Answer:
We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]
We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))
We would simply subtract f(x) and g(x)
[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]
So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
To know more about triangle click on,
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Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
. Mark's profile picture is 4 inches tall, but his actual height is 76 inches. What is the scale factor from his profile picture to his actual height?
Scale factor =
19
72
16
38
3b. If the profile picture of Mark's sister is 3.5 inches tall, how tall is her actual height?
Her actual height is _____ inches.
70
82
59.5
66.5
Step-by-step explanation:
Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.
Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5
Pls help ASAP it’s math
Answer:
5
Step-by-step explanation:
the image shows VW and SR to be congruent therefore the difference is 10 between the sizes. to find SP you subtract 10 from TW
15 - 10 = 5
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
ANSWER IT QUICKLY PLEASE I NEED IT AS SOON AS POSSIBLE
Vertical stretch by a factor of 6, reflected about the x-axis, horizontally
translated 8 units to the left, vertically translated up 9 units:
hehehsghwownvdiebrubej ru e8yigdktdoyfiyfiycolhcihcohfyoigdohcigcyf yd CV 4fv4f ccx 6ed7tdkyr features dw,devfrkydkhcug uv.g5 5f bfc 7fcktx.hdvf grnhrkyxhdyc 6f 7fc9yv
please help me with math ;-;
Answer:
1. y= -2/5x+3
2. y= 3x-2
3. y= -1/2+0
Step-by-step explanation:
The formula for a linear equation is y=mx+b with
m=slope
and b= the y-intercept.
Select the three situations that model a sum of zero.
Explain your answer.
Answer:
Step-by-step explanation:
1,2,4
What is the square root of 100?
Answer:
the square root of 100 is 10
10x10=100
Answer:
the square root of 100 is 10
Step-by-step explanation:
Where would be located on the number line below?
between P and Q
between Q and R
between M and N
between N and P
Solve the following word problem using two variables. Show each step of your work.
John is five years older than Maya. The sum of their ages is 27. Find both ages.
Answer:
John is 16 and Maya is 11
Step-by-step explanation:
x=Maya's age
x+5=John's age
x+x+5=27
2x+5=27
-5 -5
2x=22
/2 /2
x=11
x+5=
11+5= 16
pls help me and hve a nice day ;p
Step-by-step explanation:
km²
make it braintliest please
So, I need to find out, how long one of the side lengths of the orange square is. the square is in the semicircle. you do not have any numbers given, and should use just letters.
thanks in Advance
Answer:
Assuming the square and the semicircle aren't merged somehow, and we need to calculate their full area, we should take into account:
Area of a square:
(Side length)² = 22² = 484 square inches
Area of a circle with a diameter of 22inch:
3'14 · (radius)² = 3'14 · 11² = 379'94 square inches
Since we have half a circle, the total areas to add will be:
1/2 · 379'94 + 484 = 673'97
Step-by-step explanation:
ILL GIVE BRAINLIEST
An angle measures 100° less than the measure of its supplementary angle. What is the measure of each angle? _° and _°
Answer:
Step-by-step explanation:
the sum of supplementary angles equal to 180
let x=angle
180-x= the other angle
180-x=x-100
2x=280
x=140
the other angle is 40
~.❤~Please Answer~❤.~
Answer:
True
hope it helps!
Step-by-step explanation:
Find x.
Side splitter theorem
Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is
[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
hi please help me , if u dont mind
Answer:
C or B
Step-by-step explanation:
Answer: i believe it would be B
Step-by-step explanation: Basically the graph points keep moving up.
Evaluate -x + 8 for x = 5.
Answer:
3 is the answer
Step-by-step explanation:
-(5)+8
-5+8=3
you just change x for 5 and go from there
In this problem, you have to use substitution!
-x + 8, when x = 5
1) Substitute the value of 'x' with '5'
-x + 8
= -5 + 8
2) Reverse the expression to make it easier to solve [optional]
-5 + 8
= 8 - 5
3) Solve!
8 - 5
= 3
Your answer is 3
I hope this helps!
- sincerelynini
Which two properties characterize an air mass?
Answer:
Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form
Answer:
Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).
Step-by-step explanation:
Looked it up
HELPPPP
Predict the number of sales in month 5.
The store sold fewer blue jeans
after the
new pants became popular.
Enter the correct answer.
7904
3952
1976
988
?
find the value of x and y
Answer: y is 40 x is 60
Step-by-step explanation:
Answer:
x=40 and y =5
Step-by-step explanation:
Which equation represents the relationship between z and y shown in the table?
a) y= 1/2x - 4
b)y= 2x - 3
c)y= 2x + 1
d)y= 1/2x + 4
Answer:
its c
Step-by-step explanation:
to took it
Answer:
B
Step-by-step explanation:
158, 155,152,...
Find the 34th term.
Answer:
56
Step-by-step explanation:
158 - ( 3 * 34) = 56
what is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7? (has to be in y=mx+b form)
Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Slopes of perpendicular lines are opposite reciprocals.
If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
~~~~~~~~~~~
6x - y = 7 ⇔ y = 6x - 7
Slope of given line is 6
Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]
( - 6, - 1 )
y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)
y = [tex]-\frac{1}{6}[/tex] x - 2
find the measurement indicated in each parallelogram please help!
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.x + 80 = 180 - (64 + 36)
x + 80 = 180 - 100
x + 80 = 80
x = 0
0 is the right answer.55% of the cookies Joel baked had chocolate chips. If Joel baked 77 cookies with chocolate chips, how many cookies did he bake?
Answer:
140 cookies
Step-by-step explanation:
To solve this question all we have to do is divide 77 by 0.55
Why 0.55 because 0.55 is the decimal version of 55%
once we divide 77 by 0.55 that will give us our answer of 140 cookies.
Now to check our answer:
If Joel made 140 cookies and 77 of those cookies are chocolate chip that would leave us with 63 cookies without chocolate chips. If we estimate our answer then 63 cookies would make total sense since we know that 55% = 77
then the other 45% would have to equal around 60-70 cookies
plz mark me brainliest if correct :)
HELP PLSSSS LOL!!!!!!!
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
help me please! thanks:)
Answer:
Question 1. 1st option
Question 2. 3rd option
Question 3. 3rd option
14 + 3 = 50 - 6
Please let me know quick with solving steps!
Answer:
Can you show me a picture, that would help.
8.5675859
rational or irrational ?
Answer: irrational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m
Answer:
4.5m is 450%
90cm is 45%
Step-by-step explanation: