What is the value of x? Enter your answer in the box.

Answer: Fourth option. 55 mistakes

Solution:

Please, see the attached graph.

Thanks.

If you assume the rental cost changes in a linear fashion, the change over 6 years was $44. The "unit rate of change" is then $44/(6 years) ≈ $7.33/year.

Answer:

The correct options are a and b.

Step-by-step explanation:

It is given that triangle ABC with segment AD drawn from vertex A and intersecting side BC.

Two triangle are called similar triangle if their corresponding sides are proportional or the corresponding interior angle are same.

To prove ΔABC and ΔDBA are similar, we have to prove that corresponding interior angles of both triangle as same.

If segment AD is an altitude of ΔABC, then angle ADB is a right angle.

[tex]\angle BDA=90^{\circ}[/tex]

The opposite angle of hypotenuse is right angle. If segment CB is a hypotenuse, then angle ABC is a right angle.

[tex]\angle BAC=90^{\circ}[/tex]

In triangle ΔABC and ΔDBA

[tex]\angle ABC\cong \angle DBA[/tex]              (Reflexive property)

[tex]\angle BAC\cong \angle BDA[/tex]              (Right angles)

By AA rule of similarity ΔABC and ΔDBA are similar.

Therefore correct options are a and b.

The slope we can get from using this y1-y2/x1-x2

so

10-3/-5-1=7/-6=-1 1/6

There's your slope

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

                                                                              (4/25)*sqrt(21).

Answer:

The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]                                                                            

Step-by-step explanation:

Given : [tex]\sin \thet=\frac{2}{5}[/tex] and  [tex]0<\theta<90[/tex]

To find : The value of [tex]\sin^2\theta[/tex] ?

Solution :

We have given the value of [tex]\sin \thet=\frac{2}{5}[/tex] and  [tex]0<\theta<90[/tex]

To find [tex]\sin^2\theta[/tex] we just have to square [tex]\sin\theta[/tex]

[tex]\sin \theta=\frac{2}{5}[/tex]

Squaring both sides,

[tex](\sin \theta)^2=(\frac{2}{5})^2[/tex]

[tex]\sin^2 \theta=\frac{4}{25}[/tex]

Therefore, The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]

Answer: 16x^4

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle, hence

x + 1 + x + 2 + x + 2 = 32

3x + 5 = 32 ( subtract 5 from both sides )

3x = 27 ( divide both sides by 3 )

x = 9

EF = x + 1 = 9 + 1 = 10

FG = x + 2 = 9 + 2 = 11

EG = x + 2 = 9 + 2 = 11

check : 10 + 11 + 11 = 32 ← perimeter

Answer:

Step-by-step explanation:

Given that the plane passes through (1,3,3)

Also the plane contains the line x(t)=3t,y(t)=2t,z(t)=4+3t.

This means all points lying in this line will also lie in the plane.

Find out two points on this line.

First point: Let t =0.  Point is (0,0,4)

Next point : Let t = 1: Point is (3,2,7)

Now we have 3 non collinear points (0,0,4) (3,2,7) and (1,3,3) lying on the plane.

Equation of the plane is

[tex]\left[\begin{array}{ccc}x-0&y-0&z-4\\3&2&3\\1&3&-1\end{array}\right] =0[/tex]

Simplify to get

x(-2-9)-y(-3-3)+(z-4)(9-2)=0

i.e -11x+6y+7z-28 =0

11x-6y-7z+28 =0 is the equation of the plane.

Answer:

12.1

Step-by-step explanation:

We use the formula for the distance between two arbitrary points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the xy-coordinate plane, that is:

[tex]d=\sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}[/tex]

So, replacing the points [tex]M=(2,16)[/tex] and [tex]M_2=(-3,5)[/tex], we obtain:

[tex]d=\sqrt{(2-(-3))^2 + (16-5)^2}\\d=\sqrt{(2+3)^2 + (16-5)^2}\\d=\sqrt{5^2 + 11^2}\\d=\sqrt{146 }=12.083045... \simeq 12.1[/tex]

that is the answer.

note: observe that we only use the coordinates between the two midpoints and not the point J.

You must get two equation to find point of intersections

Answer:

x = (2,0)

y = (0,4)

Step-by-step explanation:

Solve For x:

Lets take y as 0 so the equation is 0 = -2x + 4, and if we simplify the expression we get x = 4/2 which s x = 2 so the answer for x is (2,0)

Solve for y:

Lets take x as 0 so the equation is y = -2 · 0 + 4 which simplyfied to y = 4, so the answer for y is (0,4)

(b)

A polynomial has the form

[tex]a_{0}[/tex][tex]x^{n}[/tex] ± [tex]a_{1}[/tex][tex]x^{n-1}[/tex] + ....

the only expression fitting this description is : x² + 2x + 7

d = 46t

           d = 46(7)

           d = 322 miles                          (7, 322)

            d = 46(12)

            d =   552 miles                      (12, 552)

            d = 46(18)

           d = 828 miles                          (18, 828)    

Answer:

bc

Step-by-step explanation:

The multiplication property of equality tells you that you can multiply both sides of the equation by the same amount. Choose that amount to be bd, the product of the denominators.

[tex]\dfrac{a}{b}=\dfrac{c}{d}\\\\\dfrac{a\cdot bd}{b}=\dfrac{c\cdot bd}{d}\\\\ad\dfrac{b}{b}=bc\dfrac{d}{d}\\\\ad=bc[/tex]

Answer: No, it is not enough to make 2 batches of Mac and cheese and 3 pizzas.

Step-by-step explanation:

Since we have given that

She needed 6 ounces of cheese and 2 tablespoons of basil for each batch of her Mac and cheese.

Now,

For every two pizzas she needed 16 ounces of cheese and 5 tablespoons of basil.

So, for 2 batches of Mac and cheese she needed = 12 ounces of cheese

and if for 2 pizzas she needed = 16 ounces of cheese

For 1 pizza she needed = 8 ounces of cheese

For 3 pizza she needed = 8× 3=24 ounces of cheese

Total requirement of cheese = 24+ 12=36 ounces

But she only buys 32 ounces package of cheese .

So, it is not enough to make 2 batches of Mac and cheese and 3 pizzas and 4 ounces is still needed i.e.

36-32 =4 ounces .

Lena bought a 32 oz package of cheese, and since 60 ounces is greater than 32 ounces, she does not have enough cheese to make 2 batches of Mac and cheese and 3 pizzas with her current supply.

If Lena has enough cheese to make 2 batches of Mac and cheese and 3 pizzas.

Each batch of Mac and cheese requires 6 ounces of cheese, and she wants to make 2 batches,

so that's 6 ounces * 2

= 12

Each pizza requires 16 ounces of cheese, and she wants to make 3 pizzas,

so that's 16 ounces * 3

= 48

In total, for the Mac and cheese and the pizzas,

Lena needs 12 ounces + 48 ounces

= 60 ounces of cheese.

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The amount of money remaining in Luisa's account is her original balance minus the amount of the check she wrote:

$541.82 - 27.19 = $514.63

Here we're moving the decimal point in 0.176 one place to the left.  Thus, x = -1.  Note that 1.76*10^(-1) = 0.176.

Hey there!!

Given :

[tex]0.176 = 1.76 * 10^{x}[/tex]

If we place -1 in place of ' x ', we get the required answer.

Hence, x = -1.

Hope my answer helps!!

Answer:

No.

Step-by-step explanation:

You have to imagine (or create a physical model so you can see) that the left and right frame pieces are joined to the top frame piece. The angle each "vertical" piece makes with the horizontal is the sum of the angles shown at each corner: 37° + 50° = 87°.

The angles at each of the corners constitute same-side interior angles where the horizontal transversal crosses the "vertical" lines of each of the side pieces. If the side pieces were parallel, those angles would be supplementary (add to 180°). Instead, they add to 87° + 87° = 174° ≠ 180°. Hence the "verticals" are not parallel.

_____

Usually, a "square" frame has right-angle corners. Here, the corner angles add to 87°, a few degrees short of a right angle. The effect will be to make the side pieces closer together at the bottom than they are at the top. (Parallel lines are the same distance apart everywhere.)

The answer is c since it has a slope of 1/5 and a y-intercept of 1

Remark

So far what you have is the y intercept which according the graph, is (0,1)

The general equation is y = mx + b

If you put the following point (0,1) into the general line formula, you will get b

Givens

y = 1

x = 0

Solve

Substitute the givens into the general line

1 = m*0 + b            The m is no longer there.

b = 1                       The y intercept is 1

So far what you have is

y = mx + 1

The problem tells you that the slope (m) = 1/5

The equation is y = (1/5)x + 1

None of the answers are correct. There is no x anywhere that is right. If x was present, the answer would be C.

The appropriate choice is ...

.... A. The student failed to keep both sides of the equation balanced

_____

The one rule I learned in my study of Algebra that makes it all make sense is "keep the equal sign sacred." That is, whatever you do to one side of the equation must also be done to the other side of the equation. (Various teachers show various shortcuts that make it look like you're doing different things to the different sides of the equation. Don't be confused. If the operation can't be put in terms of doing the same thing to both sides, it doesn't work.)

Of course, you can always add 0 or multiply by 1 whenever and wherever you want.

_____

For the above equation, the appropriate solution is

... a + 3 = 9

... a + 3 - 3 = 9 - 3 . . . . . . addition property of equality

... a + 0 = 6 . . . . . . . . . . . .rules of arithmetic

... a = 6 . . . . . . . . . . . . . . . additive identity property of 0

When you write expressions like this, you need to pay attention to the Order of Operations. As this is written, the only factor in the denominator is the one immediately after the division symbol: 7. This simplifies to

... (35/7)·x^(3+2)·y^(5+4) = 5x^5y^9

_____

We suspect you might intend ...

... (35x^3y^5)/(7x^2y^4) = (35/7)x^(3-2)y^(5-4) = 5xy

Answer: 33 and 11

Step-by-step explanation: Both 11 and 33 would be the answr because 11 by the 2wice would be 33, and also 11 it's self would be the answer.

The numbers are x = 33 and y = 11 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that one number is 11 more than twice another number and the sum of the numbers is twice their difference

Assume that the numbers are (x) and (y). Then, we can the model the equation as follows -

x = 2y + 11

x + y = 2(x - y)

Simplifying the equations, we can write -

x + y = 2(x - y)

x + y = 2x - 2y

2x - x - 2y - y = 0

x - 3y = 0

y = x/3

Put y = x/3 in x = 2y + 11, we get -

x = 2x/3 + 11

x - 2x/3 = 11

x/3 = 11

x = 33

then y = 33/3 = 11

Therefore, the numbers are x = 33 and y = 11 respectively.

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9x^2 + 27x + 18 . hope i helped

The factors of the quadratic equation are (-3 - √11i) and (-3 + √11i).

A quadratic equation is an algebraic equation of degree 2.

Given a quadratic equation 9x² + 27x + 45 = 0.

We know simplifying a quadratic equation doesn't change the roots of the equation.

∴ We can divide each of the terms by 9 which makes the quadratic equation x² + 3x + 5 = 0.

Now two numbers which multiplied to 5 and add to 3 are not possible for  real numbers, therefore, the roots must be imaginary.

We know Sridhar Acharya's formula which is [tex]\frac{ - b \pm\sqrt{b^2 - 4ac}}{2a}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{3^2 - 4.1.5}}{2.1}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{9 - 20}}{2}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{-11}}{2}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{11}i}{2}[/tex].

Therefore the factors of the quadratic equation are

(-3 - √11i) and (-3 + √11i).

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1. You can make use of the Pythagorean theorem considering "a" to be the longer leg of the largest right triangle. Then the value of "a" can be calculated from

(16+9)² = 15² +a²

625 -225 = a²

√400 = a = 20

2. You can find the altitude of the largest triangle (the length of the unmarked vertical line), then find "a" as the hypotenuse of the medium-sized right triangle.

That altitude is ...

√(15² -9²) = √144 = 12

so the length "a" is ...

a² = 12² +16² = 144 +256 = 400

a = √400 = 20

3. Based on the 15 and 9 dimensions of the smallest right triangle, you can realize that these triangles are multiples of the 3-4-5 right triangle. Then you can use relevant ratios of the side lengths of any of the triangles of which "a" is a part.

a = 4/3×15 = 4/5×(9+16) = 5/4×16 = 20

Hey there!!

Given equation :

... [tex]\frac{x}{2} + 3 = -5[/tex]

Subtracting 3 on both sides :

... [tex]\frac{x}{2} = -8[/tex]

Multiplying 2 on both sides :

... [tex]x = -16[/tex]

Hope my answer helps!!

the answer for x would be -16