Answer:
This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.
Step-by-step explanation:
-3x+3y=9
-x+y=3
Isolate either x or y in any of the equations. I'll go with the second.
y = 3+x
Now substitute this for y in the first equation.
-3x+3(3+x)=9
Distribute the 3
-3x+9+3x=9
Combine like terms:
9=9
0=0
It's infinite
Find the area of the polygon . :)
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
Which statement is true?
Question 13 options:
A)
–|3| = 3 and |4| = 4
B)
|–3| = 3 and –|–4| = –4
C)
|–3| = 3 and –|4| = 4
D)
|–3| = 3 and |–4| = –4
pls help me im so confused
5n-17=2n+1
Answer:
n=6
Step-by-step explanation:
5n-17=2n+1
Subtract 2n from each side
5n-2n-17=2n-2n+1
3n -17 = 1
Add 17 to each side
3n -17+17 = 1+17
3n = 18
Divide by 3
3n /3 = 18/3
n=6
[tex] \large \sf \star \: \green{Answer }\: \star[/tex]
[tex] \small \sf \fbox{n = 6}[/tex]
Step-by-step explanation:[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]
subtract 2n from both side
[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]
[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]
Add 17 to both side
[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]
[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]
Divide 18 by 3
[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]
n = 6
formula for surface area of triangular prism
Answer:
A = bh + L(s1 + s2 + s3)
Step-by-step explanation:
The formula for finding surface area of triangular prism is A = bh + L(s1 + s2 + s3).
Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4
Answer:
8x + 4
Step-by-step explanation:
You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
Gia is thinking of a number, witch she calls n .she adds 4 to the number and then doubles the sum.
write an expression to represent Gia's number.
Answer:
2(n+4)
good luck
Answer:
n+4=n×2
Step-by-step explanation:
that is the equation
Which one is it I’m super confused...
Answer:
( x-2)^2 +(y-5)^2 = 12.25
Step-by-step explanation:
The equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
( x-2)^2 +(y-5)^2 = (3.5)^2
( x-2)^2 +(y-5)^2 = 12.25
What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;
[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]
Therefore, the required point is located as follows;
[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]
The coordinates of the point is (0, -4)
Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years
Answer:
The Principal = $75,000
Step-by-step explanation:
Formula for finding the principal:
I × 100/ R × T
Therefore;
Principal = 45 × 100 / 3/ 100 × 2
[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]
Which means that the Principal is $75,000.00
find the base of the triangle when the area is 94.5
Answer:
Base = 10.5 cm
Step-by-step explanation:
GIVEN :-
Height of the triangle = 18 cmArea of the triangle = 94.5 cm²TO FIND :-
The base of the triangleGENRAL FORMULAE TO BE USED IN THIS QUESTION :-
For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]
SOLUTION :-
[tex]Area = \frac{1}{2} \times Base \times Height[/tex]
[tex]=> 94.5 = \frac{18b}{2}[/tex]
Multiply both the sides by 2[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]
[tex]=> 18b = 189[/tex]
[tex]=> b = \frac{189}{18} = 10.5[/tex]
what is the length of side x in the above right triangle
Answer:
its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer
how do i solve this using multi-step ?
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−4)=2(−2x+1)
(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)
3x+(−12)=−4x+2
3x−12=−4x+2
Step 2: Add 4x to both sides.
3x−12+4x=−4x+2+4x
7x−12=2
Step 3: Add 12 to both sides.
7x−12+12=2+12
7x=14
Step 4: Divide both sides by 7.
7x /7 =14 /7
x=2
Which situation can be modeled by a linear function?
A. The population of bacteria triples every day.
B. The value of a cell phone depreciates at a rate of 3.5% each year.
C. An amusement park allows 50 people to enter every 30 minutes.
D. A baseball tournament eliminates half of the teams after each round.
Answer:
(3) An amusement park allows 50 people to enter every 30 minutes.
Step-by-step explanation:
I hope it helped because it helped me so much.
Solve for X answer as a whole number
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
If AD = 5.1cm, find the height (in cm) of the triangle.
Answer:
I. AC = 15 cm
II. h = 7.4 cm
Step-by-step explanation:
I. Determination of AC
AB = 9 cm
BC = 12 cm
AC =?
The length AC can be obtained by using pythagoras theory as illustrated below:
AC² = AB² + BC²
AC² = 9² + 12²
AC² = 81 + 144
AC² = 225
Take the square root of both side
AC = √225
AC = 15 cm
II. Determination of the height.
AB = 9 cm
AD = 5.1 cm
BD = h =?
The height of the triangle can be obtained by using pythagoras theory as illustrated below:
AB² = AD² + BD²
9² = 5.1² + h²
81 = 26.01 + h²
Collect like terms
h² = 81 – 26.01
h² = 54.99
Take the square root of
h = √54.99
h = 7.4 cm
Your suppose to look at the graph.
If you could help me that would be great!
Answer:
B) $3 per gallon
Step-by-step explanation:
You can see on the graph that for 1 gallon of gasoline, it is $3.
Hope this helped!
Please mark as brainliest!
if 1 cm = 10 km then how much is 8 km? And how much is 5 km? i will give brainly
Answer:
0.8 cm = 8km
0.5cm = 5km
hope this helps
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle's width A(w) What does the second coordinate of the vertex of the quadratic function A(w) represent?
Answer:
B. The maximum area that can be enclosed by the fencing
Answer: The maximum area that can be enclosed by the fencing
Step by-step explanation: got it right on my test
...........................
Answer:
below
Step-by-step explanation:
uG =(12sin45)/sin85
Which expression is equivalent to
Hey there!
(a^8)^4
= a^(8)(4)
8(4) = 32
= a^32
Answer: a^32
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
help me pleaseeee i’m begging!!!!
Answer:
The student did not complete the inverse operations correctly in Step 3
For an afternoon flight, the cost of a premiunm ticket is reduced from $114 to $96.90
Calculate the percentage reduction in the cost of a ticket
Answer:
out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong
what is the perimeter of a rectangle with a base of 5 and a height of 8
Answer:
26
Step-by-step explanation:
Perimeter= width+height+width+height
= 5 + 8 + 5 + 8
= 26 cm
Hope this helps!
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
Which equaiton reprsents a line that passes through the two points in the table? A.y+1=5/4(x+1) B.y+6=4/5(x+5) C.y-6=4/5(x-5) D.y-1=5/4(x-1)
Answer:
C
Step-by-step explanation:
It’s c
Factor completely . 121 - x ^ 2
Answer: Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = ( a + b ) ( a − b) where a = 11 and b = x . ( 11+x) (11-x)
Hey, I need help for this question, not sure what it is. Please respond quickly!
Use the diagram and given information to answer the questions and prove the statement.
Given: Angle X ≅ Angle Z
XY ≅ ZY
Prove: AZ ≅ BX
Prove AZ ≅ BX using a flow chart proof.
Answer:
my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation
A boat is travelling from point c toward point d which is on the shoreline the shoreline is represented by the line through point a and point b
Answer:
The answer is "lines CD & AB are perpendicular ".
Step-by-step explanation:
Given points:
[tex]A=(0,7)\\\\B=(8,-5)\\\\C=(-3,-8)\\\\D=(6,-2)[/tex]
Calculating the slope of AB: [tex]y = -\frac{12}{8}x + 7[/tex]
Calculating the slope of CD: [tex]y = \frac{6}{9}x - 6[/tex]
simplify the slop:
[tex]AB= -\frac{3}{2}\\\\CD=\frac{2}{3}\\\\[/tex]
Need help!!!! On a timer!!!
Answer:
D
Step-by-step explanation:
(hg)(x)=(4x+3)(x+2)=4x²+11x+6