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2 years ago

Find the slope of the line. 3x-10y=20

Mathematics

1 answer:

Nady [450]2 years ago

7 0

Answer:

slope is -3/10

Step-by-step explanation:

-10y=-3x+20

y= -3/10x+,20

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If 4, 6 and 8 and 14, 21, and x are the lengths of the corresponding sides of two similar triangles, what is the value of x

Rashid [163]

When you add all the numbers up and then divide by two you get the answer

5 0

2 years ago

12 Using side lengths only, could the triangles be similar? 0.5 m05 1 1.5

Murljashka [212]

Answer:

$\large\boxed{\text{No.}\ \dfrac{0.5}{1}\neq\dfrac{1}{1.5}\neq\dfrac{1.5}{2}}$

Step-by-step explanation:

$\text{Let}\\ a,\ b,\ c\ -\ \text{sides of a triangle ABC, where}\ a\leq b\leq c\\d,\ e,\ f\ -\ \text{sides of a triangle}\ DE F,\ \text{where}\ d\leq e\leq f.\\\\\triangle ABC\sim\triangle DE F\iff\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}\\\\/\text{corresponding sides are in proportion}/$

$\bold{WARNING !!!}\\\\\text{No triangle like QRS exists!}\\\\1 + 0.5 = 1.5 !!!\\\\\text{The sum of the lengths of the two shorter sides of the triangle}\\\text{must be greater than the length of the longest side.}$

$\text{Despite this, let's check the ratios}$

$\text{We have:}\\\\\triangle XYZ\to a=1,\ b=1.5,\ c=2\\\triangle QRS\to d=0.5,\ e=1,\ f=1.5$

$\text{Check:}\\\\\dfrac{d}{a}=\dfrac{0.5}{1}=0.5\\\\\dfrac{e}{b}=\dfrac{1}{1.5}=\dfrac{10}{15}=\dfrac{2}{3}\\\\\dfrac{f}{c}=\dfrac{1.5}{2}=\dfrac{15}{20}=\dfrac{3}{4}\\\\\dfrac{d}{a}\neq\dfrac{e}{b}\neq\dfrac{f}{c}\neq\dfrac{d}{a}$

8 0

2 years ago

Solve the system by substitution. y=6x y=3x+21 ( , )

Dimas [21]

Answer:

(7,42)

Step-by-step explanation:

Imput the 6x for the Y:

6x=3x+21

move the variable to the left

6x-3x=21

collect like terms:

3x=21

divide both sides by 3x and youll get this for X

x=7

Imput x=7 into the equation

Y=6x7

solve:

y=42

6 0

2 years ago

Which equations represent the asymptotes of the hyperbola?

makvit [3.9K]

Answer:

see below

Step-by-step explanation:

The equation of the hyperbola can be written as ...

((x -h)/a)² -((y -k)/b)² = 1

This has asymptotes ...

(x -h)/a ± (y -k)/b = 0

Solving for y, we have ...

y = ±(b/a)(x -h) +k

Filling in the given values a=6, b=8, h=1, k=2, we have ...

y = ±8/6(x -1) +2

$y=\dfrac{\pm4x\mp4+6}{3}\\\\\boxed{y=\dfrac{4x+2}{3}\ \text{and }y=\dfrac{10-4x}{3}}$

4 0

3 years ago

Help please! I’m confused!

Ivan

Answer:

1936

Step-by-step explanation:

x² + 87 = (x +1)²

x² + 1)² - x² =87

(x² + 2x +1) = 87

2x + 1 = 87 ⇒ x = 44

44² = 1936

8 0

3 years ago

Find the slope of the line. 3x-10y=20​

Find the slope of the line. 3x-10y=20