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3 years ago

Pleas help me for 90 points

Mathematics

2 answers:

GaryK [48]3 years ago

8 0

Answer:

140 in²

Answer as a decimal rounded to the nearest hundredth = 140.00 in²

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Given:

base = 20 in
height = 14 in

Substituting the given values into the formula:

⇒ Area = 1/2 × 20 × 14

= 140 in²

Answer as a decimal rounded to the nearest hundredth = 140.00 in²

BARSIC [14]3 years ago

4 0

Answer:

140 square inches

Step-by-step explanation:

Formula to find the area of a triangle is A = 1/2 × b × h.

So plug in the numbers

A= 1/2 x 20 x 14

A= 20 x 14 / 2

A = 280/ 2

A(Area) is equal to 140 square inches

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What is the slope of the line that passes through the points (6,4) and (-3,-7)

ANEK [815]

Answer:

m = 11/9

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (-7 - 4) / (-3 - 6)

= -11/-9

= 11/9

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3 years ago

If DE=6x what is the perimeter of the triangle in terms of x? A 6 B 18 C 18x

tatyana61 [14]

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3 years ago

Which of the following is a polynomial with rootsnegative square root of 5, square root of 5, and 3

Scrat [10]

Answer:

P(x) = x³ - 3x² - 5x + 15

Step-by-step explanation:

∵ The roots of the polynomial are -√5 , √5 , 3

∴ The polynomial has 3 factors:

(x - √5) , (x + √5) , (x - 3)

∴ P(x) = (x - √5)(x + √5)(x - 3)

= (x² + √5x - √5x - 5)(x - 3)

= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15

∴ P(x) = x³ - 3x² - 5x + 15

3 0

3 years ago

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

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3 years ago

Write x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers

Marrrta [24]

X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4, (-4)^2 = 16, add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3

3 0

4 years ago