what two numbers add up to 36 and multiply to -12

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

Answer:

y=60 x=16

Step-by-step explanation:

the triangles are identical so 92+y=3y-28 so solve that for y:

                                                     -y      +28

                                                  120=2y                                                                            .                                                  /2      /2

                                                  60 = y so y=60

and 6x+2=3x+50 and solve that for x: which gets x = 16

Then are you supposed to plug it in to the numerical equvilant to the angles and sides becuase if so:  B and E is 152, AC and DF are 98

Hope this helps and brainliest would be greatly appreciated! Thanks!

The triangles Illustrated are not similar. The correct option is 4. no not similar

If two pairs of corresponding angles in two triangles are congruent, then the triangles are similar. All three corresponding sides of the acronym SSS (side-side-side) are congruent. SAS (side-angle-side) (side-angle-side) Congruence exists between two sides and their angle.

The triangles are congruent if all three sets of corresponding sides are present. The side-side-side shortcut is a congruence technique (SSS). Side-angle-side (SAS), which uses two pairs of sides and an angle between them that is known to be congruent, is another shortcut.

In this case, they aren't similar. The correct option is 4.

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The fireworks will explode after 1.125 seconds of launching Firework B.

Distance = Speed × time

Let time = t

Firework A:

\(D(t) = 360t - - - (1)\)

Firework B:

\(D(t) = 280(0.25) + 280t\)

\(D(t) = 70 + 280t - - - (2)\)

Equate 1 and 2 :

\(360t = 280t + 70\)

Collection of like terms

\(360t - 280t = 70\)

\(80t = 70\)

\(t = 70/80\)

\(t = 0.875 seconds\)

\(0.875 + 0.25 = 1.125 seconds\)

Therefore, the fireworks will explode after 1.125 seconds of launching Firework B.

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The profit function for this problem is defined as follows:

P(x) = 5x - 260.

The profit function is defined as the subtraction of the revenue function by the cost function, as follows:

P(x) = R(x) - C(x).

In which:

From the image given at the end of the answer, the revenue function and the cost function are given as follows:

Then the profit function is calculated as follows:

P(x) = R(x) - C(x)

P(x) = 3x² + 4x - 60 - (3x² - x + 200).

Combining the like terms, we have that:

P(x) = (3 - 3)x² + (4 + 1)x - 60 - 200

P(x) = 5x - 250.

Meaning that the third option is correct.

The problem is given by the image shown at the end of the answer.

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Answer: The degree of a polynomial function determines the highest power of the variable in the function. Quadratic functions have degree 2, while cubic functions have degree 3. The degree of a polynomial function also determines the number of binomial factors in the function. In general, a polynomial of degree n will have n binomial factors. The degree of a polynomial function is related to its graph, with higher degree functions having graphs with more complex shapes and more turning points.

Step-by-step explanation: The degree of a polynomial function determines the highest power of the variable in the function. A quadratic function, for example, has degree 2, while a cubic function has degree 3. The degree of a polynomial function also determines the number of binomial factors in the function. A polynomial of degree n will have n binomial factors. A quadratic function has two binomial factors, while a cubic function has three binomial factors.

The degree of a polynomial function is related to its graph. In general, as the degree of the polynomial function increases, the graph becomes more complex with more turning points. A quadratic function, for example, has a parabolic graph with a single turning point. A cubic function has a slightly more complex graph with two turning points. As the degree of the polynomial increases even further, the graph becomes even more complex with more turning points.

In summary, the degree of a polynomial function determines the complexity of its graph, with higher degree functions having more complex shapes and more turning points. It also determines the number of binomial factors in the function.

Just take what you need from this. Have a great day!

Answer:

\(56m^2\)

Step-by-step explanation:

Step 1: Area of Parallelogram Formula

A=bxh

Step 2: Plug in the information and solve

A=7mx8m

A=\(56m^2\)

Therefore the area of the parallelogram is \(56m^2\)

Answer:

56 Meters Squared

Step-by-step explanation:

Area of a Parallelogram is: \(A=b*h\)

We are given the base of 7 meters and the height of 8 meters.

\(A=7*8\\\\A=\boxed{56}\)

The area of the parallelogram is 56 square meters.  

Answer:

 x=37°

Step-by-step explanation:

   Since 80°+75°+(x-12)°=180°   we have that x=180°-80°-75°+12°

   so, x=37°

Answer: \(x = 9\)

Step-by-step explanation:

\(4x=43-7 = 36\\x =36/4 = 9\\x = 9\)

Answer:

If angle 2 = 110 then angle 4 = 110

360 = 110 + 110 + x

Angle 1 + Angle 3 = 140

Since vertical angles are equal, then Angle 1 = 140 / 2 = 70 degrees

Step-by-step explanation:

Step-by-step explanation:

∠3+∠4= 180°

Since ∠2 ≅ ∠ 4 and  ∠2= 110°

∠3= 180° - ∠4= 180° - ∠2= 180° - 110°= 70°

So proved

Answer:

C. 16

Step-by-step explanation:

5 is half of 10, so 8 should be half of the next number.

Answer:

C. 16

Step-by-step explanation:

\( \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} \)

cross multiplying

\(16 = ?\)

so the missing number is 16

The coordinates of midpoint M is (3,-4)

It is given that AB is a line segment whose end points A ( 4,6) and B (2.-14) and M is the midpoint

We need to find out the coordinates of midpoint  M which can be found out using the mid point formula  which is (x1 + x2/2 , y1 +y2/2)

the x coordinate of the midpoint M of line segment AB = 4 + 2/2

                                                                                               = 6/2

                                                                                                = 3

the y coordinate of the midpoint M of line segment AB = 6+ (-14) /2

                                                                                               = -8/2

                                                                                               = -4

Hence the coordinates of the midpoint M of line segment AB is (3,-4)

In geometry, the midpoint is the center point of a line section. it's far equidistant from each endpoints, and it's far the centroid each of the segment and of the endpoints. It bisects the section.

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Answer:

D

Step-by-step explanation:

Set up to different integrals that match the endpoints

so in our case it would look like

\(\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx\)

now it's just a matter of computing it

\(\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}\)

Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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Answer:

EXPLAINED ON THE ATTACHED

Answer:

15.33

Step-by-step explanation:

Answer:

15.33

Step-by-step explanation:

23.60

- 8.27

----------

= 15.33

Answer:

it has 11 faces 10 sides for the decagon + 1 for the base

It does have one face that is a decagon, which is the base, the rest are triangles

it has 20 edges

Step-by-step explanation:

Answer:

It has 20 edges

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: +2

B: +2

C: -25

D: x3

Answer:

Step-by-step explanation:

EFD = 90* (straight line = 180, and other angle is 90)

EHF = 180-52 = 128* (again straight line)

HFG = 90-32 = 58* (its a right angle (can tell by the square angle) = 90*)

G = 180 - 52 - 58 = 70* (angles in triangle = 180)

E = 180 - 32 - 128 = 20* (angles in triangle = 180)

When two lines intersect, exactly two pairs of vertical angles are formed. When two lines intersect, they form two pairs of adjacent angles. 8. 55°, 9. 128°, 10. 63°, 11. 25, 12. 15, 13. 20.

Adjacent angles are a pair of angles that share a common side and a common vertex (corner point), but do not overlap. In other words, adjacent angles are two angles that are side-by-side and do not have any interior points in common.

Adjacent angles are important in geometry and trigonometry because they form the basis for many angle relationships, such as complementary and supplementary angles. When two adjacent angles have a sum of 90 degrees, they are known as complementary angles, and when they have a sum of 180 degrees, they are known as supplementary angles.

8. The two angles are adjacent since they share a common side. The other angle is 90 - 35 = 55 degrees.

9. The two angles are vertical since they are opposite angles formed by the intersection of two lines. The other angle is also 128 degrees.

10. The two angles are supplementary since they are on the same line and add up to 180 degrees. The other angle is 180 - 117 = 63 degrees.

11. The two angles are vertical since they are opposite angles formed by the intersection of two lines. The other angle is also 75 degrees. Therefore, 4x - 25 = 75, so 4x = 100 and x = 25.

12. The two angles are in a right angle, so they are complementary and add up to 90 degrees. Therefore, 4x + 2x = 90, so 6x = 90 and x = 15.

13. The two angles are adjacent since they share a common vertex and a common side. Therefore, the sum of the two angles is 180 degrees. We know that one angle is 7x degrees and the other angle is x + 20 degrees. Therefore, we can write:

7x + x + 20 = 180

Simplifying this equation, we get:

8x + 20 = 180

Subtracting 20 from both sides, we get:

8x = 160

Dividing both sides by 8, we get:

x = 20

Therefore, the other angle on the adjacent side is x + 20 = 20 + 20 = 40 degrees.

When two lines intersect, they form four angles at the intersection point. These four angles are called vertical angles, and they are formed by the intersection of two non-adjacent lines. Therefore, when two lines intersect, exactly two pairs of vertical angles are formed.

In addition to vertical angles, two lines intersecting also form adjacent angles. Adjacent angles are formed by the intersection of two adjacent lines. When two lines intersect, they form two pairs of adjacent angles. Each pair of adjacent angles shares a common vertex and a common side.

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The correct solution demonstrates that statement P is true, statement Q is true, and statement R is true, while the incorrect solution provided inaccurate counterexamples and made errors in assumption and calculation, leading to incorrect conclusions.

(a) Explanation of errors or omissions in the incorrect solution:

(i) The writer of the solution provided a counterexample where m=2 and n=1 to claim that P is false. However, this counterexample is not valid because it does not fulfill the condition stated in statement P, which requires m to be odd and n to be any integer. Using specific values for m and n does not provide a conclusive proof that statement P is false for all cases.

(ii) The writer correctly assumes that m is odd and n is even, but in the calculation of m(m+n), they make an error by stating m=2k+1 and n=2k. The correct assumption should be m=2k+1 and n=2j, where k and j are integers. This error affects the subsequent calculations and the conclusion drawn about statement Q.

(iii) The writer begins by assuming that m is even or n is odd, and specifically assumes that m is even. However, in the calculation of m(m+n), they state m=2k, which implies that m is even. This assumption aligns with the given statement but is not a valid assumption for the "or" condition. The writer should have considered both cases separately: one where m is even and one where n is odd.

(b) Correct solution to the exercise:

(i) To prove that statement P is false, we need to show a counterexample that satisfies the given conditions of m being odd and n being any integer. Let's consider m=1 and n=0. In this case, m(m+n) = 1(1+0) = 1, which is an odd number. Therefore, the counterexample demonstrates that statement P is true, contrary to the claim made in the incorrect solution.

(ii) To prove that statement Q is true, we assume m is odd and n is even. Let m=2k+1 and n=2j, where k and j are integers. Substituting these values into m(m+n), we have (2k+1)(2k+1+2j) = 4k^2 + 4kj + 2k + 2j + 1. Factoring out 2 from the first four terms, we get 2(2k^2 + 2kj + k + j) + 1. Since 2k^2 + 2kj + k + j is an integer, the expression is of the form 2x + 1, where x is an integer. Therefore, m(m+n) is odd, proving statement Q to be true.

(iii) To prove that statement R is true, we consider two cases: when m is even and when n is odd. For the case when m is even, we assume m=2k, where k is an integer. Substituting this into m(m+n), we have 2k(2k+n) = 4k^2 + 2kn. Since both 4k^2 and 2kn are even integers, their sum is also even. Thus, m(m+n) is even for the case when m is even. Similarly, when n is odd, we can assume n=2j+1, where j is an integer, and the proof follows the same logic. Therefore, statement R is true.

In conclusion, the correct solution demonstrates that statement P is true, statement Q is true, and statement R is true, while the incorrect solution provided inaccurate counterexamples and made errors in assumption and calculation, leading to incorrect conclusions.

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Answer:

2 1/10 and 21/10

Step-by-step explanation:

2.1 is 2 + 0.1 when expanded.

2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be                 2 1/10.

The improper fraction  is just 21/10 (convert the mixed number into improper form).

Converting from mixed number to improper: Multiply the number in the front (in this case 2) by the denominator.

That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21.

21 would be our numerator and the denominator would stay the same (10).

21/10 is the improper form.

Answer:

6 hours

Step-by-step explanation:

7 hours + 5 hours = 2 rooms painted in 12 hours

12 ÷2 =6

Answer: 6 hours

Step-by-step explanation:

Answer:

The number of tickets is increasing by 97% each year

Step-by-step explanation:

Answer:

Range of the third side of a triangle

Step-by-step explanation:

Any one side of a triangle must be shorter than the sum of the other two sides. Therefore, the third side length x must be between 5 and 35, not including those endpoints: 5 < x < 35. All whole numbers satisfying this range would form a triangle.

20 is a possible value for a third side

Answer:

cos A = 7/25

Step-by-step explanation:

Since we are given a right triangle, we can use trig functions

cos A = adj side/ hypotenuse

cos A = 7/25

Answer:

\(\boxed{\sf cos\ A =\frac{7}{25}}\)

Step-by-step explanation:

We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .

We know that the ratio of sine is base to hypontenuse .

\(\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}\)

Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,

\(\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}\)

Substitute the respective values ,

\(\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}\)

Hence the required answer is 7/25.

To find the dot product, we substitute the given values into the formula:

a · b = 40 * 30 * cos(34°)

Calculating the cosine of 34 degrees (cos(34°)), we find its value to be approximately 0.829.

Substituting this value into the equation, we get:

a · b ≈ 40 * 30 * 0.829 = 993.6

Therefore, the dot product of vectors a and b is approximately 993.6.

The dot product of two vectors represents the extent to which they align with each other. In this case, we have two vectors, a and b, with magnitudes of 40 and 30, respectively, and an angle of 34 degrees between them. The dot product formula involves multiplying the magnitudes of the vectors and the cosine of the angle between them. By substituting the given values into the equation, we find that the dot product of a and b is approximately 993.6. This value indicates that the vectors have a moderate alignment, as the dot product is positive and greater than zero.

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Answer:

i honestly dont know

Step-by-step explanation:

im trying to do my test and have been stuck on this one. Sorry for the disappointment.

Answer:

268.47

Step-by-step explanation: I took the quiz