Which variable expression represent the word phrase? The sum of 10 and the product of 7 and a number

A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located

makkiz [27]

The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is $d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span> $d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63$

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
$d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93$

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span> $d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49$
<span>
D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>

3 0

3 years ago

Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over th

sleet_krkn [62]

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

7 0

3 years ago

What is the value of x?<br><br><br><br> Enter your answer in the box.

charle [14.2K]

Hi there!

We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value). Therefore, angle S and is equal to one-third of the triangle's angle measure.

180/3=60

60=7x+4

56=7x

x=8

-AwesomeRepublic :)

4 0

3 years ago

Read 2 more answers

If a 200 N net force acts on a 500 grams car, what will the acceleration of the car be?

ladessa [460]

Answer:

The acceleration of the car will be 400 m/s².

Step-by-step explanation:

The acceleration of the car can be found using Newton second law:

$F = ma$

Where:

F: is the net force = 200 N

m: is the mass = 500 g

a: is the acceleration =?

Then, the acceleration will be:

$a = \frac{F}{m} = \frac{200 N}{500 g*\frac{1 kg}{1000 g}} = 400 m/s^{2}$

Therefore, the acceleration of the car will be 400 m/s².

I hope it helps you!

4 0

2 years ago

14 and 15 please thank you

Elanso [62]

Problem 14

<h3>Answer: They bought <u>too much</u> sand</h3>

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Explanation:

Because the sandbox is a rectangular prism, aka a block, we multiply the length width and height to get the volume.

Volume = length*width*height = 6*5*1.2 = 36

The volume of the sandbox is 36 cubic feet.

The customer bought 40 cubic feet of sand, which exceeds the volume we computed earlier. The customer bought <u>too much</u> sand.

If it was a choice of buying too much or too little, I think it's better to go overboard just so you don't have to return to the store. The extra amount of sand (40-36 = 4 cubic feet) can possibly sold or donated at a later time.

==========================================================

Problem 15

<h3>Answers:</h3>

The equation could be 306.52 = 19.4h or 19.4h = 306.52
Either equation mentioned solves to h = 15.8; so the height of the prism is 15.8 meters

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Explanation:

The rectangular prism formula to calculate the volume is

Volume = length*width*height

Note that the portion "length*width" can be replaced with "base area", because the base area is a rectangle.

So we can have this alternative formula

Volume = (base area)*height

If we know the area of the floor, and multiply by the height of the wall, then we can calculate the volume of a room like this. In this case, the floor is 19.4 square meters in area. The overall room is 306.52 cubic meters. We'll let h be the height of the wall. Use algebra to solve for h

Volume = (base area)*height

306.52 = 19.4h .... is one equation to set up

19.4h = 306.52

h = 306.52/19.4

h = 15.8

We divide both sides by 19.4 to undo the multiplication going on.

The height of the prism is 15.8 meters.

6 0

2 years ago