algebra applications: find the value of x and y​

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

Answer:

142 degrees

Explanation:

First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.

Answer:

142

Step-by-step explanation:

Then plug it in

Answer:

not sure if this is a right answer. but hope this helps

Step-by-step explanation:

The roots of the given quadratic equation are x=-1.6 and x=-6.4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

here, we have,

given that,

The given equation is x² - 8x + 41 =0.

The given equation can be solved using quadratic equation formula.

Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.

Quadratic equation formula x = -b±√b² - 4ac / 2a

Now, x= -8 ± √ 64 - 41 / 2×1

⇒ x= -8 ± √23 / 2

⇒ x= -8 ± 4.8 /2

⇒ x=-1.6 or x=-6.4

Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.

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Answer:

(3,18)

Step-by-step explanation:

Can you please send image clearly ?

Answer:

y = 2/3x + 4

Step-by-step explanation:

Answer:

N=0

Step-by-step explanation:

If we wanted to answer the question mathematically, we could solve like so:

17n=0.5n

17n-0.5n=0.5n-0.5n

16.5n=0

n=0

Answer:

I think its D

Answer: ∠JKM = 106\textdegree and

∠JKM = 74\textdegree

Step-By-Step-Explanation

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So,

∠JKM =

and

∠MKL =

Answer:

50%

Step-by-step explanation:

3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.

Answer:

A.50%

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

3( x-4)= -18

Divide each side by 3

3( x-4)/3= -18/3

x-4= -6

Add 4 to each side

x-4+4 = -6+4

x = -2

Answer:

x+ -2

Step-by-step explanation:

-18/3= -6  -6+4=-2

Answer:

The answer is C on Edge or "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!

Answer: X60 degrees Y40 degrees

Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40

Answer: B) eight decreased by a number

Step-by-step explanation:

decreased = subtraction, therefore, eight decreased by a number is 8 - m.

Answer:

10 ft^3

Step-by-step explanation:

if a cube is 1/3ft then 3 cubes = 1ft

then 30 cubes = 10ft^3

Answer:

38

Step-by-step explanation:

Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!

Answer: 38°

Step-by-step explanation:

180-88 = 92°

180-92-50= 38°

Answer:

10 and 8

Step-by-step explanation:

Case 1:

20 and 2

20 = 2^2 x 5

2   = 2^1

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 2:

10 and 8

10 = 2 x 5

8  = 2^3

=> LCM = 2^3 x 5 = 40

=> GCF = 2

=> Correct pair of numbers

Case 3:

10 and 4

10 = 2 x 5

4  = 2^2

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 4:

8 and 5

8 = 2^3

5 = 5 x 1

=> GCF = 1 (not 2)

=> Incorrect pair of numbers

Hope this helps!

:)

The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.

The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.

Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.

Let the two numbers be x and y

Now, we know that,

LCM (a, b) × HCF (a, b) = a × b.

40 ×  2 = xy

xy = 80

Therefore, the product of two number is 80.

Now, from the given options, the only pair having product 80 is 8 and 10.

Therefore, the numbers are 8 and 10.

Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.

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Answer:

y = x + 4

I graphed all the points, and the line that goes through AB is y = x - 6. The bases of a trapezoid are parallel, so the slope on the line CD has to be the same. I graphed the point C and just tried different y-intercepts to see which line would go through C.

C. Find the sum of the two horizontal in the summer for two vertical vectors.

Answer:

Can confirm C is right i got 100 on the unit test

Step-by-step explanation:

Answer:

730.61664

Step-by-step explanation:

area equals πr2=π·15.252≈730.61664

Answer:

829.15625 units squared

Step-by-step explanation:

The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

cos(x) cos(-x) - sin(x) sin(-x) = 1

Hint: | Cosine is an even function.

Use the identity cos(-x) = cos(x):

cos(x) cos(x) - sin(-x) sin(x) = ^?1

Hint: | Sine is an odd function.

Use the identity sin(-x) = -sin(x):

cos(x) cos(x) - -sin(x) sin(x) = ^?1

Hint: | Evaluate cos(x) cos(x).

cos(x) cos(x) = cos(x)^2:

cos(x)^2 - ( - sin(x) sin(x)) = ^?1

Hint: | Evaluate -(-sin(x)) sin(x).

-(-sin(x)) sin(x) = sin(x)^2:

cos(x)^2 + sin(x)^2 = ^?1

Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.

Substitute cos(x)^2 + sin(x)^2 = 1:

1 = ^?1

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer: (identity has been verified)

Answer:

0, 120, 120, 150

Step-by-step explanation:

0, 120, 120, 150

Just multiply the speeds by the hour.

0 * 60 = 0

2 * 60 = 120

120 + 0 * 0.5 = 120

30 * 1 + 120 = 150

Answer:

[tex]Area=25\,\,in^2[/tex]

Step-by-step explanation:

The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".

Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).

We use the other information provided to represent the rectangle's with (y) in terms of "x" :

length + width = 10 inches

x + y = 10

Therefore,   y = 10 - x

Now we use this expression for "y" in the product for the area;

[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]

Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.

Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]

is given by:

[tex]x_{vertex}=-\frac{b}{2a}[/tex]

which in our case where "a" = -1 and "b" = +10, gives:

[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]

Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:

[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]

Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]

Answer:

x = 18

Step-by-step explanation:

This problem can be solved using concept of Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]

_________________________________________

Given in the problem

a = 24

b = x

h = x+12

applying Pythagoras theorem

[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]

for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Thus, value of x is 18.

Answer:

1. 14

2. 1/8

3. 7/8

Step-by-step explanation:

Answer: 0.83

Step-by-step explanation:

The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.

[tex]\frac{5}{6} =0.83[/tex]

Answer:

0.83 with the 3 as the repeating number (3 with the line over it)

Step-by-step explanation:

5 divided by 6

Answer:

15

Step-by-step explanation:

f(x)=5x

g(x)=3x+3

(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15

(fog)(0)=15(0)+15=15

Answer:

15

Step-by-step explanation:

First find g(0) =

g(0) = 3*0 +3

g(0) =3

Then put this into f(x)

f(g(0) ) = f(3) = 5*3 = 15