Collect like terms
6xy - xy - 5x + x

Step-by-step explanation:

due to the principle of identical angles in parallel lines when intercepted by an inclined line,

y = 49°

the angles above an intersected line are the same as below that intersected line (just mirrored left-right).

and at the bottom, the angles an insecticide line has with one line must be the same as with another line that is parallel to the first line.

so, both indicated angles are the same as the original angle on the top : 49°

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line.  The first thing that we do to the slope is we negate the number which means that if we have a slope of [tex]-7[/tex] our slope because [tex]7[/tex] in this step.  In our case our slope is [tex]7[/tex] so in this step it becomes [tex]-7[/tex].

Moving onto the second part which is to get the reciprocal of the number which means that if we have [tex]\frac{1}{2}[/tex] then we would switch it to [tex]2[/tex].  In our case our number is [tex]-7[/tex] so we would make that into a fraction like this [tex]-\frac{1}{7}[/tex].

In conclusion, our final slope of the perpendicular line is [tex]-\frac{1}{7}[/tex].

Hope this helps!  Let me know if you have any questions

Answer: " [tex]-\frac{1}{7}[/tex] " .

_____________

Step-by-step explanation:

Assume we have a two-dimension Cartesian plane graph;

 in which equations of straight lines can be expressed in the form of:
   " y = mx +  b " ;

in which:

 "m" is the slope; as well as the "coefficient" of "x" ;
  and:  "b" is the y-intercept; that is, the value "y" value of the "(x, y)" coordinate at the point which "x = 0" ;  that is, where the graph crosses the "y-axis".

Given the ^aformentioned conditions:
     Note that if we select a line that can be written in the format:  
 " y = mx + b " ;   then another line that is "perpendicular" to that
[selected line] will have the slope, "m";  of the value that is the "negative reciprocal value" of the slope, "m" ; of the other line.

Note that is our problem, we select a line—in our given problem:
          "Line a" —with a slope, "m = 7 " ;  
    which is perpendicular to the slope of "Line b" ;
 → then:  the slope of "Line B" ; would be the "negative reciprocal value"

of "7" .

Note: " [tex]7 = \frac{7}{1}[/tex] " ;  the recriprocal would be: "  [tex]-\frac{1}{7}[/tex] " .

_____________

Hope this answer is helpful to you!

The radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The area of the circular mouse pad = 48 square inches

The area of the circle:

[tex]\rm A = \pi r^2[/tex]

[tex]\rm 48 = \pi (r)^2[/tex]

Take π = 3.14

r = 3.909 inches ≈ 3.91 inches

Thus, the radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

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Answer:

please what is the correct question

Answer: its the last one

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

square root of 16 is 4,

4*4 = 16

Answer:

The square root of 16 is 4.

Step-by-step explanation:

Answer:

11 °C

Step-by-step explanation:

= 6 - (-5)

= 6 + 5

= 11 °C

Hope it helps you in your learning process.

Answer:

The temperature has fallen by 11° C.

Step-by-step explanation:

6° C - (-5° C) = 11° C.

Answer:

1/10

Step-by-step explanation:

1/2 - 2/5

common denominator is 10 (2x5)

5/10 - 4/10 = 1/10

Step-by-step explanation:

3/5 - 1/3 = 4 /15

5/6 - 2/3 = 5/6 - 4/6 = 1/6

7/9 - 2/3 = 7/9 - 6/9 = 1/9

5/8 - 1/6 = (15 - 4) /24 = 11/24

(All the above ones I have taken common factor and subtracted them)

5 x 9/10 = 45/10 = 9/2 (simplified)

2/7 x 3 = 6/7

3 x 2/15 = 6/15

4x 2/6 = 8/6 = 4/3 (simplified form)

Hope this helps!!!

Answer:

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

Finding the y-intercept :

In order to find x-intercept, the f(x) or y will be 0

=================

(x-4)(x + 2) = 0

(x-4) = 0, (x + 2) = 0

x = 4, x = -2

x intercepts: (4, 0) and (-2, 0)

In order to find vertex use the formula: x = -b/2a

y = (x-4)(x + 2)

y = x² -4x + 2x -8

y = x² - 2x -8

Now find x-coordinate of vertex:

x = -(-2)/2(1)

x = 2/2

x = 1

y coordinates: (1-4)(1 + 2) =  -9

Ordered pair of vertex: (1, -9)

In order to find y intercept, insert x = 0

y = (0-4)(0 + 2)

y = -8

y intercept: (0, -8)

Answer:

hope it's helpfull...... ;)

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

Answer:

It would be 3.5

Step-by-step explanation:
1+1+2+6+4+3+2

so the mean is 3.5

Answer:

123x222

Step-by-step explanation:

because2=2 and 4=4

The expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have value of quantity is 60

A) 0.63×104 = 65.52

B) 32.4×21 = 68.04

C) 1.1 × 58 = 63.8

D) 0.18×27 = 4.86

E) 6×9.82 = 58.92

The value of 6×9.82 is 58.92 which is best estimate of 60.

Thus, the expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.

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Answer: a b e

Step-by-step explanation:

Answer:

9 units

Step-by-step explanation:

In the points S and T, the y- co ordinate are unchanged. So, the line joining S and T are parallel to x -axis.

So, the distance will be the sum of obsolute value of the x- coordinates.

 Distance = I 7I + I - 2I

                 = 7 + 2

                 = 9 units

Answer: Alternativa B

X= 12 raíz de 3 e Y= 6.

Answer:

(2, 3)

Step-by-step explanation:

The solution of two equations on a graph is where they intersect. In this case (2, 3) is the answer.

Answer:

(x,y) = (2,3) so C?

Step-by-step explanation:

=> y = x/2+2

=> y = x + 1

from that info, you can tell y = y, meaning x/2 + 2 = x+1

solving:

=> x/2 + 2 = x + 1

=> 1/2x +2 = x + 1

=> -x             -x

=> - 1/2x + 2 = 1

=> -2                -2

=> -1/2x = -1

=> * 2/-1   * 2/-1

=> x = 2

solve using substitution now:

(let's plug it in to the easiest y = statement)

=> y = x+1

=> y = 2 +1

=> y = 3

(2,3) is your answer

The inequality in a standard form that represents the given statement will be equal to 8x + 3y ≥ 120.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data available in the question,

The maximum duration of the recital is 120 minutes.

Time for group dance = 8 minutes.

Time for solo dance = 3 minutes.

Then, the inequality will be,

8x + 3y ≥ 120

Here, x is the number of group dances on the program, and y is the number of solo dances on the program.

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Answer:

Yes

Step-by-step explanation:

Answer:

582 ft squared

Step-by-step explanation:

15*9*2 = 270

15*4*2 = 120

6*6*2 = 72

9*4*2 = 72

6*4*2 = 48

270 + 120 + 72 + 72 + 48 = 582

Answer:

A=1000

B=3.33

Step-by-step explanation:

I think?

A. The total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.

B. The probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].      

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The formula for the permutation is

[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]

Where,

n is the total number of objects

r is the total number of selected students

[tex]^{n} P_{r}[/tex] is the total number of permuations

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.

According to the given question.

Total number of balls in a bag = 10

A. Three balls are selected at a randow.

Since, repetition is not allowed or replacement is not allowed.

So, the number of ways selecting the first ball is 10

Number of ways selectiong the second ball is (10-1)

Number of ways selecting the third ball is (9-1)

Therefore,

The total number of ways or permutation selecting three balls from a bag

= [tex]^{10} P_{3}[/tex]

[tex]= \frac{10!}{(10-3)!}[/tex]

[tex]= \frac{10!}{7!}[/tex]

[tex]=\frac{10\times 9\times 8\times 7!}{7!}[/tex]

[tex]= 10\times 9\times 8[/tex]

[tex]= 720[/tex] ways

Hence, the total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.

B.  

Total number of ball in a bag = 10

Total number of ball in a bag marked with 5 = 1

Thereofre,

the probability of selecting a ball marked with number 5

= [tex]\frac{total\ number\ of \ balls\ marked\ with \ number\ five\ }{total\ number\ of\ balls\ in\ a \ bag}[/tex]

[tex]= \frac{1}{5}[/tex]

Hence, the probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].      

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Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

Answer:

First blank: The same axis of symmetry

Second blank: Greater than

Third blank: Less than

Step-by-step explanation:

PLATO

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f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.

f(x)=7x-2xlnx

When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.

When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.

f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).

In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

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Answer:

3

Step-by-step explanation:

7-4 = 3

4 = 1 + 1 + 1 + 1

So...

Substitute 4 with 1+1...

7 - 1 - 1 - 1 -1

Get rid of the ones one at a time:

6 - 1 - 1 - 1

5 - 1 - 1

4 - 1

3

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The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

From the question, we are to determine the value of log b to the nearest hundredth

From the given information

[tex]log_{5}b = log_{9}48[/tex]

But,

[tex]log_{9}48 =1.76186[/tex]

∴ [tex]log_{5}b =1.76186[/tex]

By one of the laws of logarithm

∴ [tex]b =5^{1.76186}[/tex]

b = 17.0407

Then,

log b = log(17.0407)

= 1.2315

∴ log b ≅ 1.23

Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

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Answer:

The answer is 1.23

Step-by-step explanation:

Trust me I took the edge quiz 2022

Answer:

Diverge

Step-by-step explanation:

5 + 20 + 80 + 320 + .....

   [tex]\sf Common \ ratio = \dfrac{second \ term}{first \ term}\\[/tex]

        [tex]\sf r = \dfrac{20}{5}\\\\ r = 4[/tex]