Answer:
2x + 10
Step-by-step explanation:
To expand (using the distributive property) <u>multiply</u> the number outside the bracket i.e. in this case '2', with the <u>values inside the brackets</u>.
So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.
So
2(x + 5)
= (2*x)+(2*5)
=2x+10
<em>extention note:</em> <u>be careful</u> when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.
an example
2(x-5)
= (2*x)+(2*-5)
=2x -10
Anyhow, I hope this helped!
Answer:
he cross section becomes smaller but stays a trapezoid.
Step-by-step explanation:
First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
Answer:
they are parallel
Step-by-step explanation:
they have the same slope
Complete Question:
Is the value of the fraction 7−2y/6 greater than the value of the fraction 3y−7/12 ? For what values?(Make sure to use an inequality)
Answer:
y < 3
Step-by-step explanation:
The given two fractions are:
and 
We have to tell for which range of values is the value of first fraction larger than the second fraction. This can be done by setting up an inequality as shown:

The range of y which will satisfy this inequality will result in first fraction of larger value as compared to the second fraction.
Multiplying both sides of inequality by 12, we get:

This means, for y lesser than 3, the value of first fraction is larger than the second one.