Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

the answer I believe will be 25.16

last option is the answer to the question

Answer:

Step-by-step explanation:

Blue triangle

a = 4x + 2

b = 5x - 4

c = 7x + 7

-------------------------------------------------

perimeter = a + b + c

4x + 2 + 5x - 4 + 7x + 7

16x + 5

Blue triangle Perimeter = 16x + 5

--------------------------------------------------

Red triangle

a = x + 3

b = x + 7

c = 2x - 5

perimeter = a + b + c

x + 3 + x + 7 + 2x - 5

4x + 5

Red triangle Perimeter = 4x + 5

-----------------------------------------------------

The difference between

Larger triangle -> Blue

Smaller triangle -> Red

(16x + 5) - (4x + 5) = 12x

------------------------------------------------------

Perimeter when x = 3

Blue triangle Perimeter = 16x + 5

16*3 + 5 = 53

Red triangle Perimeter = 4x + 5

4*3 + 5 = 17

The simplified value of the exponential expression is 2.

Here we need to simplify the expression:

[tex]16^{1/4}[/tex]

First, you need to remember that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then we can just write:

[tex]16^{1/4} = \sqrt[4]{16}[/tex]

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]

So we conclude that the simplified value is 2.

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Answer:

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

First, you need to remember that:

Then we can just write:

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

So we conclude that the simplified value is 2.

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Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

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

Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

Answer:5

Step-by-step explanation:

Answer:

No graph was provided but Ive attached my own

Step-by-step explanation:

f(x) = 3x + 4 → y = mx + b

y - intercept (b) is 4

slope (m) is 3 so the rise / run = 3 / 1

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

where,

Now, let's put in the values ~

[tex]\qquad \sf  \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem:

Hence, the equation is given as follows:

[tex](x - (-1))^2 + (y - 1)^2 = 4^2[/tex]

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

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Answer:

hope this will help you

[tex] \frac{180}{t} = \frac{?}{4} \\ t = 180 \times 4 \\ t = 720[/tex]

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

Answer:

58.5; 300; 196.5

Step-by-step explanation:

Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2

Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2

Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2

Answer:

[tex]x = 0[/tex]

[tex]y = 7[/tex]

The distance between the points (9, –6) and (–4, 7) will be 13√2. Then the correct option is C.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are (9, –6) and (–4, 7). Then the distance will be

D² = (-4 - 9)² + (7 + 6)²

D² = 13² + 13²

D² = 169 + 169

D² = 338

D = √338

D = 13√2

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Answer:

the answer will be (A)

Step-by-step explanation:

i think the closest will be the first option..

(sorry that i made a mistake earlier)

hope it helps .. please mark brainliest ♡

Answer:

the answer is A

Step-by-step explanation:

5 - 9 round up

1 - 4 round down

Answer:

Where is the picture????

Answer:

3rd one

Step-by-step explanation:

Answer:

[tex]y = \frac{5}{4} x + 25[/tex]

Step-by-step explanation:

We were told that the equation of the line we are looking for is perpendicular to

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

We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore

[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]

[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]

[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]

Work Shown:

[tex]-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5[/tex]

In the second to last step, the inequality sign flips because we divided both sides by a negative number.

the following statement is true

e is the Exponential Constant or Euler's Number.

It has a value of 2.718281828...

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

e to the n is given by:

[tex]\huge{e}^{n}= [\sum_{k=0}^{∞} (\frac{{n}^{k}}{k!})][/tex]

Answer:

6.6

Step-by-step explanation:

41.4-15 = 26.4

26.4 divided by 4 equals 6.6

Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:

Average miles per day = (Total miles - Miles already ridden) / Number of days remaining

Given information:

Total miles she wants to ride = 41.4 miles

Miles already ridden = 15 miles

Number of days remaining = 4 days

Now, let's calculate the average miles per day:

Average miles per day = (41.4 - 15) / 4

Average miles per day = 26.4 / 4

Average miles per day = 6.6

So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

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Answer:

The side b is 2√6 unit

Step-by-step explanation:

in right triangle ΔABC,∠C=900,a=5,c=7;c is

the side opposite to the right angle, so it is hypotenuse,

aandb are the adjacent sides of the right angle .

We know in right triangle ΔABC,a²+b²=c²

∴5²+b²=7²or

b²=49−25=24

∴√b²=√24

b=√24

b=2√6

. The side b is 2√6 unit [Ans]

AB = 7 cm

CB = 5 cm

AC = 2√6cm

According to Pythagoras Theorem,

AC²=BC²+AB²

(2√6)²=5²+7²

24=25+49

24=74

Hence, it is not a right-angled triangle ABC.

Answer:

Getting sum 6 when rolling two dice

Answer:

$4,900

Step-by-step explanation:

[tex]\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}[/tex]

This simplifies to 4807.7, which you can round to $4,900.

Answer:

F

Step-by-step explanation:

Evaluating the expression :

4 is clearly a rational number.

Hence, the right option is F.