Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 5 ) → A' (- 1, 5 )
B (2, - 3 ) → B' (2, 3 )
C (3, - 5 ) → C' (3, 5 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (- 1, 5 ) → A'' (1, 5 )
B' (2, 3 ) → B'' (- 2, 3 )
C' (3, 5 ) → C'' ( - 3, 5 )
Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.
x + ( x + 1 ) + ( x + 2 ) = -42
Opening the brackets and simplifying :
x + x + 1 + x + 2 = -42
3x + 3 = -42
Now , solving equation :
[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]
[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]
[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]
[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: - 15[/tex]
[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]
[tex]\bf \implies \: \:x \: = \: - 15[/tex]
[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]
[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]
-15 , -14 and -13 are the three consecutive integers.
Jenny bough 4 combo packs of popcorn and candy for 32$ at the movie theater, what was the cost of each pack?
Answer:
$8
Step-by-step explanation:
Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:
4x = 32
To solve this you divide 4 into each side of the equation:
4x = 32
---- ----
4 4
x = 8
The answer is 8.
Hope this helped.
Express 3x-2/(x-1)(x-2)
Answer:
3x-2/x²-3x+2
Step-by-step explanation:
you have to expand the bottom equations
(x-1)(x-2)
x(x-2)-1(x-2)
x²-2x-x+2
x²-3x+2
now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.
3x-2/x²-3x+2
I hope this helps
Need helppppp asappppp
it´s a polygon. letter c (decagon) should be right
hope it helps :)
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed
Answer:
cosC = [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]
sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer: Around 68.0858 m
Step-by-step explanation:
Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35To find x To find y
[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex] [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]
To find the height of the building, add the x-value and y-value:
[tex]x+y=26.3744+41.7114=68.0858[/tex]
I hope this is correct o_o
helpppp: write the rule that describes the composition of transformations
find the measure of the indicated angle to the nearest degree
Answer:
43
Step-by-step explanation:
First you divide the opposite side from the angle by the hypotenuse.
33/44
then you take the inverse sine of 33/44, resulting in
43.43°, which rounds to 43°
change the following to grams only
a. 7kg 85g
b. 6kg 346g
c. 5kg 342g
Answer:
a) 7085g
b) 6346g
c) 5342g
Step-by-step explanation:
1kg = 1000g
Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft
Answer:
three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°
Step-by-step explanation:
Answer:
three sides measuring 4 ft, 8 ft, and 14 ft
Step-by-step explanation:
The sum of the 3 angles of a triangle add to 180
three angles measuring 25° 65°, and 90° 25+65+90 =180
• three angles measuring 50°, 30°, and 100°50+30 +100 = 180
The sides of a triangle a<b<c (a+b) >c
• three sides measuring 5 in., 12 in., and 13 in.
(5+12)>13 true
• three sides measuring 4 ft, 8 ft, and 14 ft
(4+8) >14 false
A set of prime number between 5 and 15 . express it in listing and set builder methods.
Answer:
Step-by-step explanation:
{7,11,13}
how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees
Find the length of side x in simplest radical form with rational denominator.
Answer:
sqrt(20)
Step-by-step explanation:
The two perpendicular side lengths are equal, so using Pythagoras theorem:
x = sqrt( sqrt(10)^2 + sqrt(10)^2 )
x = sqrt(10 + 10)
x = sqrt(20)
Can someone please help me with this problem!!
Graph g(x)= -5^x +5
môt lâm trường lập kế hoạch trồng 1 số ha rừng, theo đó mỗi tuần lâm trường phải trồng 15ha. Trên thực tế nhờ cải tiến kĩ tuật, lâm trường đã trồng được 20ha mỗi tuần. Do đó, lâm trường khong những đã hoàn thành kế hoạch trước thời hạn 1 tuần mà còn trồng thêm được 5ha rừng. Hỏi theo kế hoạch, lâm trường phải trồng bao nhiêu ha rừng?
Step-by-step explanation:
mình nghĩ là như vầy. Chúc bạn học tôt :))))
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x^3 + x^2 +7x - 28 = 0
A. Two
B. Three or one
C. One
D. Two or zero
The possible number of positive real solutions for the given polynomial equation is; Option C; One
We are given the polynomial;
5x³ + x² + 7x - 28 = 0
We can use descartes rule of signs to find the number of positive real zeros of the polynomial.
This descarte's rule of sign states that the number of sign changes from two consecutive coefficients tell us the number of maximum number of possible positive real zeros.
In our given polynomial, there is only one sign change. Thus we conclude that there is only one possible positive real solution to the polyomial.
Read more at; https://brainly.com/question/9624325
Answer:
D
Step-by-step explanation:
.......................
4(a)+8-a,if a=-2 evaluate each expression
Answer:
2
Step-by-step explanation:
4(a)+8-a
Combine like terms
4a-a +8
3a+8
Let a = -2
3(-2)+8
-6 +8
2
Helppppp pleaseeee anyoneeeee
a cube plus b cube is equal to a + b whole (a square minus a b + b square whole)
Answer:
a =b
Step-by-step explanation:
The inequality X+C > -2.55 has the solution x> 4.85 What is the value of c? How do you know?
Answer:
The value for C is 2.3
in this case we know of x to be 4.85
therefore subtract the summation of both X+C from the value of x.
Hence we will have the equation X - X+C =2.3
toán lớp 8
giải bất phương trình: 2x + 2 > 4
Answer:
x>1
Step-by-step explanation:
Answer:
x>1
I hope it will help you
Please help will give brainliest
[tex]x {}^{2} + 17x + 30[/tex]
Factorising It[tex]x {}^{2} + 2x + 15x + 30 \\ \\ = x(x + 2) + 15(x + 2) \\ \\ = (x + 2)(x + 15)[/tex]
[tex] \therefore[/tex] A= 2 And B= 15
Hope This Helps You ❤️Which is equivalent to the expression below?
3√3 + √6 + √12 - 2√3
A. 5√3
B. 3√3 + 6
C. 2√3 - √21
D. 5√3 - 6
Answer:
3√3 + √6 is the answer. so none is correct.
Step-by-step explanation:
= 3√3 + √6 + √12 - 2√3
= 3√3 + √6 + √4 X 3 - 2√3
= 3√3 + √6 + 2√3 - 2√3
= 3√3 + √6
Please decide !!!!!!!!
9514 1404 393
Answer:
6 pours
Step-by-step explanation:
Here are two 6-step solutions. The four digits represent the contents of the 9,5,4,2 containers (in that order) after a single pour. The starting condition is 9000.
Solution 1:
7002 — 9 > 27200 — 2 > 53240 — 9 > 43510 — 4 > 53312 — 5 > 23330 — 2 > 4Solution 2:
5040 — 9 > 45400 — 4 > 51440 — 9 > 41530 — 4 > 51332 — 5 > 23330 — 2 > 9Can someone help me out please
Answer:
12
Step-by-step explanation:
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hjcjc
Answer:
Step-by-step explanation:
pi = 3.14
r = 11 yds
Formula
Area = 4 pi r^2
Solution
Area = 4 * 3.14 * 11 ^2
Area = 1519.76
Area = 1519.8 rounded to the nearest 1/10
Find the measurement of the angle diagonal indicated in the following parallelogram
Answer:
24units
Step-by-step explanation:
From the parallelogram given, we can see that the line FH bisects EG at V. Hence;
GE = 2GV.
Given that
GV = 12
GE = 2(12)
GE = 24
Hence the measure of the length GE is 24units
Borgir?
Plz answer, I'll give brainliest...
Answer:
What do uh mean?.......
The sum of (-12) and (5) is
(A) 6 (B) 8 (C) -7
Answer:
-7
Step-by-step explanation:
-12 +5
Since the signs are different
Take the larger number and subtract the smaller number
12-5 =7
Take the sign of the larger
-7
Answer:
-7 is the answer
[tex]( - 12) + (5) \\ = 7[/tex]
Set up the ratio for cos(A)
Answer:
21/35
Step-by-step explanation:
Recall that Cos = Adjacent/Hypotenuse
We want to find Cos A
The adjacent of A is 21 and the hypotenuse is 35
So cos A would equal 21/35
Write out the first five terms of the sequence.
an = n - 6
Answer:
-6, -5, -4, -3, -2
or
-5, -4, -3, -2, -1
depending on if N starts at 0 or 1
Step-by-step explanation:
If n starts at 0 then the first 5 terms are the following,
-6, -5, -4, -3, -2
If n starts at 1 then the first 5 terms are these,
-5, -4, -3, -2, -1