1. x² - 1 + y(y - 2x)​





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Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]

Answer:

let M(-3,-4) be (x1, Y1)

    T(5,0) be (x2,y2)

m:n = 2 : 3

using section formula

Q(x,y) =  {mx2 + nx1/(m+n), my2 + ny1/(m+n)}

        { ( 10 -9)/5, (0 -12)/5}

         (1/5, -12/5)

This could be answer if internally

Yz²-3

y = 5

Z = 3

5(3)² -3 =5 × 9 - 3 , we all remember bracket of multiplication , addition and subtraction( BODMAS)

so we'll solve the multiplication first, followed by substraction so 5×9 = 45

45 -3= 42

Answer:

B. 40, 70

Step-by-step explanation:

[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]

Answer: - 13/7

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Answer:

Step-by-step explanation:

w≤500-285

Answer:

9.5

Step-by-step explanation:

The correct answer is 9.5 because 9.49 is closer to 9.5 than 9.4

Answer:

9.5

Step-by-step explanation:

9.492 to the nearest tenth

First you would round 0.092, which would just be 0.09 because 2 is less than 5. You would then have 9.49. You would then round the 0.49, and since 9 is greater than 5, it would be 9.5 because 9 would round to 10.

Answer:

There are 15 friends

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:

a ⇒ b

c ⇒ x

Then: [tex]x=\frac{c*b}{a}[/tex]

where a, b and c are known values ​​and x is the value to be calculated.

In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?

[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]

or, what is the same,

number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Solving:

number of people= 15

There are 15 friends

Answer:

mode = maximum repeated item

here mode = 4.2

Answer:

A. Brian will need 1.75 (1 3/4) cups of flour

B. Brian will need 1 1/16 cups of sugar

Step-by-step explanation:

Brian wants to make it for 3 people, so everything must be divided by 4 since 12/4=3.

7/4=1.75

4 1/4 divided by 4=1 1/16

Answer:A is 21 cups of flour and B is 12 3/4 cups of sugar

Step-by-step explanation:

A is 21 because 7x3 is 21 and B because 4 1/4x3 equals 12 and 3/4 cups

Answer:

A football team loses 5 yards on one play and then loses 8 yards on

the next play.  How many yards did they lose on the two plays?

How do we represent a loss of 5 yards?

How do we represent a loss of 8 yards?

Step-by-step explanation:

Answer:

Step-by-step explanation:

When Steve woke up. His temperature was 102º F. Two hours later it

was 3º lower. What was his temperature then?

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

Answer:

4, 7, 10, 13

Step-by-step explanation:

Step 1:

3 ( 1 ) + 1 = 4

Step 2:

3 ( 2 ) + 1 = 7

Step 3:

3 ( 3 ) + 1 = 10

Step 4:

3 ( 4 ) + 1 = 13

Answer:

4, 7, 10, 13

Hope This Helps :)

Answer:

26.67% Of Americans earn college degrees.

Step-by-step explanation:

[tex]\frac{2}{3} *40 = 26.67[/tex]

Answer:

C

Step-by-step explanation:

Answer:

There are following two methods.

1-By using pre programmed calculator

2-By using formoula

Step-by-step explanation:

1-The first method i suggest for the calculation of area is by using the pre programmed calculator.

Enter the vertex clockwise or anticlockwise into the calculator.

this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.

2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula

First number the vertex in clockwise or anticlckwise direction.

Than use the following formoula to calculate the area of polygon.

Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]

here, if area is negative we take mode of it

[tex]x_{n}[/tex] is the x coorinate of nth vertex.

[tex]y_{n}[/tex] is the Y coorinate of nth vertex.

This method is universal. By using this method we can calculate area of any type of the polygon.

As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.

We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?

SOH

[tex]sin = \frac{opposite}{hypotenuse} [/tex]

CAH

[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]

TOA

[tex]tan = \frac{opposite}{adjacent} [/tex]

In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.

adjacent, a = 45.0

opposite, o = 32.0

So, to find the angle of elevation, refer to the second picture above.

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

Answer:

Step-by-step explanation:

First lest us calculate the area of the rectangle

given that

length= 50ft

width= 40 ft

Area = length *width

Area=  50*40

Areaa= 2000 ft^2

given that 3/10 of the lawn is yet to be mowed

(3/10)*2000

0.3*2000= 600ft^2

Therefore the area that has been mowed is 2000-600= 1400 ft^2

1400 ft^2

since the direction of the mower is along the lenght of the lawn

area= lenght*width

1400= 50*width

width= 1400/50

width= 28 ft

4x^2-5x+15 is the answer.

Step-by-step explanation:

= 3(x-7) + 4(x² - 2x + 9)

= 3x - 21 + 4x² - 8x + 36

= 4x² + 3x - 8x + 36 - 21

= 4x² - 5x + 15

Answer:

3 times

Step-by-step explanation:

if we look at 193 times 1 its 193, times 2, its 386, times 3, 579 with a remainder of 131

Answer:

- 8

Step-by-step explanation:

Step 1:

24 - x = 32

Step 2:

- x = 32 - 24

Step 3:

- x = 8

Answer:

x = - 8

Hope This Helps :)

Answer:

4×1000000 6×100000 7×10000 2×1000

Step-by-step explanation:

Answer:

[tex]4.672 * 10^{6}[/tex]

Step-by-step explanation:

move the orginial number 6 decimal points to the left to determine its scientific notation

4672000

467200.0

46720.00

4672.000

467.2000

46.72000

4.672000

Answer:

5?

Step-by-step explanation:

You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5

Answer:

-23x-40

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Here is a number line:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4     5      6

Start at 3, marked with an S below:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

Since you are adding a negative number, -5, count 5 numbers to the left starting on P which corresponds to 3.

                                        5<---4<---3<----2<---1<---Start

<-------+-----+-----+-----+-----E-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

You end up at E which corresponds to -2.

Therefore, -5 added to 3 is -2.

I don't know how your teacher can say that 3 + (-5) is not -2 since -2 is the correct answer. Perhaps you should check on the question to make sure it really is 3 + (-5) and not something else.

Answer:

The equation is C = 65h

The intersection of the plane X and plane Y is line CQ.

A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.

Here, we have two planes, X and Y.

There will always be a line at the intersection of two planes.

The planes should intersect in a straight line as long as they are not parallel.

Let CQ be the extended line of CB.

And here we have line CQ.

Which is the intersection of the planes.

Therefore, line CQ is the intersection of the planes X and Y.

To learn more about the planes;

https://brainly.com/question/1962726

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