Answer: x = 5, y = -1
Step-by-step explanation:
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
I chose to eliminate y. The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> 6x - 10y = 40
26x = 130
÷26 ÷26
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
-20 -20
2y = -2
÷2 ÷2
y = -1
3. A telephone pole is supported by two wires on opposite sides. At the top of the pole, the wires
form an angle of 55º. On the ground, the ends of the wires are 11.0 m apart. One wire makes a
(4) 41° angle with the ground.
a) How long is each wire? (round to the nearest tenth)
b) How tall is the pole? (round to the nearest tenth)
I understand A, but please help with B ASAP!!!!
Answer: a) length of the wires are 8.1m and 13.4m
b) length of pole is 8.8m
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo. Triangle ABC is formed. Since the sum of the angles in a triangle is 180°, it means that angle B would be
180 - (41 + 55) = 84°
a) AC and BC are the lengths of each wire.
CD is the height of the pole
To determine AC, we would apply sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore,
11/Sin55 = BC/Sin 41 = AC/Sin84
1) 11//Sin 55 = BC/Sin 41
Cross multiplying, it becomes
11Sin41 = BCSin55
11 × 0.6561 = BC × 0.8192
BC = 7.2171/0.8192 = 8.8m
2) 11/Sin55 = BC/Sin 41 = AC/Sin84
1) 11//Sin 55 = AC/Sin 84
Cross multiplying, it becomes
11Sin84 = ACSin55
11 × 0.9945 = AC × 0.8192
AC = 10.9395/0.8192
AC = 13.4m
b) triangles ACD and BCD are right angle triangles. To determine CD, we would apply the sine trigonometric ratio.
Sin # = opposite side/adjacent side
Considering triangle ACD,
Sin 41 = CD/13.4
CD = 13.4Sin41 = 13.35 × 0.6561
CD = 8.8m
Please answer CORRECTLY !!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!
Answer:
(x+6) (x+6)
Step-by-step explanation:
x^2 + 12x+36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
Answer:
[tex](x + 6)(x + 6)[/tex]
Step-by-step explanation:
[tex]36 + 12x + {x}^{2} \\ {x}^{2} + 12x + 36 \\ {x}^{2} + 6x + 6x + 36 \\ x(x + 6) + 6(x + 6) \\ = (x + 6)(x + 6)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
Answer:
The answer is C
The cost per month is a good way to compare different modes of transportation. True False Please help and fast. I am in need of desperate help!!!!
Answer:
False
Step-by-step explanation:
Cost is not a complete ways to compare different modes. We also need to look at the time of each mode of transportation. Walking is very cheap (the cost of shoes and water) but would take a very long time. We would also have to look at the convenience factor. The bus may be cheap but it may not run when and where you need it.
It is, that would be true
H(4 1/2, -3 1/4) x (3 3/4, -1 3/4) what the midpoint of hx
Answer:
(3 7/8, 2 3/4)
Step-by-step explanation:
To find the midpoint, the formula is (x1-x2)/2 and (y1-y2)/2. So, in this case, our x1 is 4 1/2 and our x2 is -3 1/4. Subtract x2 from x1 and you will get 7 3/4. Then, divide by 2 to get 3 7/8. This is our x-coordinate.
Our y1 is 3 3/4 and our y2 is -1 3/4. Subtract y2 from y1 to get 5 1/2. Then divide by two to get 2 3/4. This is our y-coordinate.
Now we have our x and y coordinates.
(3 7/8, 2 3/4)
12
11
10
NA
9
3
8
4
7
5
6
The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find their present age
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Let's form some equations:
I'll refer to Joyal's age as 'x'
Therefore, his mother's age is '3x'
Here is the equation we create:
x + 5 + 3x + 5 = 66
Simplify this:
4x + 10 = 66
- 10 from both sides:
4x = 56
/4 on both sides
x = 14
3(14) = 42
So, currently Joyal is 14 and his mother is 42
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
9x2(^)+24x+20=4 trying to solve the quadratic equation by factoring
Answer:
Step-by-step explanation:
9x^2 + 24x + 16 = 0
(3x + 4)(3x+4)=0
3x + 4 = 0
3x = -4
x = -4/3
3x + 4 = 0
3x = -4
x = -4/3
Which of these four sets of side lengths will form a right triangle?
Set 1
StartRoot 2 EndRoot cm, 9 cm, StartRoot 7 EndRoot cm
Set 2
2 in., StartRoot 5 EndRoot in., 9 in.
Set 3
StartRoot 6 EndRoot mm, 2 mm, 10 mm
Set 4
StartRoot 2 EndRoot ft, StartRoot 7 EndRoot ft, 3 ft
Set 1
Set 2
Set 3
Set 4
Answer:
on e d g e n u i t y 2020, the answer is Set B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
can someon help me with this?
Answer:
5^-2 ^2
and 5^2 * 5^-6
Step-by-step explanation:
There are 4 (1/5)'s multiplied together so
(1/5) ^4 = 1^4 / 5^4 = 5^-4
and
we know that 5^-2 ^2 = 5^(2*-2) = 5^-4
and 5^2 * 5^-6 = 5^(2-6) = 5^4
Answer:
A and D
Step-by-step explanation:
[tex](5^{-2})^{2}=5^{-2*2}=5^{-4}=1/{5^{4}}\\\\5^2*5^{-6}=5^{-6+2}=5^{-4}=1/{5^{4}}[/tex]
help me i need it ASAP
Answer:
m = 13
Step-by-step explanation:
To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.
1. 7m = 91
2. (7m)/7 = 91/7
3. m = 13
Hope this helps! (Please consider giving brainliest)
Which values of a and b make the equation true? (2xy)^4/4xy=4x^ay^b
Answer: a=3, b=3
Step-by-step explanation:
Let's rewrite this expression on the left side so that it matched the form on the right side.
[tex]\frac{(2xy)^4}{4xy}=\frac{16x^4y^4}{4xy}=4x^3y^3[/tex]
Now, you can see the left side matches the same form as the right side.
4x³y³=4xᵃyᵇ
Since they're the same equation, a=3 and b=3.
i have no idea how to do word problems and they’re a little harder
Answer: Answer choice 1, 3, 5
Step-by-step explanation:
This is more of analyzing a graph rather than a word problem.
We are told that 4 pm is at 16 hrs after midnight. You can see that the graph increases up to 4 pm. We can say 1 is correct.
After 6 pm at 18 hrs, we can see that the graph decreases. We can say 3 is correct.
Looking at the slope of the graph, 12 to 16 has a steeper slope than 8 to 12. We can say the temperature increases faster at 12 to 16 than 8 to 12.
What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
3 - (-2)
Subtracting a negative is like adding
3+2
5
ye i dont know anything and havent learn anything from online school so help
Answer:
D, a 25 percent discount means the item is at 75 % of what it used to be.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The answer is D. D is showing the actual discount, not the total price with the discount.
Hope this helps! (Please consider giving brainliest)
Please help me now plz
Answer:
B
Step-by-step explanation:
The equation of the circle is (x + 1)² + (y + 3)² = 6². When we plug in (-6, -6) we get (-6 + 1)² + (-6 + 3)² = 6², which is a true statement so that means that the point is on the circle.
In this figure,
AB | CD
mZ4 = 30° what is mZ8?
Hey there! :)
Answer:
m∠8 = 30°.
Step-by-step explanation:
Since AB || CD, m∠4 = m∠8 because they are corresponding angles. Therefore:
If m∠4 = 30°, m∠8 = 30°.
Answer:
30 = <8
Step-by-step explanation:
<4 and <8 are corresponding angles and corresponding angles are equal when the lines are parallel
<4 = <8
30 = <8
Which pair of underfined terms is used to define a ray
Answer:
point and line
Step-by-step explanation:
Find the length of arc QS
Answer:
QS ≈ 4.71 units
Step-by-step explanation:
The arc QS is calculated as
QS = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{4}[/tex]
= 6π × 0.25 ≈ 4.71 units ( to the nearest hundredth )
the value of sin^2 30° - cos^2 30° is
Answer:
-1/2
Step-by-step explanation:
Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.
With that being said:
sin^2 30 - cos^2 30
= (1/2)^2 - ((sqrt3)/2)^2
= 1/4 - 3/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
Pleaseeeeee helppppppp
Answer:
The series converges to -1.5.
Step-by-step explanation:
This is a geometric series, so it converges if the number in parenthesis is between -1 and 1.
-1 < -3/5 < 1, so the series converges by the geometric series test.
Now we can plug this into the calculator (on TI-84, it's Math->0 summation) to find that the sum is -1.5. You can use 100 or another big number as a placeholder for infinity.
area of a 158 degree sector
workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck. According to their inventory, they still need to load 96% of boxes on the truck. What is the total number of boxes the workers are loading on the truck? Explain.
Answer:
1,200
Steps down below
Step-by-step explanation:
Steps
1: 48=4% loaded on truck and they have 96% left to load
2: so set up a proportion and it should look like this
3: 48 over x = 4 over 100
4: 48/x=4/100
6: do cross multiplication 100×48= 4,800÷ 4 = 1,200 total on truck
Answer: 1,200 total on truck
Hope this helps.
A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to keep flying around the tree. Then, all the birds took off, flew around the tree again and landed to sit, four to a branch. Now, no birds were left flying but one branch had no birds sitting on it. How many branches were on the tree and how many birds were in the flock?
Answer: 5 branches and 16 birds.
Step-by-step explanation:
If the number of birds is B, and the number of branches is N.
First we have the equation:
B = 3*N + 1
(3 birds per branch + 1 that was flying around)
for the second equation we have:
B = 4*(N - 1)
(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)
now we can write:
3*N + 1 = 4*(N - 1)
3*N + 1 = 4*N - 4
4 + 1 = 4*N - 3*N
5 = N
So we had 5 branches, now we can replace it in one of the equations and find the number of birds.
B = 3*N + 1 = 3*5 + 1 = 16
Answer:
deposition
Step-by-step explanation:
Work out an estimate for the value of
48.7 × 61.2/11.3
Answer:
[tex]263.755[/tex]
Step-by-step explanation:
[tex]48.7 \times 61.2 \div 11.3 \\ 2,980.44 \div 11.3 \\ = 263.755752 [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 263.755
Look at the attached picture
Hope it will help you
Good luck on your assignment..
when sunayana purcased a video-game she paid Rs 162.50 as VAT at the rate of 13%. find its cost without levying VAT. Rs 1250 is answer please how to take out this answer
Answer: 1250
Step-by-step explanation:
Let x be the cost before vat
13/100x = 162.50
x = 162.50 x 100/13
x = 162.50 / 2.13
x = 1250
A quadratic relation in the form y = ax² + bx + c and has a y-intercept of (0, 1). The parabola also goes through the points (2, 9) and (-5, 16). Determine the parameters of this quadratic relation (the values of a, b, and c).
Answer:
value of
a = 1
b = 2
c =1
and equation is
y = x² + 2x + 1
Step-by-step explanation:
Given quadratic equation y = ax² + bx + c
It has y-intercept of (0, 1)
thus, point (0,1) will satisfy equation y = ax² + bx + c.
putting 1 in place of y and 0 in place of x in equation y = ax² + bx + c we have
1 = a*0² + b*0 + c
c = 1
Thus, equation until now is y = ax² + bx + 1
____________________________________________________
The parabola also goes through the points (2, 9) and (-5, 16)
point (2, 9) will satisfy equation y = ax² + bx + 1.
putting 9 in place of y and 0 in place of 2 in equation y = ax² + bx + 1 we have
9 = a*2² + b*2 + 1
9 = 4a+2b+1
=>4a+2b = 9-1 = 8
dividing both side by 2 we have
4a/2+2b/2 = 8/2
=> 2a + b = 4
b = 4-2a
____________________________________________________
The parabola also goes through the points (2, 9) and (-5, 16)
point (-5, 16) will satisfy equation y = ax² + bx + 1.
putting 9 in place of y and 0 in place of 2 in equation y = ax² + bx + 1 we have
16 = a*(-5)² + b*(-5) + 1
16 = 25a-5b+1
=>25a-5b = 16-1 = 15
dividing both side by 5 we have
25a/5-5b/5 = 15/5
=> 5a - b = 3
second equation is 5a - b = 3
substituting value of b as 4-2a from first equation we have
5a - (4-2a) = 3
=> 5a - 4+2a = 3
=> 7a = 3+4 = 7
=> a = 7/7 = 1
value of b is 4-2a
substituting value of a as 1 in 4 - 2a we have
b = 4 - 2*1 = 4-2 = 2
Thus,
value of
a = 1
b = 2
c =1
and equation is
y = x² + 2x + 1
If f(x) = {3x+53x−5if −5
Answer:
-385
Step-by-step explanation:
If -5 = x, then f(x) = -15-365-5 which is -385.
an article bought for $125 was sold for $175 the profit as a percentage of the cost price was
Answer:
40%
Step-by-step explanation:
Step 1: 175-125-50
Step 2: 50/125=0.4=40%
Answer:
40% profit
Step by step explanation:
There is a profit of $50.
If you were to find the percentage, you would divide 50 by 125. This would give you 0.4
find the area of the shape below
Answer:
108!
Step-by-step explanation:
The area of a trapezoid is
1/2 x h x (b1 + b2)
plug it in!
24 x 1/2 x 9
12 x 9
108