Solve for p.
4 - 3p = 22

Answer:

a-b+8=42
a-b=42-8
a-b=36
espero t sirva

Answer:

b=34

Step-by-step explanation:

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°

Given,

From the figure:

The triangle which of the following equations correctly represents the relationship between a ,b, c

Now, According to the question:

The relationship between the three sides of a triangle ABC is:

\(c^2 = a^2 + b^2 - 2ab cos (90)\)°

From the diagram,

The angle opposite to c is 90°

Thus, \(c^2 = a^2 + b^2 - 2ab cos (90)\)

Hence, The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°

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Answer:

22 1/2

Step-by-step explanation:

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Answer:

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Step-by-step explanation:

Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

The domain of the graph is {-5,-4,-3,-1}.

How can I determine a graph's domain?

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Answer:

complementary

Step-by-step explanation:

yes

The word that describes their measures of ∠1 and ∠2 is: complementary.

Recall:

From the information given, we know that:

m∠1 and m∠2 forms a right angle.

Since a right angle = 90 degrees, therefore:

m∠1 + m∠2 = 90° (complementary)

Therefore, the word that describes their measures of ∠1 and ∠2 is: complementary.

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Note that it is true to state that the expression (sec(x)+1)/tan(x) = (sin(x))/(1-cos(x)) is true for any known value of x except where cos(x) = 1 and x is an odd multiple of pi/2.

We can start by manipulating the left-hand side of the equation using the trigonometric identities for secant, tangent, and Pythagorean identity for sine and cosine:

(sec(x) + 1) / tan(x)

= (1/cos(x) + 1) / (sin(x)/cos(x))

= ((1 + cos(x))/cos(x)) / (sin(x)/cos(x))

= (1 + cos(x)) / sin(x)

= [(1 + cos(x)) / sin(x)] * [(1 - cos(x)) / (1 - cos(x))]

= [(1 + cos(x)) * (1 - cos(x))] / [sin(x) * (1 - cos(x))]

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

Therefore, we have shown that:

(sec(x) + 1) / tan(x) = sin(x) / (1 - cos(x))

Hence, the equation is true for any value of x, except where cos(x) = 1 and x is an odd multiple of pi/2.

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Full Question:

Note that the question seems incomplete. Thus, the rationale requirement here is to determine that the left side and the right side of the expression below are trully equal.

(sec(x)+1)/tan(x) = (sin(x))/(1-cos(x))

Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length  \(\sqrt{89}\) units and diagonals that differ by 5 units.

Diagonals of Rhombus:

A diamond's Rhombus is a line segment that connects two non-adjacent vertices of the diamond. A rhombus has two diagonals that bisect it at right angles. That is, they form four congruent right triangles. The rhombic diagonal formula is based on the area of ​​the diagonal, expressed as p = (2 × area)/q. where 'p' and 'q' are the two diagonals of the rhombus.

Now,

Label each half of the short diagonal as X.  

Label each half of the long diagonal as X+ 3.

The sides of the rhombus as \(\sqrt{89}\).

Each of the internal triangles will be figured the same.

We have a right triangle with one side X, one side X+3, and the hypotenuse \(\sqrt{89}\) .

According to the Pythagorean theorem, in a right triangle (90 degrees), the square of the hypotenuse equals the sum of the squares of the other two sides. The triangle ABC where BC2 = AB2 + AC2. where AB is the base, AC is the height (height), and BC is the hypotenuse. Note that the hypotenuse is the longest side of a right triangle.

Therefore,

Pythagoras' Theorem  :

(X)² + (X+3)² =   \((\sqrt{89} )^2\)

X² + X² + 6X + 9 = 89

2X² + 6X – 80 = 0  

This will factor to          

(2X + 16)(X – 5) = 0

Disregard the negative solution.  

Half of the short diagonal is 5 units.  

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Answer: 430 cm²

Step-by-step explanation:

1) Front x Back=  15 x 7  x 2= 210 (We do time 2 because there are two of the same shapes ex. there are two squares that are both 16 ft so just do 16 x 2)

2) Right x Left=  7 x 5 x 2 = 70

3) Top x Bottom=  15 x 5 x2 = 150

4) Add. 150 + 210 + 70 = 430 cm²

Hope that helped! :)

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

the area is simply the product of its width and length, so hmmm before doing so, let's change all the mixed fractions to improper fractions and then multiply.

\(\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} ~\hfill \stackrel{mixed}{4\frac{2}{7}} \implies \cfrac{4\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{30}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{5}\cdot \cfrac{30}{7}\implies \cfrac{21}{7}\cdot \cfrac{30}{5}\implies \cfrac{3}{1}\cdot \cfrac{6}{1}\implies \text{\LARGE 18}~in^2\)

The area of the rectangle is 18 \(inch^{2}\) and the perimeter is  \(16\frac{34}{35}\) inches.

We know that, Area of a rectangle = l * b

        and Perimeter of a rectangle = 2(l + b)

 Where, l = length of the rectangle

             b = breadth of the rectangle

According to the question, l = \(4\frac{1}{5}\) inch = \(\frac{21}{5}\) inch

                                             b = \(4\frac{2}{7}\) inch = \(\frac{30}{7}\) inch    

Area of the given rectangle = l* b

                                              =   \(\frac{21}{5}\) * \(\frac{30}{7}\)

                                              = 18 \(inch^{2}\)

The perimeter of the given rectangle = 2(l + b)

                                                              = 2( \(\frac{21}{5}\) + \(\frac{30}{7}\))

                                                              = 2 (\(\frac{297}{35}\))

                                                              = \(\frac{594}{35}\)

                                                              = \(16\frac{34}{35}\) inch

Hence, the area of the rectangle = 18 \(inch^{2}\)

and the perimeter =  \(16\frac{34}{35}\) inch

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On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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Answer:

p=143.2-1.2b

Step-by-step explanation:

Subtract 3b; 2.5p=358-3b

divide by 2.5; 143.2-1.2b

Answer:

there is the answer good luck

Answer: yo plug it into desmos its ez

Step-by-step explanation:

Answer:

plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.

Step-by-step explanation:

The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)

The variation equation in the scenario is y = 25/√x

The variation statement is given as:

y varies inversely with x sqr(x)

Inverse variations are represented as:

y = k/√x

Where k represents the constant of variation/proportionality

When y = 5, x = 25

So, we have:

5 = k/√25

Evaluate the exponent

5 = k/5

Multiply by 5

k = 25

Substitute k = 25 in y = k/√x

y = 25/√x

Hence, the variation equation is y = 25/√x

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Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

(0,2)

Step-by-step explanation:

Answer:it would help of you included a photo because the base is measured differently from the triangles

Step-by-step explanation:

75 miles per hour is the rate of train.

Formula of speed = distance/time

let,

s1 , speed of A train = s

s2, Speed of B train = s

t1, time of travel for train A = 2.5h

t2, time of travel for train B = 4 h

d1, distance traveled by train A

distance travel by train A = speed*time

                                         = s1*t1

d2, distance traveled by train B

distance travel by train A = speed*time

                                         = s2*t2

Total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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75 miles per hour is the rate of the train.

Given:

Find:

Solution:

Formula of speed = distance/time

Let us consider

Speed of A train(s1) = s

Speed of B train(s2) = s

Time of travel for train A(t1) = 2.5h

Time of travel for train B(t2) = 4 h

Distance traveled by train A(d1)

                                        = speed*time

                                        = s1*t1

Distance traveled by train B(d2)

                                        = speed*time

                                        = s2*t2

The total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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Answer:

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

The equivalent angle on the third quadrant is 214º.

The equivalent angle on the fourth quadrant is 316º.

Step-by-step explanation:

On the first quadrant:

The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.

In this question, the reference angle is 146º, which is on the second quadrant.

So, on the first quadrant:

146 = 180 - a -> a = 180 - 146 = 44.

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

Third quadrant:

The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So

2*180 - 146 = 360 - 146 = 214º.

The equivalent angle on the third quadrant is 214º.

Fourth quadrant:

The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So

360 - 44 = 316º

The equivalent angle on the fourth quadrant is 316º.

Answer:

---------------------------------

Given ratios:

Simplify the second ratio by dividing both parts by 3:

The ratio becomes:

We get same ratios so they are equivalent.

The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x²  - 3x − 5

From the question, we have the following parameters that can be used in our computation:

-4x² + 2x − 5 (1+x)

Open the brackets

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x

Collect the like tsrms

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x  - 5x − 5

Evaluate the like terms

This gives

-4x² + 2x − 5 (1+x) = -4x²  - 3x − 5

Hence, the expression that is equivalent to the given expression is -4x²  - 3x − 5

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