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Let's simplify step-by-step.

2a(x+y)+b(x+y)

Distribute:

=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)

=2ax+2ay+bx+by

The simplification of the expression is 2ax+2ay+bx+by.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.

Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,

E = 2a(x+y)+b(x+y)

Multiply the values in the whole bracket and simplify,

E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)

E = 2ax+2ay+bx+by

The simplified expression is given as 2ax+2ay+bx+by.

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Answer:

  (c)  y^2/16 -(x -7)^2/9 = 1

Step-by-step explanation:

The center, focus, and vertex are on a vertical line, so the hyperbola opens in the direction of the y-axis. The y-term will have the positive coefficient.

The vertex-center distance in the y-direction is 4, so the denominator of the y-term is 4^2 = 16. The denominator of the x-term is 5^2 -16 = 9, where 5 is the center-focus distance.

The equation is ...

  y^2/16 -(x -7)^2/9 = 1

We want to write and solve an equation that represents the given situation. The equation we will find is (9/10)*a = 45, and its solution is a = 50.

So we know that 9/10 of the apples in the basket are red, and we know that there are 45 red apples.

Then, if we define a as the total number of apples, we know that (9/10) times a must be equal to 45, we can write this as:

(9/10)*a = 45

This is the equation that we must solve.

We can solve this if we multiply both sides by (10/9), it gives;

(10/9)*(9/10)*a = (10/9)*45

a = (10/9)*45 = 50

This means that there are 50 apples in the basket.

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Answer:

Y=[tex]\frac{2}{3}[/tex]x+4

Step-by-step explanation:

Slope formula is y=mx+b

This is because the slope is 2 over 3: “rise over run”

Slope = m so: y=[tex]\frac{2}{3}[/tex]X+b

We need to find be, that easy because to find b, we have to look at the y axis. Were does the line intercept the y axis?

It is at (0,4) or just simply “4”

Now plug in b=4 into the equation:

y=[tex]\frac{2}{3}[/tex]X+4

Answer:

68

Step-by-step explanation:

because 180-44=136

136:2=68 (since TRS=TSR, there is formula)

Answer:

  (3, -6)

Step-by-step explanation:

The orthocenter is the point of intersection of the altitudes of the triangle. That is, each altitude goes through the orthocenter. Hence, the line from any given vertex through the orthocenter is perpendicular to the opposite side.

The attached figure shows the given points labeled A and B. Point A lies on the x-axis, as does the orthocenter, so the side opposite will be a vertical line (perpendicular to the x-axis).

The remaining side of the triangle will be perpendicular to the line from B through the origin. The line through B has slope 4/3, so the line containing side AC will have slope -3/4 and will go through point A. Its point-slope equation will be ...

  y -0 = -3/4(x +5)

We already know the x-coordinate of vertex C is the same as that of vertex B, so is x=3. Using this in the equation for side AC, we find the y-coordinate to be ...

  y = -3/4(3 +5) = -6

The coordinates of point C, the third vertex, are (3, -6).

_____

Additional comments

The slope of a line is given by ...

  m = (y2 -y1)/(x2 -x1)

When (x1, y1) = (0, 0), this reduces to ...

  m = y2/x2 . . . . . . the relation we used for the slope of line OB

__

The slope of a perpendicular line is the opposite reciprocal of the slope of a line. The line perpendicular to the one with slope 4/3 will be -1/(4/3) = -3/4.

__

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Answer:

[tex]y^{2}=x[/tex]

Step-by-step explanation:

all of the other equations are functions as y is to the power of 1. since y is to the power of 2 in answer choice A, it would form a sideways parabola that does not pass the vertical line test.

Answer:

the answer is a because I did the math

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

The current flowing in the AC circuit is 0.11 A.

The given parameters:

The impedance of the circuit is calculated as follows;

[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]

The current in the AC circuit is calculated as follows;

[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]

Thus, the current flowing in the AC circuit is 0.11 A.

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The charge of the electrons is [tex]8.02 \times 10^{-19} \ C[/tex].

The given parameters:

The angular speed of the electron is calculated as follows;

[tex]\omega = 2\pi N\\\\\omega = 2\pi \ \frac{rad}{1 \ rev} \times 1.4 \times 10^6 \ rev/s\\\\\omega = 8.798 \times 10^6 \ rad/s[/tex]

The charge of the electrons is calculated as follows;

[tex]F_c= m\omega ^2 r\\\\F_{B}= qvB = q\omega r B \\\\F_c = F_B\\\\m\omega ^2 r = q\omega r B \\\\q = \frac{m\omega ^2 r}{\omega r B} \\\\q = \frac{m \omega }{B} \\\\q = \frac{9.11 \times 10^{-31} \times 8.798 \times 10^6}{10^{-5}} \\\\q = 8.02 \times 10^{-19} \ C[/tex]

The charge of the electrons is [tex]8.02 \times 10^{-19} \ C[/tex].

The complete question here:

Electrons execute 1.4*10^6 revolutions per sec in a magnetic field of flux density 10⁻⁵ T. What will be the value of charge of the electron?

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Answer: {x,y} = {-3,-4}

Step-by-step explanation:

Answer:

2

Ok lets start off with your 3 numbers

First do 10 / 5 = 2

Then do 12 / 6 = 2

After that do 20 / 10 = 2

now you see you that its all equivalent to 2 that's your answer!

Answer:

  x + y -z = 6

Step-by-step explanation:

The equation of the line can be rewritten as ...

  (x, y, z) = (2, -3, 0) +t(1, 1, -1)

The direction vector of the line tells you the coefficients of the variables in the equation of the plane. The constant in that plane equation will be the value required to make it pass through the given point.

  x + y - z = (-1) +(4) -(-3)

  x + y - z = 6 . . . . equation of the plane

Answer:

66 degrees.

Step-by-step explanation:

angle 4 is 124, and angle 1 and 4 make 180 degrees. that means angle 1 is 56 degrees (180-124). and the total angle in a triangle is also 180 degrees.

Add 56 and 58, you'd get 114.

180-114=66

angle 2=66 degrees.

Answer:

66

Step-by-step explanation:

1. The exterior angle theorem states that the measure of an exterior angle of a triangle is congruent to the sum of the two opposite interior angles.

2. Now, let's see what information we have so far, and what we don't have.

3. Now, let's set up the equation and solve it.

Step 1: Set up the equation.

Step 2: Subtract 58 from both sides.

Step 3: Check if solution is correct.

Therefore, the answer is 66.

Answer:An outlier is any data point that falls above the 3rd quartile and below the first quartile. The inter-quartile range is and . The lower bound would be and the upper bound would be . The only possible answer outside of this range is .

Step-by-step explanation:

Answer: Select the correct answer.

Which point represents the outlier?

(3, 13)

Step-by-step explanation:

A. (2, 3)

B. (4, 5)

C. (3, 13)

D. (8, 9)

1. Draw MON = 81° and bisect it.

2. Draw an angle of measure 175

3. Construct a right angle and then bisect it.

Draw ABC = 162° and divide it into four equal parts.

5. Construct the following angles using a ruler and compass.

120°

Answer:

communtitve property of multiplication

Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct

Answer: B

Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.

Answer:

The last one is the right answer .

if we can assume the ball is being thrown from the ground upwards, then we can say that the inital height of it is 0, whilst its initial velocity is 80 ft/s, thus

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&80\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+80t+0\implies h(t)=-16t^2+80t[/tex]

Answer:

Every f(x) shall decrease to 5 times the previous value.

Answer:

3.0

4.5

6.0

7.5

Step-by-step explanation:

it rains at the rate of 1.5cm per hour

In two hours, the amount will be; 1.5 × 2

= 3cm

in the three hours, the amount will be 1.5×3

=4.5cm

in four hours, the amount will be; 1.5×4

=6cm

in five hours, the amount will be; 1.5×5

=7.5cm

Answer:

Step-by-step explanation:

trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

Answer:

9

Step-by-step explanation:

5 x 3 = 15  and 5 x H = 45

45 / 5 = 9

Answer:

9x = 72; x = 8 times as many stamps

Step-by-step explanation:

Answer:

9×=72;×=8 times as many stamps

Answer:

The concept of sushi was introduced to Japan

[tex] \sqrt[6]{x} . \sqrt[4]{ {y}^{3} } \\ = {x}^{ \frac{1}{6} } . {y}^{ \frac{3}{4} } \\ = {x}^{ - 6} . {y}^{ \frac{3}{4} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The choice 3;

[tex]x = 15 \: \: \: \\ y = 17[/tex]

Step-by-step explanation:

[tex]m < 2 = m < 4[/tex]

Opposite;

[tex]7x + 7 = 112 \\ 7x = 112 - 7 \\ 7x = 105 \\ \\ x = \frac{105}{7} \\ \\ x = 15[/tex]

____o__o___

[tex]m < 3 + m < 4 = 180 \\ 4y + 112 = 180 \\ 4y = 180 - 112 \\ 4y = 68 \\ \\ y = \frac{68}{4} \\ \\ y = 17[/tex]