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2 years ago

Help please!!!!

Mathematics

1 answer:

Mrac [35]2 years ago

5 0

Answer:

a = 2

b = 18

a/b = 1/9

Step-by-step explanation:

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A) Find the slope, x-intercept, y-intercept of the line (L):

Black_prince [1.1K]

Answer: 2, 1.5 , -0.75

(b) $4x-3y-10=0$

Step-by-step explanation:

Given

line is $3x+4y-6=0$

Converting it into intercept form

$\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1$

So, the x-intercept is $2$ and y-intercept is $1.5$

The slope is given by

$-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75$

(b) the line perpendicular to the above line and passing through $(1,-2)$

The slope of the required line

$m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}$

Equation of the line is given by

$\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0$

3 0

2 years ago

What is the simplest form of this expression? (x + 7)(3x − 8) A. 3x2 + 2x − 15 B. 3x2 + 29x − 1 C. 3x2 − 29x − 56 D. 3x2 + 13x –

Lorico [155]

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▹ Answer

D. 3x² + 13x - 56

▹ Step-by-Step Explanation

(x + 7)(3x - 8) (Using FOIL method)

x * 3x - 8x + 7 * 3x - 7 * 8

3x² - 8x + 7 * 3x - 7 * 8

3x² - 8x + 21x - 56

3x² + 13x - 56

Hope this helps!

- CloutAnswers ❁

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