The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?

[tex]y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5[/tex]

[tex]y=4^x[/tex]

OK, we'll go in steps.  First a reflection through the x axis, which negates y.

[tex]y = -4^x[/tex]

Now a vertical scaling of 2/3

[tex] y = -\frac 2 3 \cdot 4^x[/tex]

Now we shift seven units to the right,

[tex] y = -\frac 2 3 \cdot 4^{x+7}[/tex]

Now down five,

[tex] y = -\frac 2 3 \cdot 4^{x+7} - 5[/tex]

There it is.

Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice

Answer:

3 units.

Step-by-step explanation:

If you view the triangle face in halves, the bottom leg is  units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.  

Answer:

A

Step-by-step explanation:

The reason it is A is because

It goes in biggest to lowest A B C D

C and B don't follow that so we are left with A and D

In answer D   C and B are too close in percentage therefore it cannot be D

Therefore your answer is A

Hope this helped!

Answer:

C

Step-by-step explanation:

Answer:

B 89 points

Step-by-step explanation:

you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests

hope this helped<33

Answer:

C

Step-by-step explanation:

Answer:

D cannot be used. first 3 are correct

Step-by-step explanation:

Answer:

x=24 y=19

Step-by-step explanation:

2y=y+19

y=19

2x-8=x+16

x=16+8

x=24

Answer:

x = 24

y = 19

Step-by-step explanation:

Set the expressions with the x-variables together, and the y-variables together, like so:

2x - 8 = x + 16

Subtract x from both sides:

x - 8 = 16

Add 8 to both sides:

x = 24

Solving for y:

2y = y + 19

Subtract y from both sides:

y = 19

No map given but it shouldn't matter.

E is the 5th letter, L the 12th.

Start at S(6,12).  End at E(10,5)

The vector between them, E-S=(4,-7)

Each unit is 1/16 of a mile, though that probably doesn't matter that much.

Doug has to stay on the grid, so has to run |4|+|7|=11 units.  At 30 mi/hr that takes (11/16)/30 =  0.022916 hours.

Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units.  At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.

Answer:  Doug wins

Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph.  That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.

Answer:

Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.

Step-by-step explanation:

Each city block is a square 1/16 mile by 1/16 mile.

From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.

leg1 = 4 * 1/16 mile = 0.25 mile

leg2 = 7 * 1.16 mile = 0.4375 mile

The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.

a^2 + b^2 = c^2

(0.25 mile)^2 + (0.4375 mile)^2 = c^2

c = 0.50389

The direct distance from one corner to the other is 0.50389 miles.

The bird travels this distance since the bird can fly above the streets.

The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles

Now we need to see what takes less time:

Bird: distance of 0.50389 miles at 20 mph, or

Dog: distance of 0.6875 miles at 30 mph

We start with the formula for speed:

speed = distance/time

s = dt

Now we solve it for time:

st = d

t = d/s

Time equals distance divided by speed.

Now we find the times for the bird and for the dog.

Bird:

t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes

Dog:

t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes

The bird takes 1.51 minutes, and the dog takes 1.38 minutes.

The dog takes less time to get there, so the dog wins.

Answer:

The volume of the new tent will be 3/2 times the volume of the original

Step-by-step explanation:

The original tent is a triangular prism, which missing dimensions of the tent are:

Volume of the original tent:

V = 1/2*b*h*l

The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.

Volume of the new tent:

V' = 1/2*b*h'*l

Dividing V' by V:

V'/V = (1/2*b*h'*l)/(1/2*b*h*l)

V'/V =h'/h

Replacing with data:

V'/V =6/4

V' = 3/2*V

Answer:

its 10 points not 50

Step-by-step explanation:

Answer:

C. The source is credible because it contains facts and information that are accurate.

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.

Answer:

arc BAD = 244°

Step-by-step explanation:

The sum of the angles around the centre of the circle = 360°, thus

∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°

The angle at the centre is equal to the arc that subtends it, thus

arc BAD = arc BA + arc AD = 136° + 108° = 244°

The requried measure of arc BAD on circle P is given as  244°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as

∠APD = 360° - (136 + 74 + 42)°
∠APD   = 360° - 252° = 108°

The angle at the center is equal to the arc that subtends it, thus

Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°

Thus, the requried measure of arc BAD on circle P is given as  244°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Consider the triangle ABD,

Here,

AB = 5

BD = 15

AD = s

As we know,

In a triangle, the sum of lengths of two sides is greater than the third side.

So,

[tex]5 + 15 > s[/tex]

[tex]15 + s > 5[/tex]

[tex]s + 5 > 15[/tex]

Now,

To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer: the value of s is 17 units

Step-by-step explanation: youre welcome

Let x represent number of rabbits and y represent number of chickens.

We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.

[tex]x+y=30...(1)[/tex]

[tex]y=30-x...(1)[/tex]

We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].

We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].

Since all animals has 76 legs in all, so we can represent this information in an equation as:

[tex]4x+2y=76...(2)[/tex]

Upon substituting equation (1) in equation(2), we will get:

[tex]4x+60-2x=76[/tex]

[tex]2x+60=76[/tex]

[tex]2x+60-60=76-60[/tex]

[tex]2x=16[/tex]

[tex]\frac{2x}{2}=\frac{16}{2}[/tex]

[tex]x=8[/tex]

Therefore, Jessie have 8 rabbits on his farm.

Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].

Therefore, Jessie have 22 chickens on his farm.

Answer:

25 + 11

Step-by-step explanation:

As it is summing up by odd numbers

so 16+9 is 25

and then 25 + 11 as eleven is the next odd number after 9

Answer: 25+11

HOPE THIS HELPS

Answer:

The value of x is 2

Step-by-step explanation:

Diameter = 2r -------------------------------------------------------------------(1)

where r is the radius

The value of the diameter = 32 m   and  radius is given to be 4(x+2)

substitute the above into equation (1)   and then solve for x

32  =  2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8  = 8x/8

2 = x

x = 2

Therefore, the value of x is 2

Answer:

19

Step-by-step explanation:

you divide 266 by 14

Answer:

19

Step-by-step explanation:

266 ÷ 14 = 19

Answer:

you never showed the graph so if this is it the answer is ao

Step-by-step explanation:

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

Answer:

please don't be stressed :)

2. c

Step-by-step explanation:

2. if 1,000 is one kilogram then 1,412 = 1.412.

sorry i could only answer 1 but hope this helps

Answer:

The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/

Step-by-step explanation:

Answer:

6x^2 im pretty sure thats whats its asking for

Step-by-step explanation:

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

[tex]x = \frac{32}{2}[/tex]

x = 16°

The value of x is 16°

Answer: The answer is 9

Step-by-step explanation:

It is 9 because 3x3x3x3 is basically 9x9 and 9x9 is 81, so 81 is the numerator. Then we gat to the denominator, which is 3x3 and 3x3 is 9. So the new fraction you get is 81/9, which is basically 81 divided by 9. 81 divided by 9 is 9.

Answer:

9

Step-by-step explanation:

Subtract 2 from the 4 exponents on the numeral, then multiply that exponent, which would be 3×3=9 .

Answer:

24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.

Step-by-step explanation:

Answer:

4 feet by 3 feet

Step-by-step explanation:

I hope this helped you out

Answer:

I had the same question just without the why or why not, But it will always be true :)

Step-by-step explanation:

Hope It Helps :)

Answer:

C

Step-by-step explanation:

Answer:

B.

Step-by-step explanation: