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3 years ago

12 = -4(-6x - 3) What does x=

Mathematics

2 answers:

Marina CMI [18]3 years ago

3 0

Answer:

x=0

Step-by-step explanation:

mars1129 [50]3 years ago

3 0

Answer:

x=24

Step-by-step explanation:

12= -4(-6x-3)

12=24x+12

-24x= 12-12

-24x=0

X=24

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A sequence is defined by the recursive function f(n + 1) = –10f(n).

Softa [21]

We are given

$f(n+1)=-10f(n)$

we are given

$f(1)=1$

At n=1:

we can plug n=1 into formula

$f(1+1)=-10f(1)$

$f(2)=-10f(1)$

$f(2)=-10*1$

$f(2)=-10$

At n=2:

we can plug n=2 into formula

$f(2+1)=-10f(2)$

$f(3)=-10f(2)$

$f(3)=-10*-10$

$f(3)=100$ ................Answer

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3 years ago

Read 2 more answers

What is the area of this figure?

Gelneren [198K]

Area of the figure is 102 cm²

Step-by-step explanation:

Step 1: Find the area of the square with side = 6 cm.

Area of the square = (side)² = 6² = 36 cm²

Step 2: Find the area of the trapezoid.

Length of parallel side 1 = 7 cm

Length of parallel side 2 = 21 - 6 = 15 cm

Height = 6 cm

⇒ Area of the trapezoid = 1/2 × (Sum of parallel sides) × height

= 1/2 × (7 + 15) × 6

= 1/2 × 22 × 6 = 66 cm²

Step 3: Find the area of the figure.

Area of the figure = Area of the square + Area of the trapezoid

= 36 + 66 = 102 cm²

6 0

3 years ago

Read 2 more answers

What equals 62? and what factors equal 62

nexus9112 [7]

The only factors that equal 62 are

62 • 1 = 62
and
31 • 2 = 62.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Find the output, h, when the input, x, is -18. h = 17+ = I 6

Sloan [31]

The value of output, h, when the input, x, is -18 for the given equation is 14

<h3>Solving an equation </h3>

From the given question, we are to determine the value of the output, h, when the input x is -18

The given equation written properly is

h = 17 + x/6

Now, to determine the value of output, h, we will put in the value of x into the equation

h= 17 + x/6

The given value of x is -18

Thus, putting the given value of x into the equation, we get

h= 17 + x/6

h= 17 + -18/6

h = 17 + -3

h = 17 - 3

NOTE: + × - = -

h = 14

∴ h is 14 when x is -18

Hence, the value of output, h, when the input, x, is -18 for the given equation is 14

Learn more on Solving an equation here: brainly.com/question/20725347

#SPJ1

5 0

2 years ago

(answer questions about the picture above)

jeka57 [31]

Answer:

Part a) The dilation is a contraction

Part b) The scale factor is 0.75

Part c) $AR=1.1\ cm$

Part d) $TN=4.8\ cm$

Step-by-step explanation:

Part a) Assume ∆TRI was dilated to become the image ∆TAN. Is the dilation an expansion or a contraction?

We have that

The pre-image is the triangle TRI (original figure)

The image is the triangle TAN (dilated figure)

we know that

If the image is smaller than the pre-image then the dilation is a contraction or reduction

If the image is greater than the pre-image then the dilation is a expansion or enlargement

The triangle TAN is smaller than triangle TRI

the image is smaller than the pre-image

therefore

The dilation is a contraction

Part b) What is the scale factor?

we know that

A dilation is a non-rigid transformation that produces similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

triangle TAN ~ triangle TRI

Let

z ----> the scale factor

$z=\frac{AN}{RI}$

AN and RI are corresponding sides

substitute the given values

$z=\frac{6}{8}=0.75$

Part c) Calculate AR. Show your work

Remember that the ratio of its corresponding sides is proportional and is equal to the scale factor

$\frac{TA}{TR}=z$

substitute the given values

$\frac{3.3}{TR}=0.75$

Solve for TR

$TR=3.3/0.75\\TR=4.4\ cm$

Find the length of AR

we know that

$TR=TA+AR$ ----> by segment addition postulate

substitute the given values

$4.4=3.3+AR\\AR=4.4-3.3=1.1\ cm$

Part d) Use the Side-Splitting Theorem to find TN.

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

Applying the Side-Splitting Theorem

$\frac{TN}{NI}=\frac{TA}{AR}$

substitute the given values

$\frac{TN}{1.6}=\frac{3.3}{1.1}$

solve for TN

$TN=1.6(3.3)/1.1\\TN=4.8\ cm$

3 0

3 years ago