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3 years ago

On a map, two locations are 0.75 centimeter apart. Their actual distance is 15 kilometers apart.

1 answer:

6 0

If you are working out the number of KM per CM them you divide the KM by the CM:
15/0.75 = 20

This means that it is 20KM per every 1CM

Hope this helps! :)

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Factor the expression 12x^2 +7x+1

Leona [35]

Answer:

$\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}$

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

$\sf\implies p(x)= 12x^2+7x+1$

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: Multiply the coefficient of x² with the constant term .

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: Look out for the possible factors of the number .

Here the obtained number is 12 . So the possible factors of 12 is

1 *12
-1*-12
2*6
-2*-6
4*3
-4*-3

Step3: Choose the factor whose sum is equal to the coefficient of the middle term .

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: After proper arrangements take out the common term and then factorise.

After suitable rearrangment we get ,

$\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}$

7 0

2 years ago

Aswer: 5x - 2 = 3x + 4

GrogVix [38]

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 3x + 4

2x = 6

x = 3

5 0

2 years ago

PLEASE HELP ME IM STRUGGLING!!!

Kitty [74]

Answer:

The required answer is $c=7\sqrt{3}$

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

$\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\$

Substituting the values we get

$\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7$

Now in Triangle ADC Tangent identity we have

$\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}$

Substituting the values we get

$\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}$

The required answer is $c=7\sqrt{3}$

8 0

3 years ago

Can someone please help me with this

BARSIC [14]

I’m not 100% but my best guess is 20.

3 0

3 years ago

Solve for X Solve for X

sammy [17]

X = 9

Work:
5x-3+48+90=180 (sum)
-3+48+90=135
135+5x=180
subtract 135 from 135 and 180 and that gives you 45
5x=45
divide each side by 5
x=9

3 0

2 years ago

Read 2 more answers