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3 years ago

Given ADEF: ARST, find the scale factor

Mathematics

2 answers:

Deffense [45]3 years ago

4 0

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

andriy [413]3 years ago

4 0

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

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Is x-5 a factor of p(x)=x^3-6x^2-x+30

Arada [10]

Answer:

yes

Step-by-step explanation:

Dividing : x3-6x2-x+30

("Dividend")

By : x-5 ("Divisor")

dividend x3 - 6x2 - x + 30

- divisor * x2 x3 - 5x2

remainder - x2 - x + 30

- divisor * -x1 - x2 + 5x

remainder - 6x + 30

- divisor * -6x0 - 6x + 30

remainder 0

Quotient : x2-x-6 Remainder: 0

3 0

3 years ago

Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?

Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

$p(x) = {x}^{3} + 2 {x}^{2} - 3x - 4$

is divided by x+1, then the remainder is given by

$p( - 1)$

We substitute x=-1 into the function to obtain,

$p( - 1) = {( - 1)}^{3} + 2 { ( - 1)}^{2} - 3( - 1) - 4$

We simplify to get:

$p( - 1) = - 1+ 2 (1) + 3 - 4$

$p( - 1) = 4- 4$

$p( - 1) = 0$

Katnis is right because the remainder is zero

3 0

4 years ago

The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartil

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

87 - 80 = 7

7 0

3 years ago

1-4y^2 in factored form

Anastasy [175]

Answer:

(1 -2y)(1 +2y)

Step-by-step explanation:

The difference of squares is factored as ...

... a² - b² = (a -b)(a +b) . . . . . . . . a form you should keep handy

Here, you have a=1, b=2y, so your factored form is ...

... 1 -4y² = (1 -2y)(1 +2y)

8 0

3 years ago

Solve the equation (0°≤A≤360°)<br>a) √3sinA-cosA=√2

Blizzard [7]

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

6 0

3 years ago