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3 years ago

If p+q has a value of 12/5, and has a value of 4/5, what is the value of q? A. 5/8 B. 8/5 C. 1/3 D. 3/2 step-by-step

Mathematics

1 answer:

Maurinko [17]3 years ago

8 0

Answer:

Option B

Step-by-step explanation:

It's given that p + q has a value of $\frac{12}{5}$

So the equation representing the relation will be,

p + q = $\frac{12}{5}$ --------(1)

Value of p is $\frac{4}{5}$

p = $\frac{4}{5}$

By substituting the value of p in the equation (1),

$\frac{4}{5}+q=\frac{12}{5}$

q = $\frac{12}{5}-\frac{4}{5}$

q = $\frac{8}{5}$

Therefore, Option B will be the correct option.

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2 years ago

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miskamm [114]

The equation of the circle would be (x - 1)² + (y - 3)² = 65.

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The equation of a circle with center (h,k) and radius, r in center radius form is given;

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The coordinates of the center of the circle can be calculated by the formula

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The point (x₁,y₁) = (9, 2) and (x₂,y₂) = (-7, 4).

So, ((9 -7)/2, (4 + 2)/2) = (1, 3).

Now, r² = (x₂ - x₁)² + (y₂ - y₁)².

Let (x₁, y₁) = (1, 3) and (x₂, y₂) = (-7, 4).

So, r² = (-7 -1)² + (4 - 3)²

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1 year ago

sketch the curve represented by the parametric equations (indicate the orientation of the curve), write the corresponding rectan

pychu [463]

Answer:

Reduced equaton is $5x-3y+\frac{28}{3}=0$ .

Step-by-step explanation:

Given parametric equation is,

$x=3t-5$ and $y=5t+1$

Now, $x=3t-5\implies t=\frac{x+5}{3}$ substitute in second equation we get,

$y=\frac{5}{3}(x+5)+1$

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which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

$y=\frac{5}{3}x+\frac{28}{9}$

Of which,

Slope : $\frac{5}{3}$

when,

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$x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8$

$x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6$

$x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2$

ans so on. Thus sketching th curve will look like given,

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2 years ago

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BartSMP [9]

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