[tex] \: \: \: \: \: [/tex]
first add
(3a²-5a+5)+(a³-5a²+8)
=3a²-5a+5+a³-5a²+8
=a³-2a3a²-5a²+5+8
=a³-2a²+13
and now,
substract a³-2a²+13 from a²-4a²-9
=7a²-4a²-9-(a³+13)
=7a²-4a²-9-a³+2a²-13
= a³+7a²-4a²+2a²-9-13
=-a³+5a²-22
hope it helpsA parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
https://brainly.com/question/11637992
what is the perimeter of PRT?
Give your answer as just a number.
Step-by-step explanation:
PT=2QS = 2×8 = 16m
therefore perimeter of ∆PRT = 6+16+14 = 36m
hope this helps you.
When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
Original Equation
3x - 1 = 3
First Step 3x = 4
Answer:
no property
Step-by-step explanation:
Name the property used: no property
It takes 0.5 gallon of cream to make 1 pound of butter.
How much butter could you make with 0.25 gallons of cream?
Answer:
0.5 pounds of butter.
Explanation
X pounds for 0.25 gallons.
0.5 gallon of cream - 1 pound of butter
0.25 gallons of cream - X pounds of butter
Applying cross multiplication:
0.5X = 0.25
X = 0.25 over 0.5 or 0.25/0.5
X = 0.5
Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.
By the 0.25 gallons of cream, we can make 0.5 pounds of butter.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
It takes 0.5 gallons of cream to make 1 pound of butter.
So,
0.5 gallons of cream ⇒ 1 pound of butter
Divide both sides by 2
0.5/2 gallons of cream ⇒ 1/2 pound of butter
0.25 gallons of cream ⇒ 0.5 pounds of butter
Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".
For more information about ratio and proportion,
brainly.com/question/26974513
#SPJ2
9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?
Which of the following is most likely the next step in the series?
Define Equilateral, isosceles and scalene triangles.
Answer:
Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.
Step-by-step explanation:
i need answer please
Answer:
7
Step-by-step explanation:
48/6=8
56/8=7
Answer:
7
Step-by-step explanation:
the second triangle is 1/8 of the first so 56 divided by 8 is 7
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
i just forgot this like ;-;
Answer:
[tex] \boxed{\bf \dfrac{64}{729} }[/tex]
Hence,
[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]
Step-by-step explanation:
Given arithmetic expression is :-
[tex]\sf \longmapsto(2/3) {}^{6} [/tex]
This expression may be rewritten as :-
[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]
6 is the index and 2/3 is the base.
In words, this may be represented as 2/3 raised to the Power 6.
Let's calculate.
It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.
That is,
[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]
It will be represented as,
[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
On Simplification:-
[tex]\sf \longmapsto \dfrac{64}{729} [/tex]
In Decimal:-
[tex]\sf \longmapsto0.08(approx .)[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
OK LOLOLOL HOW DO I SHOW MY WORK
Answer:
Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*
Step-by-step explanation:
Lets use the elimination method which is ...
4x-3y=5
2x+7y=-8
Multiply the bottom part by -2
(-2)2x+(-2)7y=(-2)-8
which equals...
-4x-14y=16
Rewrite the equations
4x-3y=5
-4x-14y=16
Add and the x's cancel making..
-17y=21
Divide by -17 to isolate y
y=-1.23529411765
Replace y with -1.23529411765 on one of the equations
4x-3(-1.23529411765) =5
x=0.323529411763
solution : (0.323529411763, -1.23529411765)
There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn?
Answer: I think its 106 calories
Step-by-step explanation:
sorry if im wrong
Help Please Just solve the question below
How can I solve this?
Answer:
This is not possible with 2 equal symbols
help please???????????
Answer:
The answer is C. (a + -a = 0 )
Step-by-step explanation:
"The additive inverse of a number a is the number that, when added to a, yields zero"
=
If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.
Answer:
3x+4
Step-by-step explanation:
f(g(x))=3(x+2)-2
=3x+6-2
=3x+4
Answer:
Step-by-step explanation:
f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).
f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2
f(g(x)) = 3(x + 2) - 2 Now remove the brackets
f(g(x)) = 3x + 6 - 2
f(g(x)) = 3x + 4
I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.
1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?
Answer:
Step-by-step explanation:
1 meter = 39.3701, by definition.
3 meters = 3*(39.3701)
3 meters of wire = 118 inches
Answer:
3 meters ≈ 118 inches
Step-by-step explanation:
1 meter = 3.28084 feet
1 foot = 12 inches
3 · 3.28084 = 9.84252
9.84252 · 12 = 118.11024
if f(x)=4x + 3 find f^-1(x)
Answer:
f^-1(x) = (x-3)/4
Step-by-step explanation:
The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:
First, we take the original function and swap the two variables:
y = 4x + 3
x = 4y + 3
Then we subtract 3 from both sides
x - 3 = 4y
Then to get y on its own, we divide both sides by 4.
y = (x-3)/4
Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.
So your new inverse equation is:
f^-1(x) = (x-3)/4
Answer:
y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.
Step-by-step explanation:
Here we're finding the 'inverse function' of the given f(x) = 4x + 3. Follow these steps:
1. Replace the label f(x) with y: y = 4x + 3
2. Interchange x and y: x = 4y + 3
3. Solve this new equation for y: 4y = x - 3, or y = (1/4)(x - 3
can someone please help with this???
Answer: Associative property
Answer:
yes
Step-by-step explanation:
its D
About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.
The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
For a normal distribution:
About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164
Answer:
I believe it is 95%
Step-by-step explanation:
What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.
Answer:
Step-by-step explanation:
Slope is defined as the "Rise" over the "Run" of a straight line. The Rise is the change in y, and the Run is the change in x. For the given points:
(5,6) and (5,9) the Rise and Run are (going from left to right).
Rise (9-6) = 3
Run = (5-5) = 0
The slope is 3/0, which is undefined (can't divide by zero).
Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *
Let p = percent change
p = (new amount)/(original amount) • 100
p = (95 - 75)/75 • 100
p = 20/75 • 100
p = 26.666667
p = 26.6%
Done.
Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?
Answer: he can make 3 1/4 pound burgers.
Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)
HELP PLS ! How many solutions does the following system of equations have?
Answer:
A - infinite
Step-by-step explanation:
The 2 lines are on top of each other making any point on either line a solution.
Hope that helps
help please I don't know what the answer could be
What is the sine rule
Answer:
Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.
Law of sines (on any triangle) is
[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.
Answer:
sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
Step-by-step explanation:
In a triangle with sides a,b,c:
a/sin A = b/sin B = c/sin C
Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
y=4+x
y=1+3x ; 0≤x≤6
Graphs attached
(x,y)=(1.5,5.5)what two numbers multiply to -34 and adds to -15?
Answer:2.78301
12.21699
Step-by-step explanation:
Multiply:
2.78301 x 12.21699 = 34
Add
2.78301 + 12.21699 = 15
Graph the line with the equation y = 2x - 2
Answer:
y-intercept is -2 slope is up 2 right 1(2/1)
Step-by-step explanation:
A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?
160 centimeters
16 millimeters
1,600 millimeters
160 millimeters
Answer:
I don't know I wanna say the 3rd one
Step-by-step explanation: