1. A car travels 40 miles west then goes 30 miles north. How far is the car from its starting point?

Answer:

The x-intercept of the function is 4 which represents the total time of the trip, in hours.

Step-by-step explanation:

Since Skylar was a distance of 0 miles from City A after 4 hours, the x-intercept of 4 represents how many hours it took Skylar to drive from her house to City A.

Have a good day :)

The x- intercept is 4 hours.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δxwhere,m is the slope

Given:

D=120-30t.

According to slope - intercept form

y= mx+ b

where m is the slope and b is the y intercept.

So,  the x-intercept

0= 120- 30t

t= -120/ (-30)

t= 4

Hence, the x- intercept is 4 hours.

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Answer:

Midpoint = (10,6)

Step-by-step explanation:

Using Coordinates: X(6,5) and Y(14,7)

Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2

Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2

Midpoint of XY = (20) / 2, (12) / 2

Therefore the midpoint of XY is (10,6)

Answer:

(x − 2)(x − 3)

Step-by-step explanation:

x² - 5x + 6

(x − 2)(x − 3)

Answer: y=4x-5

Step-by-step explanation:

The slope of y=4x+23 is:4 m=4  

The parallel line needs to have the same slope of 4

Solve it using the "point-slope" equation of a line:   y− y1 = 2(x − x1)

substitute or put in the point (2,3):

y − (3) = 4(x − 2)

y - 3 = 4x - 8      

 put it in slope intercept form y = mx + b  

y  = 4x − 5

Answer:

translation

Step-by-step explanation:

translation move with same shape and size

Answer:

translation

Step-by-step explanation:

move the same ship and size

Step-by-step explanation:

GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.

I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!

The area of a shape is the amount of space it can occupy.

The value of r is 13

From the question (see attachment), we have:

[tex]\mathbf{A =176}[/tex] --- area of the shaded region

[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region

The area of the complete circle would be:

[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]

The area of the small circle is:

[tex]\mathbf{A_2 =\pi r^2}[/tex]

So, the area of the shaded region is:

[tex]\mathbf{A = A_1 - A_2}[/tex]

Substitute known values

[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]

Substitute 2 for w

[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]

Expand

[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]

Open brackets

[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]

Cancel out line terms

[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]

Divide through by 4

[tex]\mathbf{44 =\pi r + \pi }[/tex]

Factor out pi

[tex]\mathbf{44 =\pi(r+ 1) }[/tex]

Divide through by pi

[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]

Substitute 22/7 for pi

[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]

Using a calculator, we have

[tex]\mathbf{r + 1= 14}[/tex]

Solve for r

[tex]\mathbf{r= 14 -1}[/tex]

[tex]\mathbf{r= 13}[/tex]

Hence, the value of r is 13

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The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14

The height of the tree after x years can be represented as a linear equation thus :

Number of years when the tree will be 20 feets tall :

The tree would be atleast 20 feets tall in 14 years x this can be expressed thus

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Answer:

Idiosyncratic apricot

Answer:

(3x-8y) is equivalent

Step-by-step explanation:

Answer:

[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]

Answer:

325.62

Step-by-step explanation:

Find the number in the hundredth place  2  and look one place to the right for the rounding digit  3. Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

Answer:

x > 6 in interval notation is: (6, ∞)

NOTE:

Interval notation is a way to represent an interval as a set of numbers. The numbers are the endpoints of the interval.

-----

Build the interval notation for x:

Since you did not enter an equal sign, this translates to ( since we will not be including the number 6

Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

(6,+∞)----- (answer)

Set Builder Notation for x:

{ x | x>6 } where | denotes such that

Display the literal representation for x

7,8,9,10,11,12,13,14,15,16,...,∞

Answer:

The answer is A

Step-by-step explanation:

Answer:

56is shjdns djdndjsndnskdvdjdnshdkd

Answer:

-10² = -100

Step-by-step explanation:

The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.

The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.

Hope this helps.

A power in mathematics is defined as the exponent to which a whole number is raised.

There is no error in evaluating the expression because [tex]-10^{2} = 100[/tex]

When multiplying two negative numbers, their negative signs tend to cancel out

-a x - a = [tex]a^{2}[/tex]

The power for a is given as 2

To solve the above question:

[tex]-10^{2}[/tex]

This can be written as:

-10 x -10

= 100

Therefore, there was no error in the evaluation of the expression.

because [tex]-10^{2} = 100[/tex]

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Answer:

$30.

Step-by-step explanation:

70/28 = 2.5

12 x 2.5 = 30

Answer:Nope

Step-by-step explanation:

The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex.  We must find whether that vertex is equal to or exceeds 12m.  One can graph the equation and find that the vertex is at (1,11), below the 12.  It cannot reach 12 meters.

[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].

Answer:

L.C.M of 432 and 486: 3888

H.C.F of 432 and 486: 54

Step-by-step explanation:

Answer:

the answer Is 5

Step-by-step explanation:

1.25 × 4 = 5

Answer: i think is D

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

plz mark brainly

Answer:

15,000 m²= 1.5 hectares

2.5 hectares= 25, 000 m²

Step-by-step explanation:

Sana makatulong

Hello!

Answer:

3x^2-14x+15

Step-by-step explanation:

Hope this helps!

Answer:

3×10'-2 is larger

Step-by-step explanation:

2×10'-3=0.002

3×10'-2=0.03

Answer:

3x10^-2 is larger

Step-by-step explanation:

2x10^-3 = 0.002

beause 10^-3 = decimal place three place to the left

3x10^-2 = 0.03

beause 10^-2 = decimal place two place to the left

Answer:

1225.50

Step-by-step explanation:

14% of 1075 =0.14 x 1075=150.5

1075 +150.5 = 1225.5

The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

The total cost before tax was $1,075.

The tax rate is 14%

14% of $1075 will be,

(14/100)1075 = $150.5

Total cost includes tax = $1075 + $150.5 = $1225.50

Hence "The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50".

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Answer:

3

Step-by-step explanation:

Answer:

3 pounds

                                                    1p+1p+1p=3p

Step-by-step explanation: 4p +2j +2j +2j =10pounds which is more than 8p