What are the values of x and y in the matrix equation below?
X+4
y^2+1
+
-9x
-17
=
28
0

Answer:

x=2

Step-by-step explanation:

5x - 6(x + 1) + 8 = 0

Distribute

5x -6x-6+8 =0

Combine like terms

-x+2 = 0

Add x to each side

-x+2+x = 0+x

2 =x

Answer:

x=100

Step-by-step explanation:

Because they are vertical angles, AEG=FEB

You can see that FED+DEB=FEB

Therefore, 80+20=FEB=100

Since FEB=100 and FEB=AEG

AEG=100

Answer:

100°

Step-by-step explanation:

In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.

ACE = 20°

FED = 80°

FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°

hope this helps, brainliest is appreciated.

Answer: its C

Step-by-step explanation:

Answer: Number 3 is the correct answer.

Step-by-step explanation:

Answer:

a) 67.4°

b) 5.0 ft

Step-by-step explanation:

Now we have to use the trigonometric ratios to obtain the angle between the ladder and the level ground. Remember that the problem is a right angled triangle problem.

Let the hypotenuse of the triangle (length of the ladder) be c = 13 ft

Let the distance between the ladder and the ground be a

Let the height from the ground to the top of the ladder be b =12 ft

From;

Sinθ= opposite/hypotenuse

Sinθ= 12/13

Sinθ= 0.9231

θ=Sin^-1(0.9231)

θ= 67.4°

b) distance between the ladder and the foot of the building is obtained from

Cosθ= adjacent/hypotenuse

Adjacent= unknown

Hypotenuse= 13ft

θ= 67.4°

Cos(67.4°) = adjacent/13

Adjacent= cos (67.4°) ×13

Adjacent= 5.0 ft

Answer:

a. x ≈ 67°(nearest degree)

b. distance = 5. 1 ft (nearest tenth)

Step-by-step explanation:

A 13 ft ladder is placed on level ground leans against the side of a house . The ladder reaches a point that is 12 ft up the side of the house. The illustration forms a right angle triangle.

a. The right angle triangle formed has it opposite sides as 12 ft and it hypotenuse side as 13 ft. The angle formed between the ladder and the floor can be solved using sine ratio. Therefore,

let

x = angle

sin x = opposite/hypotenuse

sin x = 12/13

sin x = 0.92307692307

x = sin ⁻¹ 0.92307692307

x = 67.3801350509

x ≈ 67°(nearest degree)

b.  If the same 13 ft ladder is placed against the building using the same angle formed .

The distance between the the foot of the ladder and the foot of the building is the adjacent side of the triangle. Therefore, using the angle formed.

cos 67° = adjacent/hypotenuse

cos 67° = adjacent/13

cross multiply

adjacent = 13 cos 67°

adjacent = 13 × 0.39073112848

adjacent = 5.07950467036

distance = 5. 1 ft(nearest tenth)

Answer:

[tex]x=-28[/tex]

Step-by-step explanation:

[tex]x+5=-23\\x=-23-5\\x=-28[/tex]

Answer:

x = -28

Step-by-step explanation:

x-(-5) = -23

Subtracting a negative is adding

x+5 = -23

Subtract 5 from each side

x+5-5 = -23-5

x = -28

Answer:

Subtract the second equation

from the first equation

Hope this helps.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

KFC or KCF

3/4 times 4/1= 12/4 which is 3

Answer:

Solve the numbers in the brackets first

9+3 = 12

12/2 = 6

14-5 = 9

9 × 3 = 27

Take the answers got from the two brackets and multiply them together

6×27 = 162

Answer:

Step-by-step explanation:

Use PEDMAS

First the inner parenthesis

i) (9+3) & (14-5)

ii) [12 ÷ 2] & [3*9]

iii) {6- 2}

{[(9 + 3) ÷ 2] - 2} * [3*(14 - 5)]={[12 ÷ 2] - 2} * [3*9]

                                            = {6-2}* [27]

                                             = 4 * 27

                                             = 108

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

√81 = 9

So, √83 will be closest to 9

Answer:

MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]

From the formula of the distance between two points,

[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]

Similarly, OP

[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]

Therefore, OP

[tex]= \frac{1}{2}(MN)[/tex]

and MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Answer:

A. $3992.50

Step-by-step explanation:

Credit line - $8,000.00

Summary

Available credit= credit line - new balance = $8000 - $4007.50= $3992.50

Answer:

$3992.50

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.

Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the options are as follows:

Hence, the total number of options given by:

[tex]N = 4 \times 3 \times 4 = 48[/tex].

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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Answer:

x=8in

Step-by-step explanation:

Let the unknown side=xin

Hypotenuse^2=opposite^2+adjacent^2

Hyp=17in

Opp=xin

Adj=15in

Hyp^2=opp^2+adj^2

17^2=x^2+15^2

17^2-15^2=x^2

289-225=x^2

64=x^2

x=√64

x=8in

Answer: D

Step-by-step explanation:

Write it down. p = q = r

So therefore they are all equal to each other

Answer: p = r

Step-by-step explanation:

p = q, q = r

Therefore, p has to equal r

I like to refer to this situation as the 'triangle of equivalence'.

Answer:

Thats cool ;))

Step-by-step explanation:

Answer:

MOOD

Step-by-step explanation:

So yall, hows quarentine!?

Answer:

16

Step-by-step explanation:

Triangle area = (1/2)*b*h

Base = b = 4

Height = h = 8

Area = (1/2) * 4 * 8 =  16

The area of the polygon shown in the figure is 16 unit square.

A polygon is a closed figure made up of three or more line segments connected end to end.

Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

WE can see from the given figure;

The Base = b = 4

The Height = h = 8

The Area of figure = (1/2) * 4 * 8

The Area of figure =  16

Hence, the area of the polygon shown in the figure is 16 unit square.

Learn more about the triangles here;

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Answer:

[tex]Initial- Velocity = 0\\Final- velocity = 25m/s\\Time = 6.0\\Acceleration = \frac{Final-velocity-initial-velocity}{time} \\Acceleration = \frac{25-0}{6} \\Acceleration = \frac{25}{6} \\Acceleration = 4.167[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) ∠AED = ∠ BEC

2) ∠AEB = ∠DEC

3) ∠DEC = ∠AEB

4) ∠CEB = ∠AED

Answer:

my boi

Step-by-step explanation:

*Answer:

Super Easy for Geometry!

Step-by-step explanation:

So, the combination of all those angles is 360*, since a complete circle is 360*. Now, I don't know what I have to find, but I assume its x.

So, the sum of all those angles is 360*. This means that we just need to add all them together, solve, and we have our x.

Now, see that square where in the angle? That generally means it is 90*.

Thus:

[tex]90+4x+x+x=360[/tex]

Now, let's solve!

[tex]6x=270\\x=45[/tex]

So, there is your x!

Hope this helps!

(P.S. This Geometry is very, very, very easy compared to everything else in it(Trigonometry, Tangents, and Heron's Formula))

Answer:

you are diluting it 8/5 times, or 1.6 times.

You could make 230*1.6 ml of 5 percent lotion.

If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The amount of benzocaine in 300 ml solution is,

Amount = 0.08 × 300 = 24ml

Since after the dilution the amount of benzocaine will be the same, therefore, we can write,

0.05 of X ml = 24 ml

X = 24/0.05

X = 480 ml

Hence, If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

Learn more about Percentages:

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Answer:

[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Step-by-step explanation:

The expression given is:

[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]

Difference of two squares:

[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]

The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.

Given :

[tex]f(x) = 5x^4-80[/tex]

The following steps can be used in order to determine the factors of the given function:

Step 1 - Write the given function.

[tex]f(x) = 5x^4-80[/tex]

Step 2 - Take out 5 as common in the above function.

[tex]f(x) = 5(x^4-16)[/tex]

Step 3 - Now, try to factorize the above function.

[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]

From the above steps, it can be concluded that the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/6810544

Answer: 1018 sq. mm.

Step-by-step explanation:

Area = πr^2

= π x 18^2

= 324π

The required area of a circle is 1018 millimeters² with a diameter of 36 millimeters.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

As per the question, we have

The diameter of the circle = 36 millimeters

The radius of the circle = diameter/2

The radius of the circle = 36/2 = 18 millimeters

The area of the circle = πr²

The area of the circle = π × 18²

The area of the circle = 3.14 × 324

The area of the circle = 1018

Thus, the required area of a circle is 1018 millimeters² with a diameter of 36 millimeters.

Learn more about the area of the circle here:

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Answer:

1/10

Step-by-step explanation:

Of means multiply and is means equals

3/5 * 1/6 =

3/30

1/10

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to multiply the numerators by each other and the denominators by each other and reduce if needed.

[tex]\frac{3}{5} \times\frac{1}{6}[/tex]

[tex]3\times1=3[/tex]

[tex]5\times6=30[/tex]

[tex]=\frac{3}{30}[/tex]

Now reduce:

[tex]3 \div3=1[/tex]

[tex]30\div3=10[/tex]

[tex]=\frac{1}{10}[/tex]

Hope this helps.

Answer:

A =10 ft^2

Step-by-step explanation:

We need to find the area of the piece

A = l*w

A = 2/5 * 25

A = 2 * 25/5

A =2 * 5

A =10 ft^2

Answer:

area = 10

Step-by-step explanation:

2/5 x 25= 10

Answer:

C ( -1, 3 )

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

Side of land = 55 m (Approx)

Step-by-step explanation:

Note: The given question is incomplete.

Given:

The land is in square shape.

Area of the land = between 3000m² and 3100m²

Find:

Approx side of the land.

Computation:

Side of land = [tex]\sqrt{Area\ of\ land}[/tex]

Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]

Side of land =[tex]54.77\leq side \leq 55.67[/tex]

Therefore, Side of land = 55 m (Approx)

8:3

24 / 3 = 8

9 / 3 = 3

48:18

48 / 2 = 24

18 / 2 = 9

Answer:

A. 8:3

24/3 = 8

9/3 = 3

B. 48:18

48/2 = 24

18/2 = 9

Answer: C) f ≥ 35s - 200

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

She needs 35 frames (f) per second (s) ( we have to multiply the number of frames by the number of seconds) f ≥ 35s

She has already 200 frames (since we already have, we can subtract that to the needed frames per second)

f ≥35s -200  

Feel free to ask for more if needed or if you did not understand something.

Answer:

62○

Step-by-step explanation:

To find the angle all you have to do is subtract 118○ from 180○ to get 62○. Because 180○ is a straight line! :)

Answer:

X = 62

Step-by-step explanation

To start we make x go next to 118 so they make a supplementary angle. We add x and 118 to make 180.

118 + X = 180, OR 180 - 118 = x

X = 62