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2 years ago

What value of x will make the equation below true? 5x = 12x – 28

Mathematics

2 answers:

anastassius [24]2 years ago

8 0

Answer:

3.4

Step-by-step explanation:

5x=12x-28

28=12x-5x

28=8x

28÷8=3.4

mash [69]2 years ago

5 0

X = 4
First take 12x off both sides, so -7x=-28
The negatives cancel out, so 7x=28
Not find the hcf and divide by that.

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Which equation represents the graphed function?

katrin2010 [14]

Answer:

Step-by-step explanation:

the y- intercept is at -3 so is either

y= x-3 or y=2x -3

the x-intercept is at 2 so when y=0, x must be 2

0= x-3 so x=3

0=2x-3 so 2x=3 and x=3/2

in conclusion none of the equations given are the graphed

FYI the equation for the graphed line is

y= 3/2 x-3

4 0

2 years ago

Read 2 more answers

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Yakvenalex [24]

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

$\tan(a) = \tan(30) = \frac{1}{ \sqrt{3} }$

and we know,

=》

$\tan(a) = \frac{a}{b}$

so, by above values of tan ( a ) we get,

=》

$\frac{a}{b} = \frac{1}{ \sqrt{3} }$

=》

$\frac{a}{12} = \frac{1}{ \sqrt{3} }$

=》

$a = \frac{12}{ \sqrt{3} }$

=》

$a = 4 \sqrt{3}$

=》

$a = 6.93$

hence, a = 6.93 m

4 0

3 years ago

Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many y

stepladder [879]

Speed is given by:
speed=distance/time
given that:
1 mile=1,760 yards
1 hour=60 min
then the speed in yards/sec will be:
distance Ashley covered is 15 miles
time=2 hours
thus;
speed=(15x1760)/(2x60)
=220 yards/ min

8 0

3 years ago

Read 2 more answers

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0

3 years ago

Solve 3x + k = cfor x.

Ghella [55]

First, subtract k from both sides. That means c - k is in the left side and 3x is on the right. Then, divide by 3 on both sides. So, the answer is x = (c - k) / 3.

7 0

3 years ago