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3 years ago

(URGENT)Find the equation of the normal line to the curve below at the point (1, -2) in point slope form.

Mathematics

1 answer:

Rus_ich [418]3 years ago

4 0

Answer:

Xmin:

-10

Xmax:

Ymin:

-10

Ymax

Step-by-step explanation:

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One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second

Alex_Xolod [135]

Answer:

Define your variable and write your equation: 36 + b + (3b-28) = 180°.
measure of the second angle: 43°.
measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1) 36 + b + (3b-28) = 180 ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2) b = 43° ⇒ measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101° ⇒ measure of the third angle

Check:

36° + 43° + 101° = 180°

8 0

3 years ago

8. The expression below is evaluated when x = 9, y = 3,

Reptile [31]

Answer:

Step-by-step explanation:

First of all substitute the values to where ever you see their corresponding variables to make them multiply.

x = 9

y = 3

z = 2

so we get

8x as 8(9),

7z as 7(2)

2y as 2(3)

then the it's will be

8(9) - 7(2) + 2(3)

which is

72 - 14 + 6

finally we get

4 0

2 years ago

If f(x)=8-3|x+2|, find f(-6)

Dahasolnce [82]

To find f(-6), simply plug -6 in for x in the equation.
$f(x)=8-3|x+2|$
$f(-6)=8-3|-6+2|$
$f(-6)=8-3|-4|$
$f(-6)=8-3*4$
$f(-6)=-4$

Hope that helps!

5 0

3 years ago

Read 2 more answers

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

3 years ago

?<br> Which is the simplified form of n -6p3?

prohojiy [21]

<u>OPTION C</u>

if any doubt leave a comment

6 0

2 years ago

Read 2 more answers