Write the equation through (2,5) parallel to the line through (8,0) and (0,8)

Answer:

x > -2/3

Step-by-step explanation:

[tex]\frac{x}{2} +\frac{1}{3} > 0[/tex] , subtract 1/3 from both sides

[tex]\frac{x}{2} > \frac{-1}{3}[/tex] , multiply both sides by 2

[tex]x > \frac{-2}{3}[/tex]

Answer: Rational

This is because the number is in the form P/Q where P and Q are integers

We have P = -13 and Q = 12.

You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Decimal form: − 1.08 3

3 repeats itself, so it's rational.

Answer:

-6

Step-by-step explanation:

f(x)= (3- 4)(3+3)

=( -1 )(6)

= -6

Answer:

-3 < x <= 3

Step-by-step explanation:

draw it on a number line to check

Answer:

-3>x[tex]\leq \\[/tex]3

Step-by-step explanation:

> is the greater than

< is the less than

hope this helped have a great day

Answer:

There are 3 possible values for a.

Step-by-step explanation:

a/b=2/3

3a=2b

If b>5 and b<13

apply all possible values

b=6 -> 3a=12 ==> a=4 1st possibility

b=7 -> 3a=14 ==> a=4.something Not a possibility

b=8 -> 3a=16 ==> a=5.something Not a possibility

b=9 -> 3a=18 ==> a=6 2nd possibility

b=10 -> 3a=20 ==> a=6.something Not a possibility

b=11 -> 3a=22 ==> a=7.something Not a possibility

b=12 -> 3a=24 ==> a=8  3rd possibility

Answer:

8 munutes

Step-by-step explanation:

let :

x is the final level for both tanks (in ft) and

t is the time (in minutes)

the equation :

x = 6 - 0.5 t (eq.1)

x = 10 - 1t (eq.2)

eq. 1 = eq. 2

=>

6-0.5t = 10-1t

1t - 0.5t = 10-6

0.5t = 4

t = 4/0.5 = 8

t = 8 minutes

Answer:               8 minutes

Step-by-step explanation:

Write an equation for the level of oil in each tank.

Let t = the number of minutes.

Tank A: y = 6 − 0.5t

Tank B: y = 10 − 1t

Solve the system by using a table of values

When t = 8 minutes, the level in both tanks will be at 2 feet.

Answer:

Step-by-step explanation:

This is classic right triangle trig. If you're solving for x, which you are, you have to consider how the given sides relate to that angle. The side with a length of 50 is opposite the angle x, while the side of length 36 is adjacent to angle x. The trig ratio that utilizes the sides opposite and adjacent is tangent; HOWEVER, we are looking for a missing angle. Finding missing angles on your calculator requires the 2nd button. To find the missing angle x, you are looking for the angle that has a tangent ratio of 50 over 36 (opposite over adjacent...Toa in SohCahToa). Hit the 2nd button on your calculator and then the tangent button (in degree mode, not radian mode) and you will see this on your screen:

[tex]tan^{-1}([/tex]

After the parenthesis, enter the fraction and then hit the enter button to get the angle measure in degrees:

[tex]tan^{-1}(\frac{50}{36})=54.2[/tex] degrees.

It's very important that you learn how to use your calculator to find the trig identities that give you the ratio in decimal form and how to find the missing angles. Missing angles always use the 2nd button along with whatever trig identity you are using.

The volume of a cube is Side ^3

Find the cubic root of the volume to find the side length:

Side = cubicroot(216) = 6 feet.

The area of a face of a cube is s^2

Area of a face = 6^2 = 36 square feet.

Area of 2 faces = 36 x 2 = 72 square feet

Answer: 72 square feet

Answer:

72 ft²

Step-by-step explanation:

To find the length of each side we have to cube root the volume

∛216 = 6

We only have to find the areas for two faces (the top and bottom)

6 x 6 = 36 = area for one face

36 x 2 = 72 = area for two faces

Answer:

8 m

Step-by-step explanation:

Diagonal: Hypotenuse

Let the hypotenuse (diagonal) be c, Stafford street be a, and let Silvergrove Avenue be b.

Formula: a^2 + b^2 = c^2

Lets plug them in!

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2= 100 - 36

b^2 = 64

64 is the exponential value of b, meaning to lower it to its original terms, we apply the opposite of squaring. Which is finding the square root.

[tex]\sqrt{64}[/tex] = 8

Therefore Silvergrove Avenue is 8 m.

Answer:

8

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

c (the hypotenuse, or longest leg) = 10, a or b = 6

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2 = 64

b = 8

Answer:

C. 2(x + 10)(x - 10)

Step-by-step explanation:

[tex]2x^2-200\\2(x^2-100)\\2(x+10)(x-10)[/tex]

Answer:

16

Step-by-step explanation:

[tex] \tan(x) = \frac{13}{46} [/tex]

[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]

Answer: 16x^2 + 24x + 9

Step-by-step explanation:

Simplified version: (4x+3)^2

Answer:

7x and 2x. 3x^2 and -7x^2.

Step-by-step explanation:

7x and 2x both have x. 3x^2 and -7x^2 both have x^2.

Step-by-step explanation:

Part A: Linear Equation.

We can find the slope

[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]

So our equation is

[tex]y = - 10x + 15[/tex]

Part B: Exponential Equation

We know that

[tex]15 = a \times b {}^{0} [/tex]

B to the zero power is 1 so

[tex]15 = a[/tex]

This means a =15. Now let find b.

[tex]5 = 15 \times b {}^{1} [/tex]

[tex] \frac{1}{3} = b[/tex]

So the equation is

[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]

Answer:

(7;2)

Step-by-step explanation:

[tex]3x - 2y = 17 \\ - 2y = 17 - 3x \\ 2x + 17 - 3x = 10 \\ 2x - 3x = 10 - 17 \\ - x = - 7 \\ x = 7 \\ - 2y = 17 - 21 \\ - 2y = - 4 \\ y = 2[/tex]

Answer:

Linear systems are systems of equations in which the variables are never multiplied with each other but only with constants and then summed up

Answer:

Not similar.

Step-by-step explanation:

The answer is D.

Answer:

A

Step-by-step explanation:

4(1)+4(9x)=4+36x

Answer:

9(1 +6)

Step-by-step explanation:

9 = 9 * 1

54 = 9 * 6

9 + 54 = (9*1 ) + (9*6)      {9 is common in both terms}

           = 9*(1 + 6)

Answer: 62

Step-by-step explanation:

[tex]\displaystyle\bf 9x^2-4x-7 =0 \\\\ Synthetic \ \ division\ \ if \ \ x-3 =0 => x=3 \\\\ then \ \ 3| \underline{ \ 9 \ | \ -4 \ | \ -7 \ | } \\\\ . \!\! \qquad\qquad +|3*9| \ \ 23*3 | \\ .\!\!\!\!\!\1 \qquad \qquad \qquad | \ 23 \ | \ \ \ \boxed{62}[/tex]

Answer:

y = 4.8(x) + 0

Step-by-step explanation:

In this question, Javier managed to print 240 brochures in 50minutes from 8:00 to 8:50. If we divide these values we see that he printed 4.8 brochures per minute. The same result is given for the 10 minutes from 8:50 to 9:00 where he printed 48 brochures. Therefore, we can get the following linear formula from these values.

y = 4.8(x) + 0

In this case, b would equal 0 because Javier is starting from 0 brochures made when he gets to work at 8:00 a.m

Answer:

25

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Acute isosceles: angle less than 90, 2 equal sides

Right scalene: right angle, different side lengths

RIght isosceles: right angle, 2 equal sides

Acute scalene: angle less than 90, different side lengths

Answer:

12

Step-by-step explanation:

We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.

As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:

[tex]\frac{x}{15} =\frac{32}{40} =\frac{32}{40} \\\\\frac{x}{15} =\frac{32}{40} \\\\x=\frac{32*15}{40} \\\\x=12[/tex]

Answer:

-2, 6, 20 ,...

Step-by-step explanation:

3n² +5n -2

if n=0 , then 3*0² +5*0 -2= -2

if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6

if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20

Step-by-step explanation:

Explanation is in the attachment

Hope my answer is helpful to you ✌️❣️☪️❇️❇️☪️❣️✌️

Answer:

f(x) = |x|

g(x) = |x| - 2

h(x) = |x| + 3

Answer:

CORRECT

Step-by-step explanation:

Answer:

125g:1Kg

=> 125g : 1000g

Answer:

1:8

Step-by-step explanation:

125 g:1 kg

125g:1000 g

1 g:8 g

Keep smiling and hope u will be satisfied with my answer.Have a good day :)