Show me how to file the bonds fir each please
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Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
All numbers have postive absolute value true or false need help plz 10 point
Answer:True
There is no way to have a negative because it's the number's distance from zero
The difference of two numbers is 14. The sum of those numbers is 32,
Write a system of equations to represent the scenario.
Answer:
step explanation: 16+ 16 = 32
Valerie uses 0.75 of a pound of carrots to make a carrot
cake. She bought 6 pounds of carrots. How many carrot
cakes could she make?
Answer:
Valerie can make 8 cakes
Step-by-step explanation:
6/0.75 = 8
Answer:
Valerie can make 8 cakes
Step-by-step explanation:
6/0.75 = 8
Evaluate the expression a/4 + 1/3 when a=10
Answer:
17/6
Step-by-step explanation:
10
4
+
1
3
=
5
2
+
1
3
=
15
6
+
2
6
=
15+2
6
can anyone please help me
with this
Answer
The answer is B
Step-by-step explanation:
How long would it take to travel 315 mi at the rate of 45 mi/h
A. 7 hours
B. 270 hours
C. 360 hours
I NEED HELP ASAP!!! I WILL GIVE BRAINLES
Answer: A. 7 hours
Step-by-step explanation: divide
The school store sells highlighters for $1.20 and permanent markers for $1.15. On Monday they sold 8 of these
items earning a total of $9.35. How many of each item did they sell?
Answer:
3 highlighters and 5 permanent markers were sold on Monday.
Step-by-step explanation:
Since the school store sells highlighters for $ 1.20 and permanent markers for $ 1.15, there is a difference between the two products of 5 cents, or $ 0.05.
Therefore, if 8 products were sold for a total of $ 9.35, and since 1.15 x 8 equals 9.20, there is a difference of 15 cents, attributable to the highlighters, since each highlighter costs 5 cents more than the permanent markers .
Therefore, since 15/5 is equal to 3, on Monday 3 highlighters and 5 permanent markers were sold, which is corroborated by the following calculation:
3 x 1.20 = 3.60
5 x 1.15 = 5.75
5.75 + 3.60 = 9.35
A new hard drive costs $225, plus $40 per hour for
labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, what is the maximum number of hours the computer technician can work?
for 35 point
Answer:
4 hours
Step-by-step explanation:
y= 40x +225
$385 money to spend - $225 that go for hard drive = $160
40* x can be maximum 160 so x= 160 /40= 4
A pile of 20 sheets of card is 1 cm high. How high is a pile of 50 sheets of card?
Answer:
2.5 cm high
Step-by-step explanation:
Can some plz help me answer
please can someone help me with math amos tina-private
A ladder is leaning up against a wall with the base of the ladder only 44 feet from the wall. The ladder itself is 1414 feet long. How large is the angle formed with the ground as the ladder leans against the wall? Round your answer to the nearest tenth.
Answer:
73.4°
Step-by-step explanation:
Given that :
Base of ladder from wall = 4 feets
Length of ladder = 14 feets
Angle formed with the ground :
Using Pythagoras :
Cosine θ = adjacent / hypotenus
Adjacent = 4 feets
Hypotenus = 14 feets
Cosθ = 4 / 14
Cosθ = 0.2857142
θ = cos^-1(0.2857142) = 73.398450
= 73.4°
Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8
Answer:
x = 6Step-by-step explanation:
According to pythagorean theorem
a² = b² + x²
a is the hypotenuse
b and x are the opposite and adjacent
Let a = 10
b = 8
Substitute and get x:
10² = 8²+x²
x² = 10²-8²
x² = 100-64
x² = 36
x = √36
x = 6
Hence the value of x is 6
Find the value of each variable so that the quadrilateral is a parallelogram.
G
19
X-2
Y+1
E
x =
y =
9514 1404 393
Answer:
x = 21
y = 25
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other, so each half of a diagonal is congruent to the other half.
x -2 = 19
x = 21 . . . . add 2
__
y +1 = 26
y = 25 . . . . subtract 1
Rashida makes a scale drawing for a crate with a scale factor of 1:2. The dimensions of her scale drawing are 20 inches long by 12 inches wide. The builder crates a scale drawing of the crate with a scale factor of 1:8. What are the dimensions of the builder’s scale drawing? A the length is 5 inches and the width is 3 inches. B The length is 80 inches and the width is 48 inches. C The length is 48 inches and the width is 80 inches. D The length is 3 inches and the width is 5 inches.
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test A p E x
hope this helps :)
You have how substitute -3x+14y=-18
9514 1404 393
Answer:
(b) (6, 0)
Step-by-step explanation:
You are given the value of x. Substitute that in the other equation and find the value of y.
-3x +14y = -18
We know x=6 from the second given equation, so ...
-3(6) +14y = -18
Add 18 to both sides
14y = 0
Divide by 14
y = 0
Then the solution is ...
(x, y) = (6, 0)
you have $120 in your bank account and work at Wendy’s for $9 per hour. How
many hours must you work to save up for a new phone that cost $435?
Answer:
35 hours
Step-by-step explanation:
First 435-120 to see how much you need to earn which is 315. Then divide that by 9 which is 35 repeating.
Answer:
Step-by-step explanation:
Amount needed = 435 - 120 = $ 315
Total hours to work = 315 ÷ 9
= 35 hours.
I have to work for 35 hours
Questions
answered
The diagram shows a larger square divided into a smaller square and four right triangles. The
diagram can be used to prove the Pythagorean theorem.
18
Time
elapsed
рь
a
00
23
13
HR MIN SEC
a
bd
a
SmartScore
out of 100
Complete the proof of the Pythagorean theorem.
76
9
The area of the larger square found by multiplying its side lengths is
The smaller
square has side lengths of a - b. The combined area of the four triangles and the smaller
square is
which is equivalent to a? - 2ab + b² + 2ab. a? - 2ab +
b2 + 2ab is also equivalent to
. This expression and the expression found by
multiplying the larger square's side lengths both represent the same area. Therefore,
Answer:
Step-by-step explanation:
Which recursive formula can be used to represent the sequence
2, 4, 6, 8, 10, ... ?
Answer:
add by 2
Step-by-step explanation:
Which of the following can be used to construct a triangle?
A) 64in 32in 114in
B) 45in 78in 36
C) 12in 89in 45in
D) 95in 25in 63in
PLS HURRY!!!!
What is the solution to the system of equations?
2x+y=- 4
X-y=4
Answer:
x = 0, y = -4
Step-by-step explanation:
Add these equations together:
[tex]2x + y = -4\\x - y = 4[/tex]
3x = 0
divide both sides by 3
x = 0
substitute this into the equation x - y = 4
0 - y = 4
y = -4
PLEASE HELPPPPPPPP
______ was one of Russia’s greatest writers.
Beethoven
Ivan III
Tchaikovsky
Dostoyevsky
Completely factor the polynomial, if possible.
4x2 + 1
i need help asap!!
Answer:
x= √-1/4
Step-by-step explanation:
4x²+1=0
4x²= -1
x² = -1/4
x = √-1/4
Which expression is equivalent to 2(x + 7) -18x + 4/6
A)20x + 74/5
B) 20x + 139/5
C) - 16x + 74/5
D) - 16x + 139/5
Answer:
i got -16x+44/3 so i guess c?
Step-by-step explanation:
hope this helps
There are 50 animals in a shelter. Three hundred vehicles are parked in a parking garage. Seventy of the vehicles are midsized cars. Which equation can be use to find the number of midsized cars in the parking garage?
Answer:
230
Step-by-step explanation:
300 - 70 = 270 boom
A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing, and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 20 to create a system that represents this situation?
Answer:
Answer:
Option (b) is correct.
4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.
Step-by-step explanation:
Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.
We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.
Let x represents the small rugs and y represents the medium rugs.
Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.
And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.
So, time taken to dye x small rugs = 4x
also, time taken to dye y medium rugs = 6y
And they have maximum of 120 hours.
So this inequality is represented by 4x + 6y < 120
The answer is: 4x + 6y < 120
simplified expression of 7z + 8 + 5z – 5z – 9?
Answer:
7z-1 hope this helps
Step-by-step explanation:
Eddie is 13
3
4
years old. Lucas is 1
3
8
years younger than Eddie and Jane is 1
1
5
years younger than Lucas. How old is Jane?
Answer:
Jane is 11 7/40
Step-by-step explanation:
13 3/4- 1 3/8= 12 3/8
12 3/8- 1 1/5= 11 7/40
Therefore the answer is 11 7/40
