Question 6-89a
Find the perimeter of the figure below.
15 km
4 km
7 km
10 km

By using the concept of equation of a Straight line,we arrive to the conclusion that the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively is 5x - 3y + 15 = 0.

Interception is the point where any line or curve crosses the axis.If the point of crossing line in x-axis then it is known as x-intercept .Similarly, if the point lies on y-axis is is named as y-intercept.

Here,according to the quesion:

x-intercept of the line is,a= -5

y-intercept of the line is,b= 3

The equation of the line here by formed with intercepts is:

[tex]x/a +y/b =1[/tex]

therefore x/(-5) + y/3 =1

                - 5x+3y = 15

                  5x -3y+ 15=0

So,the equation of the mention line is   5x -3y+ 15=0

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Answer: c . 6/121

Step-by-step explanation: 100% on edge

The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Given:

Beginner book=2

Intermediate book=6

Instructional piano books=11

Advanced books=3

Hence:

Probability=(2×3)÷(11×11)

Probability=6/121

Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

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#SPJ2

answer: 5.34

Step by step explanation 12.75 + 13.95=26.7

20% of 26.7 is 5.34

some problem , pls refer the attachment for your answer

Hope it helps ~

Answer:

Answer is the second one( -1/2)

Answer:

A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.

B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6

Answer:

belve t would be drives

Step-by-step explanation:

Hope ths helps.

Answer: I think the answer is 5.3x + 1.7

Answer:

I believe that it is 812 tiles.

Step-by-step explanation:

Answer:

812 tiles

Step-by-step explanation:

28 feet by 29 feet is 812, each tile is 1 square foot. This means that there are 812 tiles.

Answer: why is there two a’s?

Step-by-step explanation:

if those are the correct angles then 1 can be formed because every triangle always adds up to 180

Answer:

answer is 1

Step-by-step explanation:

I honestly made a lucky guess

Translating:

Please help

I believe you want me to factor it, so:

( x + 1/2 )^2 + ( a - 2 )^2 - 14/2

Answer:

[tex]x=a+1,\:x=-a-3[/tex]

Step-by-step explanation:

Remove parenthesis:

[tex]x^2+2x-a^2-4a-3=0[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=a+1,\:x=-a-3[/tex]

Answer:

[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]

Answer:

(2x +3) (4x +y)

Step-by-step explanation:

refer the image

Answer:

y=-6x

Step-by-step explanation:

decreasing 6/1 rise/run and no y int

Answer:

y= -6x

Step-by-step explanation:

As you move up vertically  from your y-intercept (0,0) six times, you can see that your x-intercept increased by -1. Because your x-intercept has increased by -1, there is a negative sign in front of 6x

There is no number after -6x because the place where your line meets the y-axis (y-intercept) is (0,0).

Answer:

Sunshine has $19 left after spending $10.

Step-by-step explanation:

29 - 10 = x

Subract 10 from 29 to solve for x.

x = 19

Answer:

Step-by-step explanation:

The system has infinitely many solutions if the two equations are equivalent.

We can analyze the given systems to see:

A)

Different slopes, there is one solution

B)

Different slopes, there is one solution

C)

Same lines, infinitely many solutions

D)

Different slopes, there is one solution

Solution:

When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.

Option A - 2x + 7x + y = 6 and y = 9x + 6

Option B - y = 5x + 7 and y = 2x + 8

Option C - y = x + 4 and 2y = 2x + 8

Option D - 7x - y = 10 and y = 6x + 8

Hence, Option C is correct.

Answer:

it depends on the circumstances

Step-by-step explanation:

Answer:

6-9 months I'm pretty sure

Answer:

the letter is answer F

Step-by-step explanation:

Hope this is good

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: g ≤ −2

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

(final - initial)/initial

48-40)/40

8/40

1/5

or 20% error

Answer:

0.875

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)

[tex]x\\[/tex]Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]x+4=2[/tex]

we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):

[tex]x=2-4[/tex]

solve :

[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]

[tex]x=-2[/tex]

now [tex]x[/tex] is equal to [tex]-2[/tex]

Answer:

x = -2

Step-by-step explanation:

x + 4 = 2

x + 4 - 4 = 2 - 4

x = - 2

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

[tex]16=1.2n+(-8)[/tex]

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]

Thus the equation can be used to represent the given statement is,

[tex]16=1.2n+(-8)[/tex]

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Answer:

we dont know 888484b484 94y48 84y

Step-by-step explanation:

we dont kbow 1298474add on to it and see rther but if not ok

Hi there!

8.

Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]

Thus, we can rearrange the expression in parts.

[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]

Now, combine these terms:

[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]

More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]

Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]

9)

Begin by solving the inside of the parenthesis.

[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]

10)

Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]

Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).

[tex]=( \frac{y^2}{xz^3})^2[/tex]

Square both the numerator and denominator.

Recall the property:
[tex](x^a)^b = x^{ab}[/tex]

[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]

\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}