Sally is currently in a city that is 100 ft below sea level. She then drives to a new city 50 ft above sea level. What integer represents the total distance sally drove

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

Answer:

1 hour ago-0*C3

hours ago-(-3*C)

4.5 hours ago- (-9*C

Answer:

Side AB is 13 plots long.

Step-by-step explanation:

Square sides A and side B

12 x 12 = 144

5 x 5 = 25

Now add the sides together. Then, find the square root of the sum.

144 + 25 = 169

[tex]\sqrt{169}[/tex] = 13

Check your work:

13 x 13 = 169

Answer:

? that makes no sense

Step-by-step explanation:

Answer:

n × 6 + 17 ≤ 21

Answer:

I think its 6

im not 100%sure

Step-by-step explanation:im in 7th grade tho

But can i get brainless

Answer:

6

Step-by-step explanation:

Have a good day :)

Answer:

(g-h)(x) = -x^3 - 4x - 2, so the answer is D.

Step-by-step explanation:

(g - h) = -x^3 - 2 - 4x

(g-h)(x) = -x^3 - 4x - 2

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[tex]y = \frac{1}{2} x + 1 \\ [/tex]

Multiply sides by 2

[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]

[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]

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

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

Subtract sides 2

[tex]x + 2 - 2 = 2y - 2[/tex]

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

Done...

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Answer:

Step-by-step explanation:

Question: y = 1/2x + 1

Given:

equation: y = 1/2x + 1

Unknown:

Equation in x = ?

1. Move the x variable to the side that the y is on.

y = 1/2x + 1

-1/2x -1/2x

2. Move the y to the side of the y-intercept

y - 1/2x = 1

-y - y

3. Divide both sides by -1/2 or multiply by -2

-1/2x = -y + 1

*-2 -2(-y + 1)

Hope it helped,

Kavitha Banarjee

Answer:

20

Step-by-step explanation:

5-1=4×5=20 that's why

Answer:

x = 20

Step-by-step explanation:

[tex]\frac{x}{5} + 1 = 5[/tex]

isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides

[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]

[tex]\frac{x}{5} = 4[/tex]

then isolate the x by multiplying both sides by 5

[tex]\frac{x}{5} * 5 = 4 * 5[/tex]

[tex]x = 4 *5 = 20[/tex]

so

[tex]x = 20[/tex]

hope this helps :))

Answer:

w = 10

l = 50

Step-by-step explanation:

Formula of Perimeter: w + w + l + l or 2w + 2l

l = 5w

2l + 2w = 120

2(5w) + 2w = 120

10w + 2w = 120

12w = 120

w = 10

l = 5(10)

l = 50

Check:

2l + 2w = 120

2(50) + 2(10) = 120

100 + 20 = 120

120 = 120

Hope This Helps!

Lets denote our variables as:

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:

2(x) + 2(5x) = 120

2x + 10x = 120

12x = 120

 x = 120/12

 x = 10 m → Width of the rectangle

Substituting in the length:

5x = 5(10) = 50 m → Length of the rectangle

Answer:

110

Step-by-step explanation:

It's only 10 points, but

33 Km

I used the perimeter, triangle area theorem, and angle theorem

You meant to say x^2 - 49 and the second binomial is x^2 - 16.

x^2 - 49 = (x - 7) (x + 7).

Set each factor to 0 and solve for x individually.

x - 7 = 0

x = 7

x + 7 = 0

x = -7

Do the same for x^2 - 16.

Here is the set up:

x^2 - 16 = (x - 4) (x + 4).

Take it from here.

Answer:

x = 24°

General Formulas and Concepts:

Pre-Alg

Geometry

Step-by-step explanation:

Step 1: Set up equation

x + 156 = 180

Step 2: Solve for x

Answer:

357

Step-by-step explanation:

First you would add 61 to 148 for Brian's sore then you would add Brian's score to Colin's score to get 357. Hope this helps! Have a great day!

Answer:

Step-by-step explanation:

This is a dotted line.

Answer:

I am confused!

Step-by-step explanation:

Answer:

A. tan A = sin A / sin C

Step-by-step explanation:

Answer:

tan A = sin A / sin C

Step-by-step explanation:

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

[tex]\frac{x}{28}=\frac{5.8}{3.2}[/tex]

x = [tex]\frac{5.8\times 28}{3.2}[/tex]

x = 50.75

x ≈ 50.8 ft

Answer:

50.8 feet is correct

Step-by-step explanation:

test says so

Answer:

x = -1.6

Step-by-step explanation:

Original equation:

5x + 9 = 1

Subtract 9 from both sides

5x = -8

Divide both sides by 5

x = -1.6

Hope this helps :)

Please consider Brainliest :)

Answer:

Step-by-step explanation:

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Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

Answer:

-5

Step-by-step explanation:

To calculate the gradient of the slope, we have to calculate the [tex]\frac{rise}{run}[/tex].

[tex]\frac{3-(-7)}{9-11}[/tex] = [tex]\frac{3+7}{-2}[/tex]

[tex]\frac{3+7}{-2}[/tex] = [tex]\frac{10}{-2}[/tex]

[tex]\frac{10}{-2}[/tex] = -5

Answer: y = -2x

M is the midpoint of PQ

=> M(0;0)

the line PQ passes through P(2;1) and Q(-2;-1)

=> (PQ): 2x - 4y = 0

have:

(d): perpendicular (PQ)

     passes throgh M(0;0)

=> (d): 4x + 2y = 0 ⇔ y = -2x

Step-by-step explanation:

The equation of the perpendicular bisector of PQ is,

⇒ y = - 2x

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;

The point P has coordinates (2, 1) and the point Q has coordinates(-2, -1).

Hence, The slope of line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (- 2 - 2)

m = - 2 / - 4

m = 1/2

Thus, The slope of perpendicular line is,

⇒ m = - 2

The midpoint of coordinates (2, 1) and (- 2, - 1) is,

⇒ (- 1 + 1) / 2 , (- 2 + 2) / 2

⇒ (0, 0)

Hence, The equation of line is,

⇒ y = mx + b

⇒ 0 = - 2 × 0 + b

⇒ b = 0

Hence, The equation of the perpendicular bisector of PQ is,

⇒ y = - 2x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

64.8°

Step-by-step explanation:

A

Please see attached a rough sketch for your reference

Step one:

Given data

the distance you are standing from the building represent the adjacent =400ft

and the height of the building represents the opposite= 850ft

Step two:

Required is the angle of elevation

applying SOH CAH TOA

Tan ∅= opp/adj

Tan ∅= 850/400

Tan ∅=2.125

∅=Tan-1(2.125)

∅=64.8°

The angle of elevation 64.8°

You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.

The measurement of angle of elevation is [tex]64.798^\circ[/tex]

What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

See the figure attached below to understand the symbols used in calculations.

Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).

Let you're standing on point O

Let the building's base is point A.

Let the top of the building is tagged as point E.

Then we have:

Length of OA = 400 ft.

Length of AE = 850 ft.

To find: angle AOE.

[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]

Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]

Learn more about angle of elevation here:

https://brainly.com/question/12483071

Step-by-step explanation:

y + 1 = 5(x + 6)

y + 1 = 5x +30

y = 5x +30 -1

y = 5x + 29