Answer:
(9, -15)
Step-by-step explanation:
First, label the 2 equations:
-10x -6y= 0 -----(1)
-4x -6y= 54 -----(2)
(2) -(1):
(-4x -6y) -(-10x-6y)= 54 -0
-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)
-4x -6y +10x +6y= 54 (expand)
10x -4x= 54 (simplify)
6x= 54
x=54 ÷6
x= 9
susbt. x=9 into (1):
-10(9) -6y=0 (subst. x=9 into -10x-6y=0)
-90= 6y (bring y term to the other side)
6y= -90
y= -90 ÷6
y= -15
Thus, the solution is (9, -15).
The value of X is 9.
The value of y is -15.
Look at the attached picture
Hope it will help you
Good luck on your assignment
PLEASE HELP ME!! IM IN DESPERATE NEED OF HELP
The length of a rectangle is three times as long as its width. The width of this rectangle is 6 inches smaller than its length. Find the length and the width
Answer:
12
Step-by-step explanation:
Answer:
width is 3 and length is 9
Step-by-step explanation:
width is 3 bcs 3*3=9-6=3 satisfied?
Which are perfect squares? Check all that apply.
A) 9
B) 24
C) 16
D) 200
E) 169
F) 625
Answer:
A
Step-by-step explanation:
Answer:
A. 9
C. 16
E. 169
F. 625
Step-by-step explanation:
I need an answer quick!!!!
Answer:
investment 2 $400 Simple Interest Rate
Step-by-step explanation:
What is 8,080 divided by 37 as a decimal? A) 218.378 B) 218.378 C) 218.378 D) 218.3783
Answer:
218.378 is the answer.
Answer:
D
Step-by-step explanation:
Because it is repeating decimal.
Hope this helps.
Solve for y in the circle below.
(400)
(4x)
D180°
(27-20)
y = 15
!
!
!
Answer:
y = 40.
Step-by-step explanation:
The opposite sides of a cyclic quadrilateral sum to 180, so:
3y + 2y - 20 = 180
5y = 180 + 20 = 200
y = 40.
Answer these questions about finding the missing angle measures. What is the measure of ∠Q? What is the measure of ∠T? What can be concluded about these triangles?
Answer:
<Q = 44.4
<T = 44.4
The triangles are similar
Step-by-step explanation:
Both triangle QSR and triangle TUV are similar triangles since the corresponding angles are equal.
Similar figuresTwo figures are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence all the corresponding angles are similar.
From the diagram:
∠Q + ∠R + ∠S = 180° (angle in a triangle)
∠Q + 98 + 37.6 = 180
∠Q = 44.4°
∠T + ∠U + ∠V = 180° (angle in a triangle)
∠T + 98 + 37.6 = 180
∠T = 44.4°
Both triangle QSR and triangle TUV are similar triangles since the corresponding angles are equal.
Find out more on Similar figures at: https://brainly.com/question/2644832
Which statement is true?
Answer:
all parallelograms are rectangles
Step-by-step explanation:
the have 2 sets of parallel lines that are equal in length
giving a lot of pts. Which expression is equivalent to 7(a+2) when a=6
7(6)
9(6)
7(6+2)
7(6+14)
Answer:
9(6)
Step-by-step explanation:
i just took the test and yea!!!!!!!!
Answer:
D. 7(6)+4
Step-by-step explanation:
I tried the answer above me but it was wrong that's why I got 90/100
but here is the REAL ANSWER
Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
Answer:
6 and 18
6+6=12
18+6=24
12x2=24
Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B
Step-by-step explanation:
Solve the system of equations algebraically.
5x - 3y = 6
6x - 4y = 2
A.many solutions
B.(8, 14)
C.no solution
D.(9,13)
Step-by-step explanation:
It is a unique solution
5x-3y=6)*3
3x-2y=1)*5
15x-9y=18
15x-10y=5
-
________
y=13
x=9
Option D
Simplify the expression (10 + 3i)(10 - 3i)
91
109
100-30i
100+30i
Answer:
(10 + 3i)(10 - 3i)=109
Step-by-step explanation:
[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]
Answer:
B) 109
Step-by-step explanation:
I took the test and got a 100%
The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?
Answer:
Step-by-step explanation:
6 1/3 plus 8 5/6 is 15 1/6
20 17/30 minus 15 1/6= 5.4 or 5 2/5
what is the answer to 18x-5 < 3(6x-2) ?
Answer:
No solution
Step-by-step explanation:
18x - 5 < 3(6x - 2) Distribute the 3 to (6x - 2)
18x - 5 < 18x - 6
-18x -18x Subtract 18x from both sides
-5 < -6 There is no solution because -5 is not less than -6.
If this answer is correct, please make me Brainliest!
I WILL MARK THE BRAINLIEST THE SECOND I GET IT CORRECT. PLEASE HELP.
(3)/(10) x- (5)/(7) y-4 (5)/(6) y-2 (4)/(5) x
Answer:
is there a mulitply choice or no because i think i have the answer
Step-by-step explanation:
The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answer:
$3690
Step-by-step explanation:
Let's first find what percent of the original price it is being sold for.
100%-18%=82%
The water cooler is being sold for 82% of its original price.
Let's now find 82% of 4500.
0.82*4500=3690
The selling price is $3690
Answer:
3690
Step-by-step explanation:
the original price is 4500
for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be
18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Bill is going to build a ramp to his front
door. He knows that the anele of elevation
for the ramp should be 13° and that that
base of the door is 9 ft, above the ground.
How long is the ramp?
Answer: Cos13= 9/x x is about 9.2
Step-by-step explanation: cos13 =about .97 9/9.2=.97
Two similar prisms have surface areas that are 95
square inches and 1,520 square inches, respectively. How
many times larger is the second prism than the first prism?
Answer:
16 times larger
Step-by-step explanation:
Simple math here just do 1520/95=16 because your trying to find out how they scale to eachother, therefore finding out the difference in size by dividing.
Hope this helps:)
What is the value of x, tanx=7 to the nearest hundredth?
a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees
the answer is C. 81.87
Solve the equation in the image
Answer:
x=27
Step-by-step explanation:
√10x=3√x+3 square both sides
10x=9(x+3) multiply parenthesis by 9
10x=9x+27 move the variable to the left
10x-9x=27 collect like terms
x=27
Answer:
X= 8
Step-by-step explanation:
Bobby has 3 hats, 5 shirts, 10 pairs of pants, and 6 pairs of shoes, how many different outfits does Bobby have?
Answer:
900
Step-by-step explanation:
3*5*10*6=900
Evaluate 1+ (-2/3)- (-m) where m=9/12
Answer:
13/12
Step-by-step explanation:
1-2/3+9/12
least common denominator is 12
12/12 - 8/12+9/12
13/12
1. Show work and find the value of the circumference of the circle with a 12 cm radius.
Answer:
75.36
Step-by-step explanation:
3.14(pi) x 24(diameter) = 75.36(circumference)
In a given population, the percent of people with blue eyes is 32%. If 17 people from that population are randomly selected, what is the probability that exactly 9 of them will have blue eyes?
Choose one
3.91%
39.10%
52.94%
60.90%
Answer:
B i think
Step-by-step explanation:
mark brainliest
Please help! Surface Area
Answer: The surface area is 219.8 ft
Step-by-step explanation: the radius= 7 and the height=4
2(3.14 x 7) + (2 x 3.14 x 7) 4
43.96 + 175.84
219.8
Translate “4 less than five times a number is –11” into a mathematical equation.
Michael earns 12% commission on cell phone sales. He sold $549 worth of cell phones this week. How much did he earn in commission?
Answer:
Michael earns $69.88 in commission.
Step-by-step explanation:
549*0.12=69.88
20 POINTS
Triangle TUV is transformed according to the rule . (180º rotation about the origin)
What are the coordinates for U’ ?
a
(4, 6)
b
(4, –6)
c
(6, 4)
d
(6, –4)
Answer:
d. (6,-4)
Step-by-step explanation:
After 180° rotation:
(x , y) --> (-x,-y)
(-6,4) --> (6,-4)
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
Answer:
D
Step-by-step explanation:
By definition, any two lines that are parallel must have the same slope, since they are angled the same amount (they travel the same amount up over a certain sideways distance). Hope this helps!
The required slope of the red line is equal to 5. Option D is correct.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the parallel line is always equal, so as of the given condition if green and red lines are parallel then the slope of the red line is equal to the slope of the green line.
The slope of the red line = slope of the green line
The slope of red line = 5
Thus, the required slope of the red line is equal to 5, Option D is correct.
Learn more about slopes here:
https://brainly.com/question/3605446
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Which equation could be used to solve problems involving the relationships between the angles?
A) (12 + a) + (7a + 12) = 90
B) 90 + (12 + a) = (7a + 12)
C) (12 + a) − (7a + 12) = 90
D) (7a + 12) − 90 = (12 + a)
Answer:
c
Step-by-step explanation:
C) (12 + a) − (7a + 12) = 90