1.95 by 18
$1.95 / 18 frozen fish stick = $0.108 or $0.11 per frozen fish stick
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Hi please answer urgently
Answer:
5+6=11
So,the probability to get 11 is 5+6
Step-by-step explanation:
Answer:
5 + 6 = 11
Step-by-step explanation:
a dice contains 6 numbers
1, 2, 3, 4, 5 and 6
Peter rolls 2 fair dice and adds the results from each.
So, 5 + 6 = 11
in fraction = 2/11
-TheUnknownScientist
For the function F defined by F(x)=x2−2x+4, find F(−2).
Answer:
F(-2) = 12
Step-by-step explanation:
F(-2) = (-2)²- 2(-2) + 4
= 4 - (-4) + 4
= 4 + 4 + 4
= 12
The required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
A quadratic function is given F(x) = x² − 2x + 4, value of the function is to be determined at x = -2.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
F(x) = x² − 2x + 4
Above given function is a quadratic function,
in order to find F(-2) , we have to put x = -2 in above given function.
F( -2 ) = ( -2 )² − 2( -2 ) + 4
F( -2 ) = 4 + 4 + 4
F( -2 ) = 16
Thus, the required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
Learn more about polynomial function here:
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4. Given that a * b = ab- evaluate
(4marks)
(i) 4*8
(ii) 2* (4 * 8)
Answer:
(i) 4*8 = 32
(ii) 2* (4 * 8) = 64
Step-by-step explanation:
(i) 4*8
4 × 8 = 32
(ii) 2* (4 * 8)
2 × (4 × 8)
2 × (32)
2 × 32 = 64
-TheUnknownScientist
Answer:
(i) 4*8 = 32
(ii) 2(4*8) = 2*32 = 64
Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
I am going to assume that the equation was supposed to be [tex]9y^{5}[/tex][tex]-10y^{3}[/tex]
Answer:
It is a polynomial. It is a binomial and it has a degree of 5.
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so [tex]9y^{5}[/tex][tex]-10y^{3}[/tex] will be considered a polynomial.
A binomial is a polynomial with 2 terms.
The degree of a polynomial is the highest exponent in it which in this equation is 5.
Just answer the question okay please don’t play with me rn.
And I know y’all like to give random answers for the points...pls don’t. I’ll make brainlest if you include explanation
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{m \angle \: abc \: = 35 \degree}}}}[/tex]
Option C is the best choice.
Step-by-step explanation:
✺ First , Let's know about Corresponding angles :
A pair of interior and exterior angles which lies to the same side of a transversal.Remember that the corresponding angles are always equal.The easiest way to think of corresponding angles is the 'F - Pattern'.✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.
[tex] \sf{x = 3x - 70\: ( \: being \: corresponding \: angles})[/tex]
[tex] \longrightarrow{ \sf{x - 3x = - 70}}[/tex] { Move 3x to left hand side and change it's sign )
[tex] \longrightarrow{ \sf{ - 2x = - 70}}[/tex] { Combine like terms }
[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 70}{ - 2} }}[/tex] { Divide both sides by -2 }
[tex] \longrightarrow{ \sf{x = 35}}[/tex]
The value of x is 35°
Now, As we are asked to find the value of m [tex] \angle[/tex] ABC , replace the value of x :
[tex] \sf{m \angle \: ABC \: = (3x - 70) \degree}[/tex]
[tex] \dashrightarrow{ \sf{(3 \times 35 - 70) \degree}}[/tex]
[tex] \dashrightarrow{ \sf{(105 - 70) \degree}} [/tex]
[tex] \longrightarrow{ \boxed{ \sf{35 \degree}}}[/tex]
Therefore , m [tex] \angle[/tex] ABC = 35°
And we're done !
Hope I helped!
Best regards! :)
~TheAnimeGirl
evaluate the expression for the give value of the variable.
3d — 4
d = 1.2
HELP ME ASAP PLEASSSSE?!?!
What is the measure of A?
Answer:
D. 50
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
180-130=50
Filipa practiced her trumpet today for 0.3 hours. What is the fraction equivalent to 0.3?
Answer:
3/10 I hope this helps
Step-by-step explanation:
The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.
Answer:
44 and 46Step-by-step explanation:
Let the integers be:
n and n + 2Then we have:
n + n + 2 = 3(n + 2) - 48Solving for n:
2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44So the numbers are 44 and 46
Three friends grow groups of sunflowers.
Some think that Anna’s flowers are the tallest because the mean height of her flowers is the greatest.
Others think Anna’s flowers are the shortest because the median height of her flowers is the least.
The plots show the heights for each friend’s flowers.
Which is the most likely plot for Anna’s flowers?
Step-by-step explanation:
es la numero 3
Answer:
Option 3 is the most common plot for Anna’s flowers
A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as shown.If the ratios $9:\text{S}$ and $\text{S}:\text{T}$ are both equal to 3 and $\text{S}$ and $\text{T}$ are the side lengths of the shaded squares, what is the total shaded area?
Answer:
[tex]3\sqrt{3} + 72[/tex]
Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:
[tex]9 \times 8 = 72ft^{2}[/tex]
It remains the area of the shaded square with side S.
From the question, we have the following ratio:
[tex]\frac{9}{S} = \frac{S}{T}[\tex]
But
[tex]\frac{9}{S} = \frac{S}{3}[\tex]
Multiplying through by 3S we have
27 = S² and this gives:
[tex]S = \sqrt{27} = 3\sqrt{3}[/tex]
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is [tex]3\sqrt{3}[/tex]
Therefore, the total area of the shaded squares is
[tex]3\sqrt{3} + 72[/tex]
Answer:
17
Step-by-step explanation:
We are given that [tex]$\frac{9}{\text{S}}=\frac{\text{S}}{\text{T}}=3.$\[\frac{9}{\text{S}}=3\][/tex]gives us S=3, so[tex]\[\frac{\text{S}}{\text{T}}=3\][/tex]gives us T=1. There are 8 shaded squares with side length [tex]$\text{T}$[/tex] and there is 1 shaded square with side length [tex]$\text{S},$[/tex] so the total shaded area is [tex]$8\cdot(1\cdot1)+1\cdot(3\cdot3)=8+9=\boxed{17}.$[/tex]
Problema 1: Para llegar a su colegio, Sergio Alejandro debe dar 560 pasos. ¿Cuántos minutos demorará en llegar, si da un par de pasos en la cuarta parte de medio minuto?
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!
Step-by-step explanation:
Which is the graph of the function f(x) = 1/2x2+2x-6?
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
Learn more about plotting graph of a function here
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7(1 - x) = -3(x - 2)
Answer:
the answer is x= 1/4 :D .....
Answer: bro its x=1 over 4
Step-by-step explanation:
Which is the graph of f(x)
= 4(1/2)x?
PLEASE HELP ME
Answer:
[tex]4 (\frac{1}{2} )x \\ = 2x[/tex]
hopefully can help
can someone please help me .. will mark brainliest !
Answer:
a
Step-by-step explanation:
i don't really know just Draco told me i should answer this