Solve for x in the triangle. Round your answer to the nearest tenth.

Answer:

y = -3/2x  - 15

Step-by-step explanation:

Use the slope intercept form  y = mx + b to substitute the slope = -3/2 and the point (-8, -3).

y = mx + b

-3 = -3/2(-8) + b

-3 = 12 + b

-15 = b

y = -3/2x - 15

[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

To Find :

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Answer:

5:1

Step-by-step explanation:

Answer:

y=-2x-4

Step-by-step explanation:

Step-by-step explanation:

5pounds=9 jars

? =24 jars

Then you cross multiply /work it out as

And your final answer will be

13 1/3 pounds

Answer:

8x/3+6 is equivalent and simplified

Answer:

1712 square meters

Step-by-step explanation:

2000 - 288 = 1712

Step-by-step explanation:

the answer 0 I think that's it

Answer:

  2

Step-by-step explanation:

The slope of the line represented by the table is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(3 -(-1)) = -12/4 = -3

The y-intercept of that line is ...

  b = y -mx

  b = 8 -(-3)(1) = 5

Then the slope-intercept equation of the line represented by the table is ...

  y = mx +b

  y = -3x +5

Substituting that into the equation for the given line, we have ...

  2x +4(-3x+5) = 0

  2x -12x +20 = 0

  20 = 10x . . . . . . . . add 10x and simplify

  2 = x . . . . . . . . . . divide by 2

The x-value of the solution to the system of equations is x = 2.

Answer:

2

Step-by-step explanation:

Basically I use rise over run, or rise ÷ run.

The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.

Answer:

LOL the struggle is real

Answer:

The answer is 9 ( C on edge)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

C on edge

I took the test

Let  be the number of pennies,  be the number of nickels, and  be the number of dimes that Vern has. The given ratios tell us that  and  Therefore,  so we haveTo turn this into a ratio of integers, we multiply every part of the ratio by  Doing this, we see that Therefore, we can think of Vern's collection as consisting of several groups, each of which contains  pennies,  nickels, and  dimes. Let  be the number of such groups of coins that Vern has. Then Vern has  pennies,  nickels, and  dimes. Since a penny is worth  cent, a nickel is worth  cents, and a dime is worth  cents, the total worth of Vern's coins in cents is  However, we know Vern has  or  cents, so we can write an equation:Simplifying the left-hand side, we get  Dividing both sides by  we get  This tells us that Vern has  groups of  coins, for a total of  coins.

328

Answer:

2

Step-by-step explanation:

take the 3 put on the side

Answer:

96$/12×100

=8 × 100

=800$

Answer:

After the raise, I believe she is now getting paid 107.52$ per hour,

Step-by-step explanation:

12% of 96$ is 11.52$

11.52$ + 96$ = 107.52$

I am not sure if all calculations are correct, but I hope this helps! :)

Answer:

y+7=-3/4(x-16)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=-3/4(x-16)

y+7=-3/4(x-16)

Please mark me as Brainliest if you're satisfied with the answer.

80 coins

.15x=12

divide both sides by .15

x= 80

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

[tex]Height = 24\ in[/tex]

[tex]Width = 28\ in[/tex]

From the center of the mirror to the floor of the wall, the distance is:

[tex]Distance =5\frac14\ ft[/tex]

So, the distance to the top of the mirror will be:

[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]

Substitute 24 for height

[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]

[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]

Convert feet to inches

[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]

[tex]Top = 63\ in+ 12 \ in[/tex]

[tex]Top = 75 \ in[/tex]

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

[tex]Distance = 8\ ft - 75\ in[/tex]

Convert feet to inches

[tex]Distance = 8\times 12\ in - 75\ in[/tex]

[tex]Distance = 96\ in - 75\ in[/tex]

[tex]Distance = 21\ in[/tex]

Hence, the distance is 21 inches

Read more about lengths at:

https://brainly.com/question/10545161

Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

angle KJL and LJK

is the answer i think

ummmmmmmm a lot and alot

Answer:

C

Step-by-step explanation: looks right

dont  trust it though

Answer:

i) 0.1056

ii) 0.105

iii) 0.1

iv) 0.1056

Step-by-step explanation:

0.36, to the power of 2 (0.36×0.36) is 0.1296

0.1296-0.03×0.8=0.1056

Answer:

A) 32

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

It has to be 4 parts because it will to uneven if you cut diagonally.

Answer:

B

--------

Because:-

5, 12, 13 is a Pythagorean triple

3, 4, 5 is a Pythagorean triple

9, 12, 15 is a Pythagorean triple

7, 8, 9 is not a Pythagorean triple

use this rule:-

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

Answer:

Step-by-step explanation:

The prime factor representation of 150 is 2 x 3 x 5^2

Answer:

b = 115.4 feet

Step-by-step explanation:

b^2 = a^2 + c^2 - 2 (a)(b) x cos B

b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)

b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)

b^2 = 182,500 - 165,600 x cos(38 degrees)

b = [tex]\sqrt{(16,900)(cos(38)) }[/tex]

b = 115.4 feet

i hope this helps!! :)

Answer:

115.4 ft

Step-by-step explanation:

Step-by-step explanation:

The first inequality has solution

 4p > -8 . . . . . . subtract 1

 p > -2 . . . . . . . divide by 4

This is graphed as an open dot at -2, with shading to the right.

Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:

 a number line with open circles at negative 2 and 5 with shading in between

hope that help mark me brinilylist