solve the system of equations 4x - 8y = -8 and 5x-9y=-7​

The Law of Cosines can be used to calculate the angles of an isosceles triangle given three side lengths. Two of the angles are equal, while the third can be found by subtracting the two known angles from 180°.

Since you are given three sides of an isosceles triangle, you can use the Law of Cosines to calculate the angles of the triangle. The Law of Cosines states that for a triangle with side lengths a, b, and c and angle C opposite side c, the following equation holds:

c² = a² + b² - 2abcosC

Therefore, you can rearrange the equation to solve for angle C:

C = arccos((a² + b² - c²) / (2ab))

For an isosceles triangle, two of the angles will be equal, so you can calculate those two angles using the equation above, and the third angle can be found by subtracting the two known angles from 180°.

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Answer:

$ 4.20

Step-by-step explanation:

He spent $3.63 on apples

$1.80 on peaches

if you subtract both those numbers from $9.63 you get $4.20

So thats the amount he spent on tomatoes

Answer:

  4y

Step-by-step explanation:

You want to simplify the expression (12x²y)/(3x²).

When reducing any fractions, common factors in the numerator and denominator are cancelled. Here, the factor 3x² in the numerator is cancelled by the same factor in the denominator.

  \(\dfrac{12x^2y}{3x^2}=\dfrac{(3x^2)(4y)}{(3x^2)}=\boxed{4y}\)

Answer:

140737488355328

Step-by-step explanation:

Formula

L_n = a*r^(n-1)

Givens

a = 2

4

Solution

L_24 = 2*4^(24 -1)

L_24 = 2 * 70368744177664

Note the only way I know that you can get this answer is to use the calculator that came with windows. I don't think even my programing language would get it.

L_24 = 140737488355328

Answer:

x = 8

Step-by-step explanation:

Since < A and < B are vertical angles, then it means that they have the same measure.

Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:

We can set up the following equation to solve for the value of x:

m < A  = m < B

(3x - 21)° = (2x - 13)°

3x - 21 = 2x - 13

Subtract 2x from both sides:

3x - 2x - 21 = 2x - 2x - 13

x - 21 = -13

Add 21 to both sides to isolate and solve for the value of x:

x - 21 + 21 = -13 + 21

x = 8

We must verify if we have the correct value for x by plugging in 8 into the equality statement:

(3x - 21)° = (2x - 13)°

[3(8) - 21]° = [2(8) - 13]°

(24 - 21)° = (16 - 13)°

3° = 3° (True statement. This means that we have the correct value for x).

Therefore, the value of x = 8.

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Determining the monthly payment as $668.54, it seems that Jax cannot buy this car since he wants his monthly payment to be under $500.

The monthly payment is the periodic payment that must be made by Jax to settle the credit or car loan, including the finance charges.

The monthly payment can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 5.5%

PV (Present Value) = $35,000

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $-668.54

The sum of all periodic payments = $-40,112.44

Total Interest = $5,112.44

Thus, Jax must pay $668.54 monthly to finance the car and cannot based on his budget.

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Answer:

2:5

Step-by-step explanation:

david=24mins

mark = 1hour

change 1 hour to mins

DAVID=24

MARK=60

24:60

THEN SIMPLIFY

24/60

=2/5

2:5

the Area will be 280 inch².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The base of triangle = 20inch

The height of triangle  = 14inch

Area is = (base * height) =  (20*14)

Area = 280 inch²

Hence the Area will be 280inch²

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Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

In the psychoanalytic tradition, the projection of feelings onto members by the leader is called: c) Countertransference.

Countertransference refers to the phenomenon where a therapist or leader projects their own emotions, experiences, or unresolved issues onto the individuals they are working with. It is a concept rooted in Sigmund Freud's psychoanalytic theory and is an important aspect of the therapeutic relationship.

When a leader experiences countertransference, they may unconsciously attribute their own thoughts, feelings, or motivations to the members of their group. This projection can distort the leader's perception of the group members and influence their interactions and decision-making processes. It can also hinder the leader's ability to provide objective and unbiased guidance or support.

Countertransference can arise due to various reasons, such as personal history, unresolved conflicts, or parallel experiences with the group members. It is essential for leaders to be aware of their countertransference reactions and work through them to maintain professional boundaries and provide effective leadership.

By recognizing and addressing countertransference, leaders can gain insight into their own emotional reactions and separate them from the experiences of their group members. This self-awareness enables leaders to approach their role with greater objectivity, empathy, and understanding.

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Answer:

True. Remainder when divided by (x-r) is p(r).

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

Laplace transform can be solved using the definition, properties, and techniques of Laplace transforms.

Laplace transform is a mathematical tool used to solve linear differential equations. The Laplace transform is defined as the integral of a function multiplied by an exponential function.

To solve a Laplace transform, one must first determine the function to be transformed and then use the definition, properties, and techniques of Laplace transforms to find its transformed function.

This can involve finding the inverse Laplace transform, using partial fraction decomposition, or solving a system of linear algebraic equations. Laplace transform is widely used in electrical engineering, control theory, and other fields for solving linear differential equations.

To solve a Laplace transform, it is important to have a solid understanding of calculus, including integration and differentiation, as well as a good understanding of the properties and techniques of Laplace transforms.

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Answer:

3 : 2

Step-by-step explanation:

the ratio of

length : breadth

= 15 : 10 ( divide both parts by 5 )

= 3 : 2

Answer:

ms.james already as 350 so minus 25 from that which is 325.Then divide that by 15 which is 21 and she will have 6 left over

Answer:

330

Step-by-step explanation:

350          325 ÷ 15 = 21.6666666667

- 25            21x15 = 315 so get 22 bc 22x15=330

-------

325

From division operation,

a) The right equation for this situation is equals to 10 ÷ 365 = 2/73 pages. So, option (i) is right one.

b)For the fraction 15/10 is written as 15 ÷ 10. So, option(i) is right.

c) Both laundromats charge same amount per minutes. So, option(i) is right .

d) For the fraction 12/13 is written as 12 ÷ 13 . So, option (ii) is right one.

Division is an arithmetic operation. Except this other includes addition, subtraction, and multiplication. It shows the sharing of an amount into equal parts. For example, if “16 divided by 4” means “16 divided into 4 equal parts”, which is equals to 4. The division symbol is '÷', that is 4 ÷ 2 implies 2.

a) So, using all this, 10 ÷ 365 = 2/73 pages is right equation and answer for Jodi'reading problem.

b) The fraction, a: b or a/b represents a divided by b. So, for fraction 15/10 means 15 divided by 10 and written as 15 ÷10.

c) Now, At Happy Harry’s Laundromat, the cost of dryer = $1. 50 for 10 minutes

At Jolly Judy’s Laundromat, the cost of dryer = $2. 25 for 15 minutes. The best Laundromat that has less cost of dryer per minute. So, we check the cost of dryer. In case of Harry’s Laundromat, the cost of dryer for 1 minute = 1.50/10 = $0.15

Similarly, In case of Judy’s Laundromat, the cost of dryer for 1 minute = 2.25/15

= $0.15 per minute

Thus, they charge the same amount.

d) The fraction 12/13 can be written in division form. We can write it as "12 divided by 13" so 12 ÷ 13. Hence, the required value is 12 ÷ 13.

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Complete question:

WILL MARK BRAINLIEST!!

a) To read her book report book, Jodi needs to read 365 pages in 10 days. Choose the correct equation and answer for this situation.

i) 10 ÷ 365 = 2/73 pages

ii) 365 ÷ 10 = 2/73 pages

iii) 365 ÷ 10 = 365/10 = 36 5/10 = 36 1/2 pages

iv) 10 ÷ 365 = 365/10 = 3 5/10 = 3 1/2 pages

b) Choose the correct problem for the fraction 15/10.

i) 15 ÷ 10

ii) 10 ÷ 15

iii) 10 ÷ 10

iv) 15 x 10

c) At Happy Harry’s Laundromat, the dryer costs $1. 50 for 10 minutes. At Jolly Judy’s Laundromat the dryer costs $2. 25 for 15 minutes. Which laundromat offer the better deal?

i) They charge the same amount.

ii) Jolly Judy’s Laundromat

iii) Happy Harry’s Laundromat

d) Choose the correct problem for the fraction 12/13

i) 12 ÷ 10

ii) 12 ÷ 13

iii) 13 ÷ 12

iv) 12 x 13

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

2 $3.07

3 $5.55

4 $7.04

5 $9.25

Step-by-step explanation:

just add 1.85 to each price. ex 1.85 + 1.85 made 2

The value of x in the expression is x = - 14

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

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

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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The graph of the absolute value function f(x) = |x - 2| is given by the image presented at the end of the answer.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent absolute value function is given as follows:

f(x) = |x|.

Which has the format of the V-graph, with vertex at the origin.

f(x) = |x - 2| is a translation right two units of f(x) = |x|, hence the vertex will be at the point (2,0).

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Answer:

It is described in terms of displacement, distance, velocity, acceleration, time and speed. Jogging, driving a car, and even simply taking a walk are all everyday examples of motion.

...

The three equations are,

v = u + at.

v² = u² + 2as.

s = ut + ½at²

Answer:

Answer is below. Hope this helps you!

Step-by-step explanation:

(i)v = u + at

(ii) s = ut + 1/2 *at²

(iii)2as = v²-u²

Examples:

A train starting from rest attains a velocity of 72km/h in 5 minutes. Assuming that the acceleration is uniform, find (i) the acceleration and  (ii)  the distance travelled by the train for attaining this velocity.

72km/h = 20m/s

(i) use v= u+ at

20 = 0 + a*300

20 = 5a

20 / 300= a

1/15 ms² = a

to find distance

use 2as= v²-u²

2 *1/15 * s = (20) - 0²

2/15s = 400

s = 400 * 15/2

s = 3000m = 3 km

a car accelerates with a uniform acceleration of 1m/s². it starts with a  velocity of 18km/h and reaches 36 km/h in 5 seconds find the distance travelled.

18 km /h = 5m/s

36km/h = 10m/s

use - s= ut + 1/2at²

s = 5 * 5 + 1/2 * 1 * (5)²

s = 25 + 25/2

s = 37.5 meters

Answer:

160.60 this is the answer

Answer:160.6

Step-by-step explanation:

It is a simple subtraction of the decimals

\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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Answer:

22.5°

and

157.5°

Step-by-step explanation:

Supplementary angles sum 180°

Then:

a = 7b               Eq. 1

a + b = 180       Eq. 2

Replacing Eq. 1 in Eq. 2:

7b + b = 180

8b = 180

b = 180/8

b = 22.5°

from Eq. 1:

a = 7*b

a = 7*22.5

a = 157.5°

Check:

from Eq. 2:

a + b = 180

157.5° + 22.5° = 180°

Answer:

Option B, \((48x^{8}y^{5})\)

Step-by-step explanation:

Step 1:  Simplify the exponent

\((12x^{2}y^{3})(2x^{3}y)^{2}\)

\((12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})\)

\((12x^{2}y^{3})(4x^{6}y^{2})\)

Step 2:  Simply the expression

\((12x^{2}y^{3}*4x^{6}y^{2})\)

\((48x^{2+6}y^{3+2})\)

\((48x^{8}y^{5})\)

Answer: Option B, \((48x^{8}y^{5})\)

Answer:

use absolute value

Step-by-step explanation:

absolute of x +5

Answer:

A- 200+25x

B- 200+25×4=300

Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought

Step-by-step explanation:

Answer:

$12,741.4

Step-by-step explanation:

If there are no additional deposits, the final balance is $12,741.4, and the the total compound interest is $741.4.

Step-by-step explanation:

the point is (2, -5).

the origin is (0, 0).

the distance between 2 points is calculated via Pythagoras due right-angled triangles :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle). a and b are the legs.

the direct distance is the Hypotenuse, and the x coordinate and y coordinate differences are the legs.

so,

distance² = (2 - 0)² + (-5 - 0)² = 2² + (-5)² = 4 + 25 = 29

distance = sqrt(29) = 5.385164807...

so, the second answer option is correct.

ANSWER

C and D

EXPLANATION

Step 1: Given that:

Step 2: Simplify matrix D

Hence, matrices C and D are equal.