Need help!!! Worth 40 points!!!

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (-3,-6) and (2,-2). So, the equation of line is

[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]

[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]

Subtract 6 from both sides.

[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]

Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].

Answer:

The slope is 3/4 and the y-intercept is -5.

Step-by-step explanation:

Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!

Answer:

the answer is 6

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Answer:

A) t=5d

Step-by-step explanation:

Since the problem states "He rode 1 mile in 5 minutes",  that means for every mile Andre travels, it will take him 5 minutes for each mile.

Therefore, the equation that best works is t=5d because the coefficient is 5 where it's the slope representing 5 minutes per mile.

Answer:

y=x+6 is the correct answer:)

Step-by-step explanation:

Step-by-step explanation:

a could be 3580 X 1.25^n

b could be 6992.19

dk c

Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time =  2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = [tex]\frac{P * R * T}{100}[/tex]

    =[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]

    = $3598.833

Final amount to be repaid = 332200+ 3598.833

                                            = $335798.833

Answer:

0,2

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

Answer:

(3.5, 3) and (0,-4)

Step-by-step explanation:

Zeros are the points that are on the x-intercept. The points not on the x-intercept are (3.5, 3) and (0,-4)

Answer:

49 words per minute

Step-by-step explanation:

2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute

May I get brainliest please? :)

Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,

Typing speed of Yousef = 36 words/ (2/3) minutes

                                         = (36×3)/2 words per minute

                                         = 54 words per minute

Hence, the typing speed of Yousef in a minute is 54 words per minute.

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Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

He can buy 5 pounds of peaches.

Step-by-step explanation:

2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.

Step-by-step explanation:

1. (4m² - 1.5m + 2) + (9m - 2m³ + 2m)

= 4m² - 1.5m + 2 + 9m - 2m³ + 2m

= 4m² + (-1.5m + 9m + 2m) + 2 + 2m³

= 4m² + 9.5m + 2 + 2m³

= 2m³ + 4m² + 9.5m + 2

2. (-3y + 2y² - 6) + (3y + 4y² + x)

= -3y + 2y² - 6 + 3y + 4y² + x

= (-3y + 3y) + (2y² + 4y²) - 6 + x

= 0y + 6y² - 6 + x

= 6y² - 6 + x

Answer: Answer= 480a^2

Step-by-step explanation

1. remove the parentheses =-16a*10*3a

2. Multiply the numbers 16*10*3= 480

3. Apply exponent rule =aa=a^1+^1  = -480a^1+^1

Answer= 480a^2

Answer:

B

Step-by-step explanation:

Expand to get -4y+2-3y. Combine like terms to get -7y+2.

Answer: D.

Step-by-step explanation:

Can it help you.

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

Step-by-step explanation:

Answer:

x = 26

Step-by-step explanation:

The midsegment is parallel to the side KM and half its length, thus

KM = x = 2 × 13 = 26

Answer:

here is explanation by graph

Answer:

Step-by-step explanation:

y = 0.25x + 8

(0, 8) are coordinates of y=intercept

y = 0.25 × 2 + 8 = 8.50

(2, 8.50)

The last table represnts the given equation.

The fourth table among all the options contains values that satisfy the equation y = 0.25x + 8.

An equation is a combination of two or more expressions, all equal to each other.

Let's check every table if every point in them satisfies the equation y = 0.25x + 8,

Table 1:

To check if (0, 8) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8 = RHS

This point satisfies the equation.

To check if (2, 8.25) satisfies the given equation,

RHS: 0.25 × 2 + 8 = 0.50 + 8 = 8.50

LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 2:

To check if (0, 0) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 0 ≠ RHS

This point does not satisfy the equation.

Table 3:

To check if (0, 8.25) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 4:

To check if (0, 8) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8 = RHS

This point satisfies the equation.

Similarly, all the points can be verified that they satisfy the equation.

Thus, all values in Table 4 satisfy the given equation.

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Answer:

43

Step-by-step explanation:

Answer:

Step-by-step explanation:

These types of problems can be solved with substitution.

We just have to translate the word problem into math.

#1:

F = family, I = individual

[tex]F + I = 188\\95F + 42I = 12,507[/tex]

[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]

87 Families, 101 individuals

#2:

The perimeter is 899 meters. The perimeter can be defined as:

[tex]2L + 2W = P\\2L + 2W = 899[/tex]

We are also given that

[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]

W = 333 meters, L = 233/2 meters

Answer:

675

Step-by-step explanation:

If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price

Let x be the original price

x* 80% = 540

Change to decimal form

x * .80 = 540

Divide each side by .80

.80x / .80 = 540/.80

x =675

The original price is 675

9514 1404 393

Answer:

  interval notation for all numbers except those that are at least -1 and less than 2.

Step-by-step explanation:

The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...

  -∞ < x < -1 . . . . . for a value represented by x

The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.

The brackets on the right indicate the interval ...

  2 ≤ x < +∞ . . . . . for a value represented by x

The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.

By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.