Simplify: –4(x – 5) + 3(a – 7)
a.
–4x + 3a + 41
b.
–4x + 3a + 1
c.
–4x + 3a – 1
d.
–4x + 3a – 41

-4 (x - 5) + 3 (a - 7)

First, expand your problem. / Your problem should look like: -4x + 20 + 3a - 21
Second, simplify. / Your problem should look like: -4x + 3a - 1

 -4x + 3a - 1 (C)

−4(x−5)+3(a−7)

Distribute:

=(−4)(x)+(−4)(−5)+(3)(a)+(3)(−7)

=−4x+20+3a+−21

Combine Like Terms:

=−4x+20+3a+−21

=(3a)+(−4x)+(20+−21)

=3a+−4x+−1

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )