Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car has traveled 12 kilometers. If the two cars are now a straight-line distance of 15 kilometers apart, how far has the northbound car traveled?

Answer:

Subtract 2 from each side

Step-by-step explanation:

3x + 2 = 12

Subtract 2 from each side

3x+2-2 =12-2

3x = 10

Answer:

(x+6) (x+6)

Step-by-step explanation:

x^2 + 12x+36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

Answer:

[tex](x + 6)(x + 6)[/tex]

Step-by-step explanation:

[tex]36 + 12x + {x}^{2} \\ {x}^{2} + 12x + 36 \\ {x}^{2} + 6x + 6x + 36 \\ x(x + 6) + 6(x + 6) \\ = (x + 6)(x + 6)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Is answer is option B

Answer:

B

Step-by-step explanation:

Given the 2 equations

x - 2y = 3 → (1)

2x - 3y = 9 → (2)

Multiplying (1) by - 2 and adding to (2) eliminates the term in x

- 2x + 4y = - 6 → (3)

Add (2) and (3) term by term to eliminate x, that is

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(3) = 3

x - 6 = 3 ( add 6 to both sides )

x = 9

Solution is (9, 3 ) → B

Answer:

False

Step-by-step explanation:

Cost is not a complete ways to compare different modes.  We also need to look at the time of each mode of transportation.  Walking is very cheap  (the cost of shoes and water)  but would take a very long time.  We would also have to look at the convenience factor.  The bus may be cheap but it may not run when and where you need it.

It is, that would be true

Answer:

6859 is not perfect cube.

Step-by-step explanation:

First we will find all factors under the cube root: 6859 has the cube factor of 361. Let's check this width ∛361*1=∛6859. As you can see the radicals are not in their simplest form. Now extract and take out the cube root ∛361 * ∛1. Cube of ∛361=19 which results into 19∛1 All radicals are now simplified.

 hope it helps

Answer:

point and line

Step-by-step explanation:

Answer:

297cm^3π

Step-by-step explanation:

R is a radius of the base of a cone, and r of top surface radius.

V=(1/3)×π×depth×(r^2+r×R+R^2)

V=(1/3)×π×3cm×(3^2+3×4.5×4.5^2)

V=(1/3)×π×3cm×(9cm^2+3cm×4.5cm×20.25cm^2)

V=(1/3)×π×3cm×(12cm^2×24.75cm^2)

V=(1/3)×π×3cm×(297cm^4)

V=(1/3)×π×891cm^3

V=(891cm^3/3)π

V=297cm^3π

hope it help yuh

plz mark brianliest if its correct

Answer:

32

Step-by-step explanation:

So the order of the points is: GHJK

GH = x+10 =JK

HJ=8

JK=2x-4

JK = x+10=2x-4

x+10=2x-4

10+4=2x-x

x=14

GH= 14+10 =24

GJ = GH +HJ = 24+ 8=32

Answer:

m = 13

Step-by-step explanation:

To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.

1. 7m = 91

2. (7m)/7 = 91/7

3. m = 13

Hope this helps! (Please consider giving brainliest)

Answer:

6.5%

Step-by-step explanation:

M.P= ₹6,000

Amount excluding VAT= 5,610

discount= x/100

discount= 6000*x/100=60x

equating

6000-60x= 5610

6000-5610=60x

390=60x

390/60=x

6.5=x

therefore, there is a discount of  6.5%

Answer:

[tex]45.4 cm^2[/tex]

Step-by-step explanation:

The area of the sector of a circle is given as:

[tex]\frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of the sector

r = radius

The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:

A = [tex]160/360 * \pi * 5.7^2[/tex]

A = [tex]45.4 cm^2[/tex]

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Let's form some equations:

I'll refer to Joyal's age as 'x'

Therefore, his mother's age is '3x'

Here is the equation we create:

x + 5 + 3x + 5 = 66

Simplify this:

4x + 10 = 66

- 10 from both sides:

4x = 56

/4 on both sides

x = 14

3(14) = 42

So, currently Joyal is 14 and his mother is 42

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Answer: a=3, b=3

Step-by-step explanation:

Let's rewrite this expression on the left side so that it matched the form on the right side.

[tex]\frac{(2xy)^4}{4xy}=\frac{16x^4y^4}{4xy}=4x^3y^3[/tex]

Now, you can see the left side matches the same form as the right side.

4x³y³=4xᵃyᵇ

Since they're the same equation, a=3 and b=3.

Answer:

Step-by-step explanation:

9x^2 + 24x + 16 = 0

(3x + 4)(3x+4)=0

3x + 4 = 0

3x = -4

x = -4/3

3x + 4 = 0

3x = -4

x = -4/3

Answer:

Step-by-step explanation:

First of all, remember that [tex]sin(0)=0[/tex] and [tex]cos(0)=1[/tex]. As you can see, the sine function won't be affect by [tex]a[/tex], because its value is null.

However, the x-intercept of the cosine function depends on the [tex]a[/tex] value, because the function is equal to the unit.

On the other hand, the variable [tex]b[/tex] won't affect any function, because it would be always zero.

Therefore, the sine function won't be affected, but the consine function will.

Answer:

2.57 cm

Step-by-step explanation:

sides of full frame with photo:

2x+16 and 2x+10

Area A= (2x+16)(2x+10)

Area of photo alone P= 16*10

As per question: A=2P

Answer:

D. both functions are increasing but g increases at a faster rate

Step-by-step explanation:

if you compare points of f(x) and g(x)

g(x) is:

(-1,-52)

( 0, -16)

(1, -4)

(2,0)

If you plot the points f(x) is above then equal and  then below g(x)

Answer:

45

Step-by-step explanation:

1/6 of 54= 9

9*5=45

Answer:

They both would cross each other again in the next 5 minutes

Step-by-step explanation:

The first thing to do here is to calculate the lowest common multiple of the average speed of both drivers.

That would be the lowest common multiple of 1.2 miles per minute and 1.8 miles per minute.

That would be 3.6 miles per minute.

Now to get the time at which they would cross each other again, we simply divide the total distance around the circular track by the lowest common multiple of their average speed.

That would be 18/3.6 = 5

This means they would cross each other again in the next 5 minutes

Answer: (A) [tex]12+12\sqrt{12}[/tex] .

Step-by-step explanation:

Perimter is the sum of the all sides of a figure.

As the given design has three exactly same or identical triangles with side-lengths [tex]2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in[/tex] joined by ending vertices.

Then, the combined operimetr of thge design would be :

3 x (Perimeter of the one triangle)

For this , Perimeter of one triangle = [tex]2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in[/tex]

Now , the combined operimetr of thge design would be :

[tex]3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in[/tex]  or   [tex]12+12\sqrt{12}\ in[/tex]

Hence, the correct option is (A) [tex]12+12\sqrt{12}[/tex] .

Answer:

it is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

Answer:

C: the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1

Step-by-step explanation:

I got it right on Edg. 2020

Answer:

5^-2 ^2

and 5^2 * 5^-6

Step-by-step explanation:

There are 4 (1/5)'s multiplied together so

(1/5) ^4 = 1^4 / 5^4 = 5^-4

and

we know that 5^-2 ^2 = 5^(2*-2) = 5^-4

and 5^2 * 5^-6 = 5^(2-6) = 5^4

Answer:

A and D

Step-by-step explanation:

[tex](5^{-2})^{2}=5^{-2*2}=5^{-4}=1/{5^{4}}\\\\5^2*5^{-6}=5^{-6+2}=5^{-4}=1/{5^{4}}[/tex]

Answer:

the X axis

Step-by-step explanation: The independent variable belongs on the horizontal x-axis, and the dependent variable belongs on the vertical y-axis.

Answer:

The y-axis.

Step-by-step explanation:

In this case, the number of packs of pencils determines the number of pencils you have. Remember that the x-axis is the independent variable and y-axis is the dependent variable.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

The answer is "never".

Step-by-step explanation:

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25 is 1/3 of 75

You can calculate it this way:

(25/75) x 100 = 33.3333

Thus, your answer would be option D

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Answer:

D.

Step-by-step explanation:

First make it as a fraction:

[tex]\frac{25}{75}=\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] = 33.3333...%

Answer:

perimeter is 35.6 area is 108

Step-by-step explanation:

it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base [tex]6^{2} +5x^{2} =[/tex]61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60

the whole perimeter if 15.6+20=35.6 the area is 60+48=108

Answer:

50 m squared

Step-by-step explanation:

You have to solve for the areas and then add

Answer:

48 f t

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3 - (-2)

Subtracting a negative is like adding

3+2

5