Convert − 6 7to a decimal. Go out 3 decimal places and round as appropriate.

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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Answer:

If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.

Step-by-step explanation:

Let [tex]C(x,y) =(-2,12)[/tex] and [tex]D(x,y) =(4,6)[/tex], from Analytical Geometry and Linear Algebra we have that midpoint of CD is determined by:

[tex]M(x,y) = \frac{1}{2}\cdot C(x,y)+\frac{1}{2}\cdot D(x,y)[/tex] (Eq. 1)

[tex]M(x,y) = \frac{1}{2}\cdot (-2,12)+\frac{1}{2}\cdot (4,6)[/tex]

[tex]M(x,y) = (-1,6)+(2,3)[/tex]

[tex]M(x,y) =(-1+2,6+3)[/tex]

[tex]M(x,y)= (1,9)[/tex]

If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

Answer:

yes because it can be written as 23/100

Step-by-step explanation:

I did this before and I have gotten it correct.

Answer:

0.36

miles per minute

ithink

Answer:

about eleven minutes

Step-by-step explanation:

18      9

__ = ___

50     25

__ = ___

25      ?

9x = 4(25)

9x = 100

9x = 100

__  _____

9       9

x = 11.1...≈ 11

Answer:

No

Step-by-step explanation:

There can not be x and y both attached to one coefficient.

Answer:

No

Step-by-step explanation:

Its not linear because the equation has "3xy" in it.

Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula is F(d) = 100+0.10d.

We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:

400=100+3000(x)

Subtract 100 from each side:

400-100 = 100+3000x-100

300 = 3000x

Divide both sides by 3000:

300/3000 = 3000x/3000

0.10 = x

This is the cost per meter.  Using this, we have the formula

F(d) = 100+0.10(d)

Answer:

Step-by-step explanation:

Considering all the given and the vertical distance of 3000 m we get below equation

Solving, we find the fee for each meter:

So the equation for total fee including climbing x meters is:

Answer:

second A

Step-by-step explanation:

They are alternate interior angles

Answer:

y=2x+2

Step-by-step explanation:

The * stands for multiplication.

0*2+2=2

3*2+2=8

6*2+2=14

All of these statements are true, so this should be the correct answer.

Answer:

See Explanation

Step-by-step explanation:

[tex] m\angle ADB = m\angle CDB... (given) \\\\

\therefore m\angle ADM = m\angle CDM... (1)\\

(\because D-M-B) \\\\

In\: \triangle 's ADM \: \&\: CDM\\\\

\overline{AD} \cong\overline {CD} ... (given) \\\\

m\angle ADM = m\angle CDM.(From \:1)\\\\

\overline{DM} \cong\overline{DM} ... (given) \\\\

\therefore \triangle ADM \: \cong\: \triangle CDM\\.. (By \: SAS\: postulate) \\\\

\therefore \overline{AM} \cong\overline{CM}..(2)\\(by\: c. s. c. t.) \\\\

m\angle AMD = m\angle CMD..(3)\\(by\: c. a. c. t.)\\\\

\because m\angle AMD + m\angle CMD= 180\degree ..(4)\\

(Linear\: pair\: \angle 's)\\\\

\therefore m\angle AMD + m\angle AMD= 180\degree \\..(From \: 3 \: \& \: 4)\\\\

\therefore 2m\angle AMD = 180\degree\\\\

\therefore m\angle AMD = \frac{180\degree}{2}\\\\

\therefore m\angle AMD =90\degree \\\\

\red{\implies \overline{MD} \perp\overline{AM}} \\\\

\implies m\angle AMB=m\angle CMB= m\angle CMD = 90\degree.. (5)\\\\

In\: \triangle 's ABM \: \&\: CBM\\\\

\overline{AM} \cong\overline{CM}\\.(From \: 2)\\\\

m\angle AMB=m\angle CMB\\..(each\: 90\degree) \\\\

\overline{BM} \cong\overline{BM} ... (common) \\\\

\therefore \triangle ABM \: \cong\: \triangle CBM\\.. (By \: SAS\: postulate) \\\\

\therefore m\angle BAM = m\angle BCM\\(by\: cact) \\\\

\purple {\implies m\angle BAC = m\angle BCA} \\(\because A-M-C) [/tex]

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

Answer:

Serena earns $7.50 per hour more than Gabe

Step-by-step explanation:

Given

Serena:

[tex]m = 21h[/tex]

Gabe

Earnings: $13.50 per hour  ----- Missing Part of equation

Required

How much more does Serena earn per hour

For Serena

[tex]m = 21h[/tex] implies that She earns $21 per hour

So, to determine how much more She earns, we simply calculate the difference.

[tex]Difference = \$21 - \$13.50[/tex] (per hour)

[tex]Difference = \$7.50[/tex] (per hour)

The difference implies that Serena earns $7.50 per hour more than Gabe

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

Answer:

5:7

Step-by-step explanation:

A pet store has two types of betta fish which is red and blue

She noticed that 7 out of the 12 beta fishes are red

This means that there are 7 red beta fishes and 5 blue betta fishes

Therefore the ratio of blue betta fish to red betta fish is

= 5:7

-7/3

Step-by-step explanation: is the answer for odyssey ware

Answer: x=10 y=5 = 15xy

Step-by-step explanation:

Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

Answer:

the value of y = 5

Step-by-step explanation:

The value of the variable 'x' will be 8.5. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.

The side AB is equal to DE. Then we have

DE = AB

2x - 1 = 16

2x = 16 + 1

2x = 17

x = 17/2

x = 8.5

The value of the variable 'x' will be 8.5. Then the correct option is D.

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Answer:

36 movies.

Step-by-step explanation:

45

+

2.50

x

=

3.75

x

Here

x

=

NUMBER OF MOVIES

45

=

Annual rate

2.50

=

price of movie with annual fee

3.75

=

price of movie with no fee

Now we solve for

x

. Move

x

to one side by subtracting

2.50

x

on each side

45

=

1.25

x

We want

x

by itself, so divide

45

by each side.

45

1.25

=

x

x

=

36

The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

Let x represent the number of movies watched per month.

Plan A  costs $31 per month plus $1.50 per movie watched, hence:

A = 1.5x + 31

Plan B costs $35 per month plus  $0.50 per movie watched, hence:

B = 0.5x + 35

For plan A to be cheaper than plan B:

1.5x + 31 < 0.5x + 35

x < 4

But the number of movies watched must be greater than 0, hence:

0 < x < 4

Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

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The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

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Answer:

corresponding angles

Alternate angle

cointerior angle

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Luis' speed in miles per hour is 136.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

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