Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
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The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
In this diagram where is the line of reflection?
The line of reflection is the vertical line x = 1.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
The line of reflection is the vertical line passing through the midpoint of segment AA'.
Since A'(2,5) and A(-4,5) have the same y-coordinate, their midpoint is on the line y = 5.
Therefore, the line of reflection is the vertical line x = 1.
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Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number
Answer:
600
Step-by-step explanation:
what does 28-8 represent?
Step-by-step explanation:
subtraction if that wut u askim
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
Evaluate -9x-2 when x =-4
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Can you guys check these :) I’ll give brainleist :)
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
according to exponent rules, when we multiply like bases, we ______ the exponents
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
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Please help!!!
Explain and correct the error in this calculation.
Answer:
for more math help use the app called connects
I need help plzzzzzzzzzzzzzzzzz
Answer:
x=21
Step-by-step explanation:
I think we are supposed to assume that is a right angle which means 90-6= 84
84/4= 21
A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!
Answer:
I believe it's 11
Step-by-step explanation:
Sorry if I'm wrong
What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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If p = 2 and q = 8, the value of p3 + V64 q ls____
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
There are 20 boys and 16 girls. what is the largest number of groups that you can form such that boys and girls are distributed equally among the groups?
Answer:
Step-by-step explanation:
First we find the GCF or Greatest Common Factor
20: 1, 2, 4, 5, 10, 20
16: 1, 2, 4, 8, 16
As you can see 4 is the GCF (Greatest Common Factor)
so, the largest number of groups are 4
Unless you are asking for how many girls and boys can be fit in each group then,
20 ÷ 4 = 5
16 ÷ 4 = 4
So, 5 boys and 4 girls are in each group.
A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?
Answer:
mwe.n pa konen men tenyen ooooo
please help please help please help please help please help please help please help please help
Answer:
two
Step-by-step explanation:
ilxzc d cd cf trdc4rter
Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
Answer:
nile blue should be the correct answer
Step-by-step explanation:
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
what is the slope of the line 5x +2y = -15
Answer:
-5/2
Step-by-step explanation:
5x +2y = -15
-5x -5x
2y = -5x - 15
y = -5/2x - 7.5
y = mx + b
Slope (m) = -5/2
down 5, right 2
Describe the products made by the process of cellular respiration.
Step-by-step explanation:
The product is carbon dioxide and water
What is the least common multiple (LCM) of 3 and 5?
Answer:
the lcm of 3 and 5 is 15 I hope this helps
Step-by-step explanation:
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
A company that teaches self-improvement seminars is holding one of its seminars in Belmont. The company pays a flat fee of $250 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $14 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take?
Answer:
Step-by-step explanation:
250 for place 4 for books each.
If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.
250/10= 25 people to break even. Any people beyond that is a profit of 10.00 since the other 4 will still go to the books.
Find the inverse of the function f(x) = 2x - 4
The correct answer is f^-1(x)=1/2x+2.
1. Substitute y for f(x). ( y=2x+4 )
2. Interchange the variables x and y. ( x=2y-4 )
3. Swap the sides. ( 2y-4=x )
4. Move the constant to the right. ( 2y=x+4 )
5. Divide both sides by 2. ( y=1/2x+2 )
6. Use substitution to substitute f^-1(x) for y.
Thus the inverse is f^-1(x)=1/2x+2