Which of the following graphs correctly shows the image of the figure after a translation 4 units left and 3 units down?

Answer and Step-by-step explanation:

Simply use triangles to find the length of the lasers.

The first triangle consists of the sides of 12 inches, 18 inches, and the laser (which is the hypotenuse).

Use the Pythagorean theorem to solve for the hypotenuse.

([tex]a^{2}+ b^{2} = c^{2}[/tex])

[tex]12^{2} +18^{2} = l^{2} \\\\144 + 324 = l^{2} \\\\468 = l^{2} \\\\Square-root-both-sides\\\\\ \\\sqrt{468} = l[/tex]

l ≈21.633

Now, we solve the other triangle.

[tex]9^{2} +6^{2} = l^{2} \\\\81 + 36 = l^{2} \\\\117 = l^{2} \\\\Square-root-both-sides\\\\\sqrt{117} =l\\l = 10.8167[/tex]

Now, add those two hypotenuses.

21.6333 + 10.8167 = 32.45

32.45 rounds up to 32.5

32.5 is the total distance the laser beam travels.

#teamtrees #WAP (Water And Plant)

Answer:

The electricity is $500 and the rent is $650.

Step-by-step explanation: I think you just subtract 650 from 1150.

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

Answer:

Speed = Distance/time in km/h

a) 18 feet in 20 minutes

0.0054864 km/0.333333hours

=0.01645921645 km/h

b) 90 feet in 2.5 hours

0.027432km/2.5

=0.0109728 km/h

c) 20 yards in 1.5 hours

0.018288km/1.5

=0.012192 km/h

d) 3 2/3 yards in 15 minutes

0.003352800000003048km/0.25hours

=0.0134112

So I think its safe to say that A is the fastest in comparison

Answer:

10√2

Step-by-step explanation:

This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units

We can then use a^2+b^2=c^2 to solve for the last side

so we have

10^2+10^2=x^2

200=x^2

sqrt200=x

and I see that they want an exact answer so you simplify sqrt200 to

10√2

Answer:

b = 6 when a=12 and

c=100

Step-by-step explanation:

b = (k*a)/√c

b=5 when a=2 and c=4

5 = (k*2)/√4

5 = 2k/2

Cross product

5*2 = 2k

10 = 2k

k = 10/2

= 5

k = 5

find b when a=12 and

c=100

b = (k*a)/√c

= (5*12)/√100

= 60/10

= 6

b = 6

Weight of slab of beeswax isn't given.

Assume slab of beeswax = 36 gram.

Answer:

3 gram

Step-by-step explanation:

Each slab of beeswax = 36 gram

Total weight of all 3 slabs = (3 * 36) = 108 g

Number of same-sized candles to make = 36

The weight of each candle will be ;

Total weight of slabs / number of candles

108 g / 36

= 3 grams

Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]

[tex]x = 20[/tex]

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

Answer:

Rewrite (Lambert form):

[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]

Simplify :

[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]

Solve:

[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]

Result:

[tex]x=2,\:x=1[/tex]

Hope this helped u :)

If this was too complicated I can edit it for you.

Answer:

use the scan & solve that brainly provided for you it'll make the work easier trust me

Answer:

x = 4

Step-by-step explanation:

-(7-4x) = 9

-7 + 4x = 9

+7             +7

4x = 16

divide both sides by 4

x = 4

Hope this Helps!!!

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1,200

2500+1200=3700

Answer:

y = 23

x = 28

Step-by-step explanation:

Find y first.

3y + 5y - 4 = 180                     The two angles are supplementary if the all the lines are parallel.  Combine the left side.

8y - 4 = 180                              Add 4 to both sides

8y - 4 + 4 = 180 + 4

8y = 184                                   Divide both sides by 8

y = 23

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

Now if the lines are parallel, then 3y = 2x + 13

But we already know y

3*23 = 2x + 13                         Do the multiplication

69 = 2x + 13                             Subtract 13

56 = 2x                                    Divide by 2

x = 56/2

x = 28

Answer:

y = 23

x = 28

Step-by-step explanation:

Shoooooot i am so late with this answer, so so sorry haha-

and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.

uhm, have a good day!

Answer:

ghnmjmmm

Step-by-step explanation:

fggnmmm

Answer:

x= 4

y= 2

Step-by-step explanation:

sorry if im wrong

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

Answer:

There is no way to solve this for x or y, as only one relationship between those variables is provided.  We can, however simplify that expression.

6x + 5 - 4y - 2x + y

group like terms:

= 6x - 2x - 4y + y + 5

add like terms together

= 4x -3y + 5

And that is as much as can be done with just that expression.

The simplest form of the given equation 6x+5-4y-2x+y is 4x - 3y + 5.

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Given an expression 6x+5-4y-2x+y

simplifying it

=> 6x -2x -4y + y +5

(adding terms with same variable)

=> 4x - 3y + 5.

therefore, the simplest form of the given equation is 4x - 3y + 5.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

Answer:

-4/9z-7

Step-by-step explanation:

7/9z-6/9z+2-5/9z-9

=7/9z-6/9z-5/9z+2-9

=(7-6-5)/9z+(2-9)

=-4/9z-7

Answer:

the amount left is 16.2

Step-by-step explanation:

The computation of the amount of money spend is shown below;

Given that

Total money available $20

This week 10% would be put in piggy bank

and, in next week 10% of the money would be put again in piggy bank

So the money left is

= $20 - $20 × 10% - ($18 × 10%)

= $20 - $2 - $1.8

= $16.2

Hence, the amount left is 16.2

Answer:

x = 80

measure of exterior angle = 112°

Step-by-step explanation:

32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)

32 + x = 2x - 48

32 = x - 48

x = 80

plug in,

2(80) - 48

160 - 48 = 112

Answer:

74% 3/4 and .76 just like that

atStep-by-step explanation:

Answer:

multiply them.

Step-by-step explanation:

Answer:

B now give me brain

Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

Hope it helped!

Answer:

V=1.3(repeating)A+1.3(repeating)M

Answer:

5d

Step-by-step explanation:

5(d) or 5×d or 5•d

d is unknown

Answer:

Step-by-step explanation:

no