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1 year ago

13

The ____ is the horizontal distance between two points.

1 answer:

timama [110]1 year ago

6 0

The length of line segment is the horizontal distance between two points

Suppose

a line has endpoints

(x-1,y1)
(x2,Y2)

The length of the line is

√(x_1-x_2)²+(y_1-y_2)²

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

Sati [7]

Answer:

$x = 2-t$ and $y = -5\cdot t +21$

Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

1) $t = 2-x$ Given

2) $y = 5\cdot x +11$ Given

3) $y = 5\cdot (x\cdot 1)+11$ Associative and modulative properties

4) $y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11$ Existence of multiplicative inverse/Commutative property

5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

6) $y = -5\cdot (-x)+11$ $\frac{a}{-b} = -\frac{a}{b}$ / $(-1)\cdot a = -a$

7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

11) $y = (-5)\cdot (2-x) +21$ $(-a)\cdot (-b) = a\cdot b$

12) $y = (-5)\cdot t +21$ By 1)

13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

14) $t+x = (2-x)+x$ Compatibility with addition

15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

5 0

2 years ago

Graph y = 2x-7 plot it !

lord [1]

Answer:just start at 7 and go out 2 up 1

Step-by-step explanation:

Edit:sorry ment -7

4 0

2 years ago

A quadratic equation function f(x)=ax^2 passes through (0,0) and (5,5). write an equation for this function

Alex

Equation: f(x)=(1/5)x^2 or f(x)=(0.2)x^2

Check:
f(0)=(1/5)(0)^2
f(0)=(1/5)(0)
f(0)=0✓
f(5)=(1/5)(5)^2
f(5)=(1/5)(25)
f(5)=5✓

6 0

3 years ago

What value of x is in the solution set of -2(3x + 2) > -8x + 6?

n200080 [17]

Answer:

x > 5

Step-by-step explanation:

Given that:

= -2(3x + 2) > -8x + 6

(negative sign before bracket will alter the internal signs when multiplied by each term)

= -6x - 4 > -8x +6

Taking x terms on left side and other constants on right side

= -6x + 8x > 6 +4

Signs will be changer for transferred terms

= 2x > 10

By Dividing both sides 2 we get

=x > 10/2

= x >5

5 0

2 years ago

Need help with this please

KonstantinChe [14]

Answer:

72 cent

Step-by-step explanation:

7 0

2 years ago