Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
Which equation can be used to solve for c? sin(50o) = StartFraction 3 Over c EndFraction sin(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction 3 Over c EndFraction
Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Answer: The correct answer is option 1;
Sin 50° = StartFraction 3 Over c EndFraction
That is, Sin 50° = 3/c
Step-by-step explanation: Please refer to the picture attached for further details.
The right triangle ABC is given and the angle ACB is identified as the 90 degree angle (the right angle). Also the angle CBA is given as 50° and the side marked as AC is given as 3 units. Then, the other two sides are given as CB which is marked a and AB which is marked c.
The resulting right angled triangle as shown in the attached picture now has the hypotenuse as c. The opposite is 3 since its the side facing the reference angle, and the adjacent is a since its the side that lies between the reference angle and the right angle.
Using the reference angle which is given as 50, side c can now be solved using the trigonometric ratio as follows;
Sin 50 = opposite / hypotenuse
Sin 50 = 3/c
Answer:
answer is sin(50*) = 3/c
Step-by-step explanation:
$4.25 for 64 fluid ounces .
What is the unit rate
Answer: $0.07 per unit
Step-by-step explanation:
4.25/64
Answer:
0.07
Step-by-step explanation:
divide
Which is the pair of congruent
Answer:
CBA = DEA
Step-by-step explanation:
Theyre the only right angles listed.
What is unique about an equilateral triangle? *
Answer:
Option A
Step-by-step explanation:
An equilateral triangle's sides are equal to each other, and all their angles are equal.
The best option is A.
What makes the other answers wrong:All angles in a equilateral triangle are 60° each. They are not obtuse.
All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.
All sides of a equilateral triangle are congruent.
(-2ab+8a+8) - (7ab + 6)
Answer:
-9ab + 8a + 2
Step-by-step explanation:
Combine like terms and distribute the negative
_______________________________
Solution,
(-2ab+8a+8)-(7ab+6)
= -2ab+8a+8-7ab-6
= -2ab-7ab+8a+8-6
= -9ab+8a+2
Hope it helps..
Good luck on your assignment
__________________________
URGENT HELLPPP!!!
WILL GIVE BRAINLIEST IF WANTED AND 50 POINTS
The diagram shows a trapezium ABCD.
The co-ordinates of the four vertices are shown.
The coordinates of the trapezium are: Point A 3, 5; Point B 10, 5; Point C 12, 1; Point D is 1, 1.
Work out the area of the trapezium.
Answer:
the area is 36
Step-by-step explanation:
Answer:
[tex]36[/tex] units
Step-by-step explanation:
[tex](a+b)\frac{1}{2} h[/tex]
[tex](7+11)\frac{1}{2} (4)[/tex]
[tex]\frac{18}{2}(4)=36[/tex]
Convert 7/15 to a decimal.
SHOW WORK
Answer:
.4666...
Step-by-step explanation:
What you do:
Too convert 7/15 to a decimal you need too divide it.
7/15 = 0.466666667 So its a repeating decimal.
There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47
^ that is more accurate.
Have a good day! :)
This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.
Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?
A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points
Please explain your answer
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer
Answer these correctly pls
Answer:
1. -3x² × 3x × 2x³ × x⁵
= (-3×3×2) x^2+1+3+5
= -18x¹¹
2. [3×(-1)×(-1)] n^2+2+3
= 3n⁷
3.[-0.5×2×(-1)] x^3+5+1
= x⁹
4.[-2×(-1)×(-1)] s^2+3+4
= -2s⁹
5.[-6×1×(-1)] v^8+5+1
= 6v¹⁴
6.[1/2×(-1)×6] p^2+3+1
= -3p⁶
7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1
= 8b¹⁰
Please answer need help
Answer:
-9,5 -> -9,1 -> -8,9 -> 8,7
In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true?
Answer:
(D) Side B A corresponds to Side E D.
Step-by-step explanation:
Took on Edge and got it correct
You drive 1650 miles at 50 mph; how long will it take?
Answer:
33 hours
Step-by-step explanation:
Take the distance and divide by the rate to get the time
1650/50 = the number of hours
33 hours
Answer:
33 hours
Step-by-step explanation:
mph stands for miles per hour
So, 1650/50=33, which finds how long in hours
So, if your speeds stays constant it should take 33 hours
Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
k
2
and
b
=
1
.
9
(
−
36
k
6
+
k
5
−
k
−
2
)
At the sandwich shop there are 5 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 9 C. 12 D. 20
Answer:
D. 20 different sandwiches
Step-by-step explanation:
5 meats
4 cheeses
5 x 4 = 20
Answer:
its D
Step-by-step explanation:
i did the test on edgeuenity or however u spell it
write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
Answer:
-5n + 8
Step-by-step explanation:
1. What is the difference?
The sequence goes down by 5. This means that the formula will have -5n in it.
2. Work out the term before the first term.
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
3. Put that term at the end of the equation.
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
Substitute: n = term
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
Choose the correct algebraic expression: two plus the product of six and a number
A. 2+6+n
B. 2+6n
C. 2(6n)
D. 2(6+n)
The expression for the statement given can be written as 2 + 6n. The correct option is (B).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
Suppose the required number be n.
Then, the expression for the statement can be written as follows,
Add 2 to the product of n and 6 to obtain,
2 + 6n
Hence, the required expression is given as 2 + 6n.
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There are 42 technicians to repair 6 Aircrafts. The ratio of Aircrafts to technicians is…
Answer:
6:42 or 1:7 simplified.
Step-by-step explanation:
Which ordered pair maximizes the objective function P = 3x + 8y?
оооо
(0, 0)
(2, 7)
(5, 6)
о(8, 1)
Answer:
(5,6)
Step-by-step explanation:
I think you are asking whats the biggest sum you can get out of the ordered pairs. If you are I'm pretty sure (5,6) is correct. If you are not asking that, I am sorry.
Find two consecutive whole numbers that square root 109 lies between.
The closest lower value would be 10.
10^2 = 100
So the two consecutive numbers would be 10 and 11
QUESTION 1 (3 points)
Solve the following equation. Show all work.
4x² - 5 = 76
Answer:
[tex]x_{1} =-\frac{9}{2} \\x_{2} = \frac{9}{2}[/tex]
Step-by-step explanation:
[tex]4x^2 = 76 + 5\\4x^2 = 81\\x^2 = \frac{81}{4}\\ x = |\frac{9}{2}|[/tex]
Answer:
X = 9/2
Step-by-step explanation:
4x² - 5 = 76
4x² = 76 + 5
4x² = 81
4x² = 9²
(2x)² = 9²
2x = 9
X = 9/2
100 POINTS If (p−q)/2 =3 and rp−rq=12, then r= (A) −1 (B) 1 (C) 2 (D) 4 (E) It cannot be determined from the information given
Answer:
r = 2 (answer C)
Step-by-step explanation:
Given: (p - q)/2 = 3, so (p - q) = 6
Next, rp - rq = 12 can be rewritten as r(p - q) = 12, or r(6) = 12
Then r must be 2: r = 2 (answer C)
Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 6 m, 8 m, and 9 m
side lengths of 4 m, 5 m, and 12 m
side lengths of 2 m, 5 m, and 8 m
side lengths of 4 m, 7m, and 13 m
The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.
What is the condition to construct a triangle with given dimensions?
In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.
Given,
1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.
2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.
3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.
4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.
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pls help help me need help!! thank you!!
Answer: 55 feet of rope
Step-by-step explanation:
The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.
|-30| + |25| = 30 + 25 = 55
Chris plotted 3 points on the graph of the equation y=2x. Which coordinates name the points on Chris’s graph?
Answer:
(0,0) (2,4) (-2,-4)
Step-by-step explanation:
(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?
Answer:
It's the last answer choice
Step-by-step explanation:
2x+3> -9
2x+3-3> -9-3
2x> -12
2x/2> -12/2
x> -6
Answer:
d
Step-by-step explanation:
Over the last 5 years, a corporation's debt grew by $ 4 , 253 , 335 . Calculate the average rate at which the company's debt was growing in cents per second. Round your answer to the nearest hundredth if necessary. (For the purposes of this calculation, use 365 days/year.)
Answer:
$.03 per second
Step-by-step explanation:
Take the debt and divide by the number of years
4 , 253 , 335 /5
850667 per day
The divide by how many days in a year
850667/365
2330.594521 per day
Then divide by 24 hours in a day
2330.594521 /24
97.10810502 per hour
Then divide by 60 minutes in an hour
97.10810502/60
1.618468417 per minute
The divide by 60 seconds in an hour
1.618468417/60
.026974474 per second
$.03 per second
Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°
Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2
The statement that is not true based on these diagrams will be;
⇒ m ∠A = m∠2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Now,
Since, In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Hence, We get;
⇒ m ∠A + m ∠B + m ∠C = 180°
Substitute all the values, we get;
⇒ m ∠A + 34° + 108° = 180°
⇒ m ∠A + 142° = 180°
⇒ m ∠A = 180° - 142°
⇒ m ∠A = 38°
Thus, The incorrect statement is,
⇒ m ∠A = m∠2
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The graph illustrates a reflection of JKM. What is the line of reflection?
A. x-axis
B. y-axis
C. y=x
D. y=2x
Answer:
A. x-axis
Step-by-step explanation:
The answer is the x-axis because the trangle is an exact reflection flipped across the x-axis. We also know this was flipped across the x-axis because the x values do not change, but the y values are the exact opposite. For example, point M has coordinates (1,-1) while point M' has coordinates (1,1). This is the same for points K, K', J, and J'.
Hope this helps ;)
pls pls pls pls help
Answer:
the answer is option A
Step-by-step explanation:
Please help me with 1 more question ill give good ratings please!
Answer:
(4, - 4 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )
