5) 9x + 8y = -2
-5x + 8y = 26
A) (2, 2)
C) (2,-2)
B) (-2,-2)
D) (-2, 2)
Answers
Answer:
5)9x+8y=-2
-5x+8y=26
A) (2,2)
Related Questions
Riley put £450 into a savings account which
gathered simple interest at a rate of 2% per month.
After 6 months, Riley used some of the money in
the account to buy a bike costing £480.
How much money did Riley have left?
Answers
Answer:
£26.77
Step-by-step explanation:
450(100% + 2%)^6
= 450 (1.02)^6
= 506.77.
506.77 - 480 - 26.77.
Riley had £26.77 left.
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answers
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
Solve using the distributive property:
20 (3 + 8)
Answers
Answer:
60+160
Step-by-step e
Answer:
60+160 or 220
Step-by-step explanation:
20(3+8)
multiple 20 by 3 and 8
60+160
add 60 and 160 which is 220
Find the Constant of proportionality of Henderson Toll Road Cost
Answers
The constant of proportionality is equal to 3/10.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the miles traveled.x represents the cost ($).k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 3/10 = 6/20 = 9/30
Constant of proportionality, k = 3/10.
Therefore, the required linear equation is given by;
y = kx
y = 3/10(x)
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Benjamin plotted -1.5 and 1.6 on a number line. Which point is further from zero?
Answers
Answer:
1.6 is further to 0
Step-by-step explanation:
-1.5 is 1.5 units away from 0
1.6 is 1.6 units away from 0
There ya go
Answer:
1.6
Step-by-step explanation:
distance is never negative so you make -1.5 to 1.5.
1.6 is farther to 0.
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answers
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
A jar contains 24 blue marbles, 16 red marbles, and 14 white marbles. Find the simplified ratio of total marbles to red marbles.
Answers
The simplified ratio of total marbles to red marbles is 27 to 8
How to determine the ratio of the marbles?In this question, we have the following parameters
Blue marbles = 24
Red marbles = 16
White marbles = 14
The above parameters mean that
Total marbles = sum of the individual marbles
Substitute the known values in the above equation, so, we have the following representation
Total marbles = 24 + 16 + 14
Evaluate
Total marbles = 54
The ratio is then represented as
Ratio = Total : Red
This gives
Ratio = 54 : 16
Simplify ratio
Ratio = 27 : 8
Hence, the simplified ratio is 27 : 8
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Match the simplified version of the number given. Note: You do not need to find the opposite for the number, just the simplified number. Use the following clues:
The opposite of a positive number is a negative number and vice versa.
The opposite of the opposite of a positive number is a positive number.
The opposite of the opposite of a negative number is a negative number.
1. -(-75)
-20
2. -(87)
-75
3. -(20)
75
4. -(-20)
-12
5. -(12)
12
6. -(-12)
20
7. -(75)
-87
8. -(-(87)
87
Answers
The matching forms of the numbers are as represented below upon evaluation;
-(-75) = 75-(87) = -87-(20) = -20-(-20) = 20-(12) = -12-(-12) = 12-(75) = -75-(-87) = 87Opening up parenthesisThe given numbers can be simplified by opening up the parenthesis as indicated above in which case,
The product of 2 negatives equals a positive signThe product of ,a negative and positive equals negative.Read more on parenthesis;
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Factor.
f(x)=6x2 - x - 2
([ ? ]x + [])([ ]x - [ ])
Answers
Answer: Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c = 6 ⋅ - 1 = - 6, this should be right but if it isnt,u will have every right to get mad.
Step-by-step explanation:
Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
Answers
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Answers
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
Which of these is NOT a theme for "The Treasure of Lemon Brown"?
A. Memories
B. Friendship
C. Basketball
D. Family
Answers
Answer:
C; Basketball
Step-by-step explanation:
Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."
He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.
Hope this helped! :D
Twice a number added to another number is 15 the sum of the two numbers is 11 find the numbers.
Answers
Answer:
the numbers are 4 and 7
Step-by-step explanation:
"twice a number added to another number is 15" --- 4(2) + 7 = 15
"the sum of the two numbers is 11" --- 4 + 7 = 11
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Answers
Answer:
the answer is 41 degrees
Just subtract
180-139
=41
(Please katie im not doing anything wrong)
Step-by-step explanation:
Answer:
∠x=41°
Step-by-step explanation:
Supplementary Angles are angles that equal 180°
1. Use the equation
∠x+∠y=180°
2. Fill in the given values
∠x+139°=180°
3. Solve
Subtract 139 from both sides
∠x+139°=180°
-139° -139°
4. Answer
∠x=41°
y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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How to use a standard algorithm to get an answer
Answers
If you have
39
x39
-----------
351
117-
------------
1521
the area model for this problem
is equal to 39 rows and 39 columns , (39 squares in a row and 30 squares in columns)
In total 1,521 squares
If it travels at 186,000 miles per second, about how many miles does a ray of light travel in 3 hours?
Answers
If it travels at 186,000 miles per second, about how many miles does a ray of light travel in 3 hours?
we know that
1 hour =3,600 seconds
so
186,000 miles/sec=186,000 (3,600)=669,600,000 miles/ hour
Multiply by 3
distance=669,600,000 miles/ hour*3=2,008,800,000 miles
Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
Answers
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answers
Answer:
63 42
53
53
52
Jdjdjdjfh
Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = \(\frac{104}{2}\) = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = \(\frac{76}{2}=38^\circ\)
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Sally pays $50.00 for a meal that costs $38.13. She tells the server to keep the difference as a tip. How much is the tip?
Answers
Answer:
11.87
Step-by-step explanation:
It just subtraction
What is the mixed number of 14/4
Answers
Answer:
3 2/4 or 3 1/2
Step-by-step explanation:
Have a great day!
Check
3*4=12 +2 = 14
To be a regular polygon all sides must be and all angles must be
Answers
Answer:
A regular polygon has equal length sides with equal angles between each side
Step-by-step explanation:
To be a regular polygon all sides must be and all angles must be
A regular polygon has equal length sides with equal angles between each side
The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5). Which is the approximate solution for the system of equations x + 5 y = 10 and 3 x + y = 1? (–0.3, 2.1) (–0.3, –2.1) (0.9, –1.8) (0.9, 1.8)
Answers
Answer:
A: (–0.3, 2.1)
Answer:a
Step-by-step explanation:
Write 100 as a product of primes.
Use index notation when giving your answer.
Answers
Answer:
2^2* 5^2.
Step-by-step explanation:
2)100
2) 50
5) 25
5
100 = 2*2*5*5.
= 2^2* 5^2.
Suppose that the functions fand g are defined as follows.
f(x)=(4+x)(6+x)
g(x) = 1+x
Find (f/g)(-5)
Find all values that are NOT in the domain of f/g
Answers
(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.
To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).
Given:
f(x) = (4+x)(6+x)
g(x) = 1+x
Substituting -5 into the functions:
f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1
g(-5) = 1+(-5) = -4
Now, we can calculate (f/g)(-5):
(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4
Therefore, (f/g)(-5) equals 1/4.
Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.
To find the values that make the denominator zero, we solve the equation:
1 + x = 0
Subtracting 1 from both sides, we get:
x = -1
So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.
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state if the triangles in each pair are similar. If so State how you know they are similar and complete the similarity statement
Answers
Answer:
fourth option
Step-by-step explanation:
∠ FTC = ∠ MTL ( vertical angles )
Since FC and ML are parallel, then
∠ FCT = ∠ TML (corresponding angles )
Thus
Δ TCF ~ Δ TML by the AA postulate
Answer:
\(\large \boxed{\mathrm{similar, \ AA \ similarity}, \ \Delta TML}\)
Step-by-step explanation:
The two triangles are similar.
We can prove by angle-angle similarity, in \(\mathrm{AA}\) similarity, there are two pairs of congruent corresponding angles in two triangles, this proves the two triangles are similar.
\(\angle U\) and \(\angle M\) are a pair of congruent corresponding angles.
\(\angle V\) and \(\angle L\) are a pair of congruent corresponding angles.
Therefore,
\(\Delta TUV \sim \Delta TML\)
Tristan has 24 apples. He eats 24 of them. His friend mike gives him 12 more. how many does he have left?
Answers
Answer:
12 i guess?????????????
Suppose your friend's parents invest $15,000 in an account paying 7% compounded annually. What will the balance be after 6 years?
Answers
Answer:
$22,510.96
Step-by-step explanation:
Final investment value
$22,510.96
Total interest earned
$7,510.96
Initial balance
$15,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
7%
After a discount of 25%, the sale price of a game system is $149.25. what is the original price?
Answers
Answer:111.94
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
25% = 25/100 = 25 ÷ 100 = 0.25.
100% = 100/100 = 100 ÷ 100 = 1.
New value =
149.25 - Percentage decrease =
149.25 - (25% × 149.25) =
149.25 - 25% × 149.25 =
(1 - 25%) × 149.25 =
(100% - 25%) × 149.25 =
75% × 149.25 =
75 ÷ 100 × 149.25 =
75 × 149.25 ÷ 100 =
11,193.75 ÷ 100 =
111.9375 ≈
111.94