What is Graph y=-4

The equation of line passes through the points (14, 10) and (0, 2) will be;

⇒ y = 4/7x + 2

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (14, 10) and (0, 2)

Now,

Since, The equation of line passes through the points (14, 10) and (0, 2)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 10) / (0 - 14)

m = - 8 / - 14

m = 4/7

Thus, The equation of line with slope 4/7 is,

⇒ y - 10 = 4/7 (x - 14)

⇒ y - 10 = 4/7 (x - 14)

⇒ y = 4/7x - 8 + 10

⇒ y = 4/7x + 2

Therefore, The equation of line passes through the points (14, 10) and

(0, 2) will be;

⇒ y = 4/7x + 2

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The length of the Hypotenuse for the given right angle triangle, is 10√5.

What is Hypotenuse?

A right-angled triangle's longest side, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem states that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

Let the two sides of right angle triangle are, a = 20 and b = 10.

We have to find the length of Hypotenuse.

Let x be the length of Hypotenuse.

So, by using the Pythagoras theorem,

[tex]a^2 + b^2 = x^2[/tex]

Plug a = 20, b = 10

[tex](20)^2 + (10)^2 = x^2\\400 + 100 = x^2\\500 = x^2\\x^2 = 500\\x = 10\sqrt{5}[/tex]

hence, the length of the Hypotenuse for the given right angle triangle, is 10√5.

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Answer:

the first number is 20, second is 9

Step-by-step explanation:

y=3x-7

y+x=29

rearrange the first equation

y-3x=-7

and

y+x=29

solving the simultaneous equation:

y-3x=-7

            -

y+x=29

= -4x=-36

divide both sides by -4

x = 9

now substitute the x value into the equation: y+x=29

= y + 9 = 29

y = 20

The matrices A and B are not inverse matrices

From the question, we have the following parameters that can be used in our computation:

[tex]A = \left[\begin{array}{cc}-2&-3&2&-2\end{array}\right][/tex]

[tex]B = \left[\begin{array}{cc}1&-1&-1&2\end{array}\right][/tex]

To determine if the matrices are inverse matrices, we simply calculate the inverse of matrix A and then make the comparison.

The matrix A is given as

[tex]A = \left[\begin{array}{cc}-2&-3&2&-2\end{array}\right][/tex]

Calculate the determinant of the matrix A

So, we have the following representation

|A| = -2 * -2 + 3 * 2

Evaluate the sum of products

|A| = 10

The inverse is then calculated as

[tex]A^{-1} = \frac 1{10} * \left[\begin{array}{cc}-2&3&-2&-2\end{array}\right][/tex]

Evaluate

[tex]A^{-1} = \left[\begin{array}{cc}-\frac 1{5}&\frac 3{10}&-\frac 1{5}&-\frac 1{5}\end{array}\right][/tex]

When compared to matrix B, both matrices are different

Hence, the matrices are not inverse matrices

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Solving the given equations using substitution method we get (x,y) as (2, -1) i.e option (2) is correct answer.

Substitution method

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

Given: 4x + 2y = 6      --------- (1)

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

Put the value of x from the 2nd equation in the 1st equation

4(2y+4) +2y = 6

8y + 16 + 2y = 6

10y + 16 = 6

10y = 6-16

10y = -10

y = -1 --------------- (3)

put the value of y in the (2) from (3)

x = 2(-1) + 4

x = -2+4

x = 2

Therefore, its solution is (2, -1)

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Answer: B

Step-by-step explanation: Did the test

D) none of these choices are correct

Answer:

these are the prime factors of 84

The total weight is 18.5 kilograms

The value of the obtuse angle is 128°

Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°.

The sum of an obtuse angle and an acute angle is 180°

Find attached a diagram

AB = house

AC = ladder

BC = horizontal ground

∠ACD = ∠ABC + ∠BAC ( sum of opposite interior angle is equal to exterior angle)

∠ACD = 90 + 38

∠ACD = 128°

In conclusion, the obtuse angle is 128°

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(A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.

The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.

The typical form for linear equations with two variables is Ax+By=C.

For instance, the linear equation 2x+3y=5 is in standard form.

So, we have the equation:

5x – 4y = 20

(A) (4,0)

=5x−4y

=5(4)−4(0)

=20

=RHS

(4,0): YES

(B) (0,5)

=5x−4y

=5(0)−4(5)

=−20

≠RHS

(0,5): NO

(C) (−2, 5/2)

=5x−4y

=5(−2)−4(5/2)

=−10−10

=−20

(−2, 5/2): NO

(D) (0, -5)

=5x−4y

=5(0)−4(−5)

=20

=RHS

(0, -5): YES

(E) (2, -5/2)

=5x−4y

=5(2)-4(-5/2)

=10+10

=20

=RHS

(2, -5/2): YES

Therefore, (A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.

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Answer:

96 dollars

Step-by-step explanation:

The ratio of Miguel's savings to his earnings is 8: 10 = 40: 50 = 120: 150 is equal to ratio 4:5

If Miguel earns $120, then he will save 4/5 of his earnings.

This can be expressed as a ratio as follows:

Savings: Earnings = 4 : 5

This means that for every 4 units of savings, there are 5 units of earnings. In other words, the ratio of savings to earnings is 4 to 5.

In order to calculate the amount of money that Miguel will save; we can multiply the ratio by the amount of earnings.

In this case, the amount of earnings is $120, so the amount of money that Miguel will save is:

[tex]\textsf{Savings} =\dfrac{ 4}{5 }* 120 = 96[/tex] dollars

Therefore, He will save 96 dollars if he earns 120 dollars.

Using the area of the rectangle, we know that the length of the given rectangle is x + 9.

The area is described as the amount of space occupied by a flat (2-D) surface or shape of an object.

Take a marker pen and attract a square on a bit of paper. It is a 2-D figure.

The space the shape occupies on the article is called its Area. Consider your square as being composed of smaller unit squares.

So, we have the area of the rectangle as:

A(x)=2x^2+18x

Area formula: Area = length * width

So, the length of the rectangle will be:

Area = length * width

2x^2+18x = length * 2x

Length = (2x^2 + 18x) / 2x

With the help of long division:

2x√2x² + 18x

Length = x + 9

Therefore, using the area of the rectangle, we know that the length of the given rectangle is x + 9.

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Correct question:
The area of the rectangle is given by the polynomial function A(x)=2x^2+18x. If the width of the rectangle is 2x what is the length?

The measure of the unknown angles in the circle are

x° = 38°

y° = 90°

z° = 90°

From the question, we are to determine the measure of the unknown angles.

From one of circle theorems, we have that "the angle in a semicircle is a right-angle"

Thus,

y° = 90°

z° = 90°

To determine the measure of x°

Using the theorem,

"The angle subtended by an arc at the center of a circle is twice the angle subtended at the circumference"

Thus,

x° = 2 × 19°

x° = 38°

Hence, x° = 38°, y° = 90°, and z° = 90°

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Answer: -3/4

Step-by-step explanation:

The volume of an object is  length × width × height.

What is three dimension geometrical shape?

3D forms are three-dimensional solid shapes or figures in geometry. Typically, the dimensions of 3D objects are length, breadth, and height. These shapes are known by the common names cube, cuboid, cone, cylinder, and sphere. The characteristics of 3D shapes, such as their edges, faces, vertices, curved surfaces, lateral surfaces, and volumes, determine what they are.

In our daily lives, we encounter many items of all sizes and shapes. Golf balls, doormats, ice cream cones, Coke cans, and other items are available. The various 3D shapes, surface area, and volumes, as well as the method of creating 3D shapes utilizing nets with the aid of 2D Shapes, will all be covered in this article.

A rectangular prism's volume can be calculated by multiplying its base area by its height. A rectangular prism's area will be l × w since its base is also a rectangle. The volume of the prism is then calculated by multiplying this area by the prism's height. As a result, another method to construct this formula is to multiply the prism's length, breadth, and height and then convert the result to cubic units.

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Answer:

20%

Step-by-step explanation:

Explanation:

Use the distance formula to determine the distance between the two points.

Distance=√(x2−x1)2+(y2−y1)2Distance=(x2-x1)2+(y2-y1)2

Substitute the actual values of the points into the distance formula.

√((−1)−3)2+(3−(−3))2

2√13213

The result can be shown in multiple forms.

Exact Form:

2√13213

Decimal Form:

7.21110255…7.21110253

The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is (b) The 95% C.I. is more precise in estimating a mean than the 90% C.I.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.

The upper and lower numbers of a range with a 95% confidence interval (CI) of the mean are determined from a sample. This range describes potential possibilities for the mean because the actual population mean is unknown. Hence, the 95% C.I. is more precise in estimating a mean than the 90% C.I.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

Below

Step-by-step explanation:

Quarterly interest = .01 / 4 = .0025

periods = 4 x 3 yrs = 12

FV = 56500(1 + .0025)^12 = $ 58218 . 50

Answer:

Step-by-step explanation  you add the 25.50 +2.50=27.00

and then add 115 to it 143.00

Answer: 6 boxes of 5 markers in each box

Step-by-step explanation:

1. Consider the factors of 30

30: 1, 2, 3, 5, 6, 10, 15 and 30

2. pick any 2 that make 30

5*6=30

3. Therefore buying 6 boxes of 5 markers each should do the trick,

Hope this helps

Answer: 6 boxes of 5 markers in each box

Step-by-step explanation:

The amount of time required for the person to reach using compound interest 22600 dollar is 13 years

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

We are given that the initial investment done by a person is $9500

And the interest rate is 6.25% semi annually that is twice

And after how much time he will have 22600 dollars

To find that we use compound interest formula

[tex]A=p(1+\frac{r}{n}) ^{nt}[/tex]

Substituting the values we get

[tex]22600= 9500(1+0.03125)^{2t}\\2.37= (1+0.03125)^{2t}\\t= 13 years[/tex]

Hence the time required to reach $22600 is approximately 13 years

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The correct decimal number for 17/22 will be equal to 0.7(727)bar.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Decimal refers to the base-10 number system, which is perhaps the most widely used number system. The term "decimal number" refers to a number that has a decimal point followed by digits with values less than one.

Here,

17/22=0.772727.....

For 17/22, the proper decimal number is 0.7(727)bar.

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On solving the provided question, we have the followings roots of the equations as -  x3 - 23x2 + 142x - 120 = (x - 1) (x - 10) (x - 12) and (x-1)(x-2)(x-3)=0

f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are real integers and a 0. The cubic function is the cubic polynomial function. The higher cube function, or the fundamental cubic function, is defined as f(x) = x3.

x3 – 6x2 + 11x – 6 = 0.

(x-1)(x-2)(x-3)=0

x3 – 23x2 + 142x – 120.

first factorize

[tex]x3 - 23x2 + 142x - 120 = (x - 1) (x2 - 22x + 120)\\ But x2 - 22x + 120 = x2 - 12x - 10x + 120\\ = x (x - 12) -10(x - 12)\\ = (x - 12) (x - 10)\\ Therefore,\\ x3 - 23x2 + 142x - 120 = (x - 1) (x - 10) (x - 12)[/tex]

Equate each factor to zero to get;

x = 1

x = 10

x = 12

The roots of the equation are x = 1, 10 and 12.

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The ending balance is $1032.5.

What is simple interest?

Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.

Here, we have

Given: P = $2,500, r = 5.9%, t = 7 years

Convert 5.9% to a decimal

5.9% = 5.9 ÷ 100

 = 0.059

Substitute the values into the simple interest formula,

I = Prt   and we get

I = Prt

= 2500 × 0.059 × 7

= $1032.5

Hence, the ending balance is $1032.5.

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Answer:

(D)

Step-by-step explanation:

This is because if you have 3 angles, there is an infinite amount of possible triangles. For example, if you have a triangle with the angles 30 degrees, 60 degrees, and 90 degrees, you could have any triangle with side ratios of 1:[tex]\sqrt{3}[/tex]:2.

a. Don't like both burritos and hamburgers.18.54% of participants.

b. Marginal relative frequency of 0.6049.

c. The correlation between enjoying hamburgers and disliking burritos is the strongest of the two variables.

When an is multiplied by 100% then divided by b, the result is the proportion of an amount an over an overall amount b, as in:

P = a/b x 100%

Option a:

38 out of 205 persons like neither; consequently:

P = 38/205 x 100%

P = 18.54%

Burgers and burritos are disliked by 18.54% of poll participants.

Option b:

The proportion expressed as a decimal, or a divided by b, is the relative frequency.

205 - 81 = 124 of a 205 participants enjoy hamburgers, so:

124/205 = 0.0649

All consumers who enjoy hamburgers have a marginal relative frequency of 0.6049.

Option c:

Without taking into account the totals, the table is:

49 - 43

75 - 38

Because of the greater total, the two criteria that are most strongly correlated with each other are preferring hamburgers but not liking burritos.

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cos(pi) and cos(-pi) are both equal to -1 because cos is an even function.

For an even function, f(x) = f(-x). Even functions are symmetric about the y-axis.

Symmetricity about y-axis means that for same magnitude of x (like -2 and 2 have the same magnitude that is 2) the value of y will be the same.

Hence, in the case of cos(x), if we give any value as x and then give -x we will get the same result like cos(0.5pi) = cos(-0.5pi)

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