Write the slope intercept form of the line below:
Through (-3,1) parallel to y=-4/3x-1
and..
Through (-3,-5) perpendicular to x+2y=-4

Answers

Answer 1

The slope-intercept form of the line through (-3,1) parallel to y=-4/3x-1 is y = (-1/2)x - 2 while through (-3,-5) perpendicular to x+2y=-4 is y = 2x + 1.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

The slope of y = -4/3 x - 1 is -4/3.

Since parallel lines have the same slope thus,

y = (-4/3)x + c

Put (-3,1) into the above equation,

1 = (-4/3)(-3) + c

c = -3

Thus, equation will be y = (-4/3)x - 3

As per the given perpendicular line,

x+2y=-4

y = (-1/2)x - 2

Slope = 2

Put (-3,-5) into the above equation,

-5 = 2(-3) + c

c = 1

Thus, the equation will be y = 2x + 1

Hence "The line through (-3,1) parallel to y=-4/3x-1 has a slope-intercept form of y = (-1/2)x - 2, while the line through (-3,-5) perpendicular to x+2y=-4 has a slope-intercept form of y = 2x + 1".

For more about the linear function,

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Answer:

sum of angles in a triangle is 180

so 70+60+ 8x+2 = 180

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a) 3∕5= 60∕100= 40% (resolvido) b) 11∕4= c) 4∕20= d) 9∕5= e) 10∕200= 5∕100= 5% (resolvido) f) 8∕200= g) 30∕300=

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Answer:

En cada expresión queremos obtener 100 en el denominador.

Notar que en la primer eq. tendríamos:

a) 3/5 = (20/20)*(3/5) = (20*3)/(20*5) = 60/100 = 0.6  (corresponde a 60%)

b) 11/4 = ?

Acá el denominador es 4

tenemos que encontrar un número k tal que:

k*4 = 100

k = 100/4 = 25

Entonces podemos multiplicar denominador y numerador por 25.

11/4 = (25/25)*(11/4) = (25*11)/(25*4) = 275/100 = 2.75 (corresponde a 275%)

c) 4/20

el denominador es 20, entonces tenemos que resolver:

20*k = 100

k = 100/20 = 5

multiplicamos denominador y numerador por 5:

(5/5)*(4/20) = (5*4)/(5*20)  =  20/100 = 0.2  (corresponde al 20%)

d) 9/5

el denominador es 5, entonces debemos resolver:

5*k = 100

k = 100/5 = 20

Debemos multiplicar denominador y numerador por 20

(20/20)*(9/5) = (20*9)/(20*5) = 180/100 = 1.8  (corresponde a 180%)

e) 10/200 = 5/100 = 0.05  (corresponde al 5%)

f) 8/200

Se resuelve de similar forma al de arriba (que ya tenias resuelto).

Aca el denominador eso 200, entonces tenemos que tener:

200*k = 100

k = 100/200 = 1/2

Entonces multiplicamos numerador y denominador por 1/2

(1/2/1/2)*(8/200) = (8*1/2)/(200*1/2) = 4/100 = 0.04 (corresponde al 4%)

g) 30/300

aca el denominador es 300

Entonces:

300*k = 100

k = 100/300 = 1/3

Multiplicamos numerador y denominador por 1/3

(1/3/1/3)*(30/300) = (30*1/3)/(300*1/3) = 10/100 = 0.1  (corresponde al 10%)

I need an answer ASAP!!

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Answer:

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Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

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Answer:

D

Step-by-step explanation:

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180

Step-by-step explanation:

Solve each triangle for the missing values shown. Show all work necessary. Use exact values

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3)

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Now, use Pythagoras theorem to find x

[tex] x^2+y^2=10^2 \\\\ \to x^2+5^2=10^2 \\\\ \to x^2+25=100 \\\\ \to x^2 = 100-25 \\\\ \to x^2= 75 \\\\ \to x= \sqrt{75} \\\\ \bf 5 \sqrt{3} [/tex]

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4)

[tex] Sin 45°= \frac{1}{\sqrt{2}} = \frac{Opposite} {Hypotenuse} =\frac{2 \sqrt{2}} {a} \\\\ a= 2 \sqrt{2} \times \sqrt{2} \\\\ a=4 [/tex]

Now, use Pythagoras theorem to find b

[tex] b^2+(2 \sqrt{2}) ^2=a^2 \\\\ \to b^2+8=4^2 \\\\ \to b^2=16-8 \\\\ \to b^2 = 8\\\\ \to b= \sqrt{8} \\\\ \bf b=2 \sqrt{2} [/tex]

You can solve all of them in a similar way.

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Answers

Answer:

x = 42

Step-by-step explanation:

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-TheUnknownScientist

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?

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Answers

Answer:

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Step-by-step explanation:

From the question we are told that:

Dimension of ABC

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Dimension of FED

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Generally the equation for the similar triangles is mathematically given by

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Therefore solving for E

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[tex]E=\frac{11*231}{110}[/tex]

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Measure of [tex]\triangle ABC[/tex]

[tex]A+B+C=130[/tex]

Measure of [tex]\triangle FED[/tex]

[tex]F+E+D=273[/tex]

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