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3 years ago

A)Solve 3x-4=17 b)Solve x/4 - 1 = 4 c)Solve x/2 + 8 = 23

Mathematics

2 answers:

alekssr [168]3 years ago

6 0

Answer:

a). 7

Step-by-step explanation:

3x-4=17

3x-4+4=17+4

3x=21

3x/3=21/3

x=7

Anarel [89]3 years ago

4 0

Answer:

a)7

b) 20

c) 30

Step-by-step explanation:

a) 17 + 4 = 21

21 ÷ 3 = 7

b) 4 + 1 = 5

5 × 4 = 20

c) 23 - 8 = 15

15 × 2 = 30

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BabaBlast [244]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Please help i beg i never get these right

Anuta_ua [19.1K]

Answer:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

Step-by-step explanation:

Given

$\sin(105^o)$

Required

Solve

Using sine rule, we have:

$\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)$

This gives:

$\sin(105^o) = \sin(60 + 45)$

So, we have:

$\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)$

In radical forms, we have:

$\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}$

$\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}$

Take LCM

$\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}$

Rewrite as:

$\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}$

Hence:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

3 0

3 years ago

Can you please answer this question

Nat2105 [25]

Answer:

1. b

2. a

3. d

4. c

Step-by-step explanation:

3 0

3 years ago

What is the y value of the vertex 4x^2+8x-8

Oksana_A [137]

Answer:

The y-value of the vertex is $-12$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$f(x)=4x^{2}+8x-8$ -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+8=4x^{2}+8x$

Factor the leading coefficient

$f(x)+8=4(x^{2}+2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+8+4=4(x^{2}+2x+1)$

$f(x)+12=4(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)+12=4(x+1)^{2}$

$f(x)=4(x+1)^{2}-12$

The vertex is the point $(-1,-12)$

The y-value of the vertex is $-12$

5 0

3 years ago

Read 2 more answers

The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 14 ft2 . find the dimensions of th

omeli [17]

Given: A= 14 ft² and l= 2w-3
formula for area of a rectangle is A=lw
substitute for what you know and simplify:
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft

5 0

4 years ago