4(x - 3) + 14 = 7x - 3(x + 7)

Is this a conditional, identity, or contradiction equation

The equation of a line perpendicular to y = 4x - 3 that passes through the point (2,-2) is y = -1/3x - 3/2

The equation of the line is given as

y = 4x - 3

Rewrite the equation as

y = 4x - 3

A linear equation is represented as

y = mx + c

Where

Slope = m

So, we have

m = 4

The slopes of perpendicular lines are opposite reciprocals

This means that

m2 = -1/m1

So, we have

m = -1/4

Evaluate

m = -1/4

The equation of the perpendicular line is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (2, -2)

This gives

y = -1/4(x - 2) - 2

Evaluate

y = -1/3x + 1/2 - 2

Evaluate the sum and the difference

y = -1/3x - 3/2

So, the equation of a line perpendicular to y = 4x - 3 that passes through the point (2,-2) is y = -1/3x - 3/2

Hence, the required equation of a line perpendicular to y = 4x - 3 that passes through the point (2,-2) is y = -1/3x - 3/2

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Part A:  Expression for the distance in meters between given two birds using subtraction = 2.5 - (-2.5)

Part B: The distance between two birds using additive inverse 2.5- (-2.5) =5 meters

An expression is an combination of numbers and mathematical operations such as addition, subtraction, division and multiplication with equating any two terms.

Additive inverse : Additive inverse of an number a is the number that  when adds to a gives zero .

Let b be additive inverse of a, then a + b =0

Then, b = -a

Given two birds A and B are at  points x= -2.5 and  y = 2.5 respectively

Therefore,  the expression for the distance in between given two birds

           = y - x  = 2.5- (-2.5)

We an clearly see that  -2.5 is additive inverse of 2.5

Distance between the two birds = 2.5 -(-2.5) =2.5 +2.5 = 5 meters

Therefore, the expression for distance between the two birds A and B is 2.5-(-2.5) and the distance is 5 meters.

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Answer:

x + y = 10

Step-by-step explanation:

Answer:

x = 0.25

Step-by-step explanation:

[tex]9\sqrt{x} =5-2x[/tex]

[tex]81x = 25 - 20x + 4x^{2}[/tex]

[tex]0=4x^{2} -101x+25[/tex]

[tex]0 = 4x^{2} -1x-100x+25[/tex]

[tex]0=x(4x-1)-25(4x-1)\\0=(x-25)(4x-1)[/tex]

[tex]x=25,\frac{1}{4}[/tex]

[tex]2*25+9\sqrt{25} =5\\50+9*5=5\\50+45=5\\95=5[/tex]

[tex]2*\frac{1}{4}+9\sqrt{\frac{1}{4} } =5 \\0.5+9*\frac{1}{2} =5\\0.5+4.5=5\\5=5[/tex]

Answer:

[tex]x=\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given equation:

[tex]2x+9\sqrt{x}=5[/tex]

Subtract 2x from both sides to isolate the square root:

[tex]\implies 2x+9\sqrt{x}-2x=5-2x[/tex]

[tex]\implies 9\sqrt{x}=5-2x[/tex]

Square both sides to eliminate the square root:

[tex]\implies (9\sqrt{x})^2=(5-2x)^2[/tex]

[tex]\implies 81x=(5-2x)(5-2x)[/tex]

[tex]\implies 81x=25-20x+4x^2[/tex]

Subtract 81x from both sides:

[tex]\implies 81x-81x=25-20x+4x^2-81x[/tex]

[tex]\implies 0=25-101x+4x^2[/tex]

[tex]\implies4x^2-101x+25=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]\implies ac=4 \cdot 25=100[/tex]

[tex]\implies b=-101[/tex]

Therefore, the two numbers are -1 and -100 as:

[tex]\implies -1 \cdot -100=100=a[/tex]

[tex]\implies -1+(-100)=-101 =b[/tex]

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies4x^2-x-100x+25=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(4x-1)-25(4x-1)=0[/tex]

Factor out the common term (4x - 1):

[tex]\implies (x-25)(4x-1)=0[/tex]

Apply the zero-product property:

[tex](x-25)=0 \implies x=25[/tex]

[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]

Input each solution into the original equation to check its validity:

[tex]\begin{aligned}x=25 \implies 2(25)+9\sqrt{25}&=5\\50+9(5)&=5\\50+45&=5\\95 & \neq 5\end{aligned}[/tex]

Therefore, x = 25 is not a valid solution.

[tex]\begin{aligned}x=\dfrac{1}{4}\implies 2\left(\dfrac{1}{4}\right)+9\sqrt{\dfrac{1}{4}}&=5\\\dfrac{1}{2}+9(\dfrac{1}{2})&=5\\\dfrac{1}{2}+\dfrac{9}{2}&=5\\\dfrac{10}{2}&=5\\5 & = 5\end{aligned}[/tex]

Therefore x = ¹/₄ is a valid solution.

Therefore, the only valid solution to the equation is x = ¹/₄.

Answer: she spent 40 minutes answering the phone calls

Step-by-step explanation:  

Its 40 minutes because she spends 20 minutes delivering flowers and she worked at the hospital for 60 minutes that day. So, if you take away the 20 minutes for the 60 minutes, she spent she will only have 40 minutes left to answer calls.

The figure consists of dodecahedrons having different edge length, e.

The external volume, [tex] V_{e}[/tex], is given by the formula;

The internal volume, [tex] V_{i}[/tex], is given by the formula;

The given figures consists of solids that are pentagonal faced.

The number of faces of the solid = 12

The shape of the solids are known as a dodecahedron

The formula for the external volume, [tex] V_{r}[/tex], is given as follows;

[tex]V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} [/tex]

Where;

[tex] e_{e}[/tex] = The length of the edges on the outside of the dodecahedron.

Given that the length of the edges on the inside are measured to be [tex] e_{i}[/tex], the internal volume is given by the formula;

[tex] V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} [/tex]

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Answer: 3657

Step-by-step explanation:

18-15=3

15-12=3

3 ==> rate of change per term

3*46=138

138-3=135

135+12=147 ==> 46th term

Now find the average of the first and 46th term of the sequence:

(147+12)/2=

159/2=79.5

Now multiply the average by 46 to find the sum of the sequence.

79.5*46=

159*23=3657 ==> sum of 46 terms

Answer:

x = 2, y = -1
x = -1, y = -4

Step-by-step explanation:

Both equations are equal to y, so just set x - 3 = x^2 - 5 and solve.

If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

A person or married couple must submit an official form known as an individual tax return to a federal, state, or local taxing authority in order to record any taxable income they received within a certain time period, typically the previous year.

This document is used to determine how much tax was paid in excess of what was required during that time period.

In this case, if Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is:

April 15th.

October 15th.

August 15th.

November 15th.

None of the choices are correct.

Answer:

circumcentre

Step-by-step explanation:

the point of intersection of of the perpendicular bisectors of the triangle's sides is called the circumcentre.

The circumcentre is equally far away from the triangle's 3 vertices.

Answer: 32

Step-by-step explanation: 2(-3)2. -4

The following proportion by cross multiplying:

( x + 2 ) / 6 = ( x - 4 ) / 3 is -19

Given:

( x + 2 ) / 6 = ( x - 4 ) / 3

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

x+2=2x-8

x=-10

If the ratio between the first and second amounts is identical to the ratio between the second and third, the three quantities are said to be in continuing proportion. Similarly, the ratio between the first and second amounts in a continuous proportion will be equal to the ratio between the third and fourth.

Consider the following two ratios: a:b and c:d. We shall convert the means of the two specified ratio terms to a single term/number in order to get the ongoing proportion.

This is the LCM of means in general, and for the given ratio, the LCM of b & c is bc. As a result of multiplying the first ratio by c and the second ratio b.

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Answer:

MN = 5

Step-by-step explanation:

From inspection of the given diagram:

Therefore:

[tex]\implies \sf MN+NR=MNR[/tex]

[tex]\implies 2.5x+x=5x-3[/tex]

[tex]\implies 3.5x=5x-3[/tex]

Add 3 to both sides:

[tex]\implies 3.5x+3=5x-3+3[/tex]

[tex]\implies 3.5x+3=5x[/tex]

Subtract 3.5x from both sides:

[tex]\implies 3.5x+3-3.5x=5x-3.5x[/tex]

[tex]\implies 3=1.5x[/tex]

[tex]\implies 1.5x=3[/tex]

Divide both sides by 1.5:

[tex]\implies 1.5x \div 1.5=3 \div 1.5[/tex]

[tex]\implies x=2[/tex]

Substitute the found value of x into the expression for MN:

[tex]\implies \textsf{MN}=2.5(2)[/tex]

[tex]\implies \textsf{MN}=5[/tex]

Answer:

$2.53

Step-by-step explanation:

Unit price = total price / quantity

Unit price = $12.65 / 5

Unit price = $2.53

Answer:

B -N

Step-by-step explanation:

A This is -1 x - N. a negative times a negative is always positive. So -1 x -N = 1N= N

C The absolute value of N is N so this is also correct.

D The absolute value of a negative number is always positive so |-N| = N

12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.

Given: 12[tex]y^{-2}[/tex] = 20

=> [tex]\frac{12}{y^2}[/tex] = 20

=> [tex]\frac{12}{20} = y^2[/tex]

=> [tex]y^2 = \frac{3}{5} = 0.6[/tex]

=> y = 0.774.

Hence, 12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.

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I would say avoid adding any more detail to the eyes and facial features. normally pointillism uses alot more dots and makes them most concentrated in darker areas. i would recommend trying to add shadows to most of it or adding more detail to the hat. Ii think her neck looks ok but there isn't really a way to get rid of the diagonal that you made.

Answer:

I think its great! I think add more hair to the side of head there. other than that it resembles her quite nicely!

Step-by-step explanation:

According to the question, the equation [tex]\frac{x+1}{x^{2} +1}[/tex] is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.

The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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The option that describes Myra’s distance as time increases is increasing.

Looking at the table provided, it can be seen that as time passes, the distance ran by Myra increases. It can be seen that distance increases from 0.4miles to 0.8 miles when time increases from 2 seconds to 4 seconds.

Change in distance run per time = change in distance / change in time

(0.4 - 0) / (2 - 0)

0.4 / 2 = 0.2

Myra's distance increases by 0.2 per second. This means that Myra is running at a constant speed. Thus, the rate of the increase in the distance run by Myra is a constant 0.2 per second.

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Answer:

the answer is increasing

After solving, the factors of equation 2x³+5x²-12x are:

So,

Given the equation: 2x³+5x²-12x

Then,

Factors are: x(2x-3)(x+4)

Therefore, after solving, the factors of equation 2x³+5x²-12x are:

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Number Line :

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.

or

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

On a number line, a number on the left is always less than a number on the right. Similarly, a number on the right is always greater than a number on the left.

The Number Line app helps students visualize number sequences and illustrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing. Choose number lines labeled with whole numbers, fractions, decimals, or negative numbers. Or use a custom number line, with or without tick marks, and set your own interval.

Show intervals between points on the line using forward or backward jumps above and below the line. Jumps can also be labeled with their values or left blank. Add custom tick marks to the number line to show equivalence or compare number values.

Basic Number Line Skills:

1. Find the dot marked on a number (and name the dot)

2. Place a dot at the desired location

3. Find the desired number below the number line’s tick mark*

   -17                -11        -2                 0

-----|-----------------|----------|----------------|-----------------------------------------------Number line

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Answer:

No.

Step-by-step explanation:

[tex]763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} [/tex]

The quotient of 405/27 fraction using division is 15.

It should be noted that the information is simply to divide the numbers.

In this case, the numerator is 405 and the denominator is 27

Therefore, the quotient based on the information illustrated will be:

= 405 / 27

= 15

Therefore, the quotient is 15.

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the answer is correct because you gave text evidence