Answer:
a. 11x + d
b. 15m + 10n
Step-by-step explanation:
a. 2(4c+5d) + 3(x-3d)
Break the brackets:
2*4c + 2*5d + 3*x - 3*3d
= 8x + 10d + 3x - 9d
Collect like termsL
= 8x + 3x + 10d - 9d
= 11x + 1d
b. 6(3m+n) - 4(m-n)
Break the brackets:
= 6*3m + 6*n - 3*m - 4*(-n)
= 18m + 6n - 3m - (-4n)
= 18m -3m + 6n + 4n
= 15m + 10n
Hope this helped :3
Answer:
67
Step-by-step explanation:
100 - 33 = 67
The difference between 100 and 33 is 67.
Answer:
y-intercept of y=4x-3 is -3
Step-by-step explanation:
The given equation is:
y = 4x -3
The equation is in slope-intercept form.
The standard equation of slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept
So, comparing the given equation with the standard equation the y-intercept is -3
y-intercept of y=4x-3 is -3
SA: 2xLxW + 2xWxH + 2xLxH
SA: 2x4.5x20 + 2x4.5x23 + 2x20x23
SA: 180 + 207 + 920
TSA: 1307cm2 (squared)
Answer:
The two column proof is presented as follows;
Statement 
Reason
1. Parallelogram SUPN 
⊥ 
1. Given
and 
⊥
2. ∠SRU = ∠PMN = 90° 2. Definition of perpendicular lines
3. ∠SRU ≅ ∠PMN 2. Definition of congruency
4. 
║ 
4. Opposite sides of a parallelogram are congruent
5. ∠SNR ≅ ∠PUM 5. Alternate interior angles are congruent
6. ≅ 6. Opposite sides of a parallelogram are congruent
7. ΔPMU ≅ ΔSRN 7. By AAS rule of congruency
By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, ≅ ) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)
Step-by-step explanation:
