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2 years ago

What is the slope intercept form of (-1,-1) and (-4,-1)

Mathematics

1 answer:

liubo4ka [24]2 years ago

8 0

Answer:

y=-1

Step-by-step explanation:

use point slope formula y-y₁=m(x-x₁)

find m which is slope -1--1/-4--1= 0/-3= 0

plug in the equation and use the first point

y--1=0(x--1)

y=-1

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Find the solution(s) of the system of equations:

murzikaleks [220]

The solutions are (0, - 6) ,(7, 8)

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - (1)

y = 2x - 6- - - - - - - - - - - (2)

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

For more information about quadratic equations, visit brainly.com/question/1214333

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7 0

1 year ago

An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

2 years ago

Sean is choosing what size gloves to order from an online store. He estimates that his hand is 20 centimeters long. When he meas

SCORPION-xisa [38]

Answer:

10%

Step-by-step explanation:

Sean first thought that his hand was 20 cm so:

20cm

When he measures with a ruler, he gets 18 cm so:

18cm

The equation is really simple, and you basically do:

20/20 - 18/20 = 2/20 = 1/10 = 10%

The equation is:

1- x/y

x equals the new number

y equals the original number

4 0

2 years ago

What is the centimeters?

S_A_V [24]

The answer is 11.6 centimeters.

3 0

2 years ago

Simplify (b^4)^3. ❤️ SLAT*_^}

KiRa [710]

Answer:

$b^1^2$

Step-by-step explanation:

First, multiply by exponent rule.

$(x^y)^z=x^y^z$

$b^4^*^3$

Then, multiply by the numbers from left to right.

$4*3=12$

$b^1^2$ , is the correct answer. 

6 0

3 years ago

Read 2 more answers