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2 years ago

10

Convert 3x-4y = 9 to slope intercept form. What are the slope and y - intercept ?

2 answers:

ratelena [41]2 years ago

5 0

Answer:

y=3/4x+9/-4

Step-by-step explanation:

3x-4y=9

-3x. -3x

-4y= -3x+9

-4 -4

y=3/4+9/-4

Alecsey [184]2 years ago

3 0

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

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The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t

never [62]

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

$Q=I^2Rt$

$\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega$

So, the new resistance is 4 ohms.

5 0

2 years ago

Please help me I’ll give u brainliest and if u do thank u

snow_tiger [21]

Answer: 40:27

Step-by-step explanation: 80:54 / 2:2 = 40:27

8 0

3 years ago

Which expression is a difference of squares with a factor of 2x5?

Sedbober [7]

Answer:

${( \sqrt{3.5} })^{2} - {( \sqrt{1.5} )}^{2}$

Step-by-step explanation:

The difference of two squares identity is

${x}^{2} - {y}^{2} = (x - y)(x + y)$

When we let

$\sqrt{3.5}$

and

$\sqrt{1.5}$

, we get:

${( \sqrt{3.5} )}^{2} - {( \sqrt{1.5}) }^{2} = (3.5 - 1.5)(3.5 + 1.5)$

This will simplify to give us the required factors

${( \sqrt{3.5} )}^{2} - {( \sqrt{1.5}) }^{2} =2 \times 5$

7 0

3 years ago

If g(x)=3x-1 and if g(a)=7 what is the value of a?

Ierofanga [76]

Answer:

a = 8/3

Step-by-step explanation:

3a - 1 would equal 7

3a = 7 + 1

3a = 8

a = 8/3

6 0

2 years ago

A certain television is advertised as a 53-inch TV (the diagonal length). If the width of

zhenek [66]

The TV is 45 inches tall.

Step-by-step explanation:

The diagonal length of television = 53 inches

Width of TV = 28 inches

As TV is in rectangular or square shape, a diagonal will form a right triangle

Where,

Diagonal = hypotenuse = c = 53 inches

Width = base = b = 28 inches

Length = perpendicular = a

we will use pythagorean theorem to find the length.

$a^2+b^2=c^2\\a^2+(28)^2=(53)^2\\a^2+784=2809\\a^2=2809-784\\a^2=2025$

Taking square root on both sides

$\sqrt{a^2}=\sqrt{2025}\\a=45$

The TV is 45 inches tall.

Keywords: triangle, square root

Learn more about square root at:

#LearnwithBrainly

6 0

3 years ago