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2 years ago

Can you help me fill in the table using this function rule?

Mathematics

2 answers:

Mrac [35]2 years ago

8 0

Step-by-step explanation:

sub x into y equation...

whatever the previous answer says is correct

OlgaM077 [116]2 years ago

5 0

Answer:

5, 1 , -3 ,-7

Step-by-step explanation:

When x = -1

y = - 4 * (-1) + 1

= 4 + 1

= 5

When x = 0

y = - 4 * 0 + 1

= 0+ 1

= 1

When x = 1

y = - 4 *1 + 1

= - 4 + 1

= - 3

When x = 2

y = -4 * 2 + 1

= - 8 + 1

= - 7

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

If n = 8 and 16 • 2m = 4n – 8, then m = ?

max2010maxim [7]

Answer:

m = 0.75

Step-by-step explanation:

16 x 2m = 4x8 - 8

32m = 24

m = 24/32

5 0

2 years ago

3. For the equation-4y = &r, what is the constant of variation? (1 point) ООО 02

alexandr1967 [171]

Answer:

3).

$- 4y = 8x \\ \frac{y}{x} = \frac{8}{ - 4} \\ \frac{y}{x} = - 2 \\ y = - 2x \\ hence \: constant \: is \: - 2$

4).

$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

If it was by 10, k = 3 by 10

k = 30

5).

$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$

7 0

3 years ago

Sixteen blocks are needed to build a four-step double staircase like

OleMash [197]

16 blocks = 4 steps
x blocks = 50 steps
(16 blocks x 50 steps)/4 steps
= 200 blocks

6 0

2 years ago

The measure of the smaller angle betwwn the hands of a clock at 5:00

GREYUIT [131]

Answer:

The angle between the hands of a clock at 5:00 is 150

Step-by-step explanation:

hope this helped

5 0

3 years ago