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3 years ago

How to find point-slope

Mathematics

2 answers:

Flura [38]3 years ago

8 0

Answer:

y-y1 = m(x-x1)

Step-by-step explanation:

Letter m is the slope.

x1, and y1 is a given point.

Alex_Xolod [135]3 years ago

7 0

Answer:

Point Slope form is

y=mx+b

M is always your slope, usually in the form of a fraction, and b is always your y intercept.

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Find the amount of the discount on a $140 bicycle that is on sale for 30% off A.$98.00 B.$32.00 C.$42.00 D.$4.20

Marrrta [24]

140 * 0.30 = 42

the discount would be C. $42.00

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4 years ago

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Solve. 9(4h - 6) = 2( -13 - 2h)

Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h) Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h Add 4h to both sides

+4h +4h

40h - 54 = -26 Add 54 to both sides

+54 +54

40h = 28 Divide both sides by 40

h = 7/10

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3 years ago

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Find the area of the part of the plane 3x 2y z = 6 that lies in the first octant.

gavmur [86]

The area of the part of the plane 3x 2y z = 6 that lies in the first octant is mathematically given as

A=3 √(4) units ^2

<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>

Generally, the equation for is mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

$A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)$

The partial derivatives of a function are f x and f y.

$\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}$

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

$&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\$

$&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}$

In conclusion, the area is

A=3 √4 units ^2

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1 year ago

Michelle bought a new table that cost $350. The sales tax is 7.5%, how much will the tax increase the cost of the table? *

MissTica

Answer:

$26.25

Step-by-step explanation:

multiply 350 by 0.075

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3 years ago

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6

san4es73 [151]

Answer: 5-6i

The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.

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3 years ago

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