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V125BC [204]
2 years ago
9

Write an equation in standard form given: m= -3/4 and b=5.

Mathematics
1 answer:
Dmitry [639]2 years ago
5 0

Answer:

3x+4y=20

Step-by-step explanation:

The slope-intercept equation would be:

y=mx+b

y=-3/4(x)+5

But standard form is

ax+by=c

We can obtain this by moving the -3/4(x) to the left side

\frac{3x}{4} +y=5

Multiply both sides by 4 to get rid of the fraction

3x+4y=20

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<img src="https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B3%7D%20-%208%20%7Bx%7D%5E%7B2%7D%20%20%2B%2019x%20-%209%29%20%5Cdiv%20%28x%
Anna [14]

(x^3-8x^2+19x-9)\div(x-4)=x^2-4x+3\\\underline{-x^3+4x^2}\\=-4x^2+19x\\\underline{\ \ \ \ \ 4x^2-16x}\\.\ \ \ =3x-9\\\underline{\ \ \ \ \ -3x+12}\\.\ \ \ \ \ =\ 3

x^3-8x^2+19x-9=(x^2-4x+3)(x-4)+3



6 0
3 years ago
A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft.
Leviafan [203]

Answer:

T= 2.35 seconds

Step-by-step explanation:

⇒The question is on the time of flight.

⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the <u>projectile angle</u> and the <u>initial velocity</u> of the projectile

Given;

Initial velocity of ball= 110ft./sec.

The projectile angle= 20°

Acceleration due to gravity, g=32 ft./s²

⇒Formulae for time of fright T= (2×u×sin Ф)/g

Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.

<u>Substituting values</u>

T= (2×u×sin Ф)/g

T=( 2×110×sin 20°) / 32

T= 2.35 seconds

3 0
3 years ago
Read 2 more answers
the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first fi
Natali5045456 [20]

Answer:

\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup  }}

<h3><u>Related</u><u> </u><u>Infor</u><u>mation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

• The sum of n terms of an AP is

\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}

• nth term of an AP is given by ,

\boxed{\blue{\sf T_n = a+(n-1)d }}

8 0
2 years ago
A flat surface of a solid figure
-BARSIC- [3]
<span>A flat surface of a solid figure is called a "face".
Your answer is <em>face.
</em>

</span>
8 0
3 years ago
Read 2 more answers
A model airplane has a scale of 2 in: 9 yards. If the wing span of the model airplane is 18 inches, how many yards is the actual
mote1985 [20]

Answer:

81 yards

Step-by-step explanation:

8 0
3 years ago
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