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vagabundo [1.1K]
3 years ago
14

What is the equation of the line that passes through the point (-4,1) and has a slope of -3/4

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

y = -3/4x - 2

Step-by-step explanation:

y = -3/4x + b

1 = (-3/4) × -4 + b

1 = 3 + b

-2 = b

b = -2

y = -3/4x -2

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Everett says that 1 and 1/4 equals 4÷5 is he correct? explain.
love history [14]

Answer: no

Step-by-step explanation:

4÷5 equals 0.8

While 1 × 1/4 equals 0.25

8 0
3 years ago
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What is 100 * 100 the anser is 1000
Volgvan

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
3 years ago
Why is a rational number?
klio [65]

Answer:

A rational number is a number that can be express as the ratio of two integers.

Step-by-step explanation:

5 0
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Plz Help Brainliest To First Answer<br><br> In rhombus ABCD , m∠BCE=33∘ .<br><br> What is m∠ABE ?
Tamiku [17]

Answer:

57 deg

Step-by-step explanation:

Rhombus ABCD has diagonals AC and BD which intersect at point E.

The diagonals of a rhombus divide the rhombus into 4 congruent triangles.

If you find the measures of the angles of one of the triangles, then you know the measures of the angles of all 4 triangles.

Also, the diagonals of a rhombus are perpendicular.

Look at triangle BCE.

m<BCE = 33

m<BEC = 90

m<BCE + m<BEC + m<CBE = 180

33 + 90 + m<CBE = 180

m<CBE = 57

<ABE in triangle ABE corresponds to <CBE in triangle BCE.

m<ABE = m<CBE = 57

Answer: 57 deg

4 0
3 years ago
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