Answer:
y = - 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = 
= 
= -
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = - x + 2 ← equation of line
Answer:
q= -ck+dp/
-k+d
Step-by-step explanation:
Step 1:
Multiply both sides by p.
dp=ck−kq+pq
Step 2:
Flip the equation.
ck−kq+pq=dp
Step 3:
Add -ck to both sides.
−kq+pq=−ck+dp
Step 4:
Factor out variable q.
q(−k+p)=−ck+dp
Step 5:
Divide both sides by -k+p.
q= -ck+dp/
-k+d
Sorry if it's all letters and u needed numbers.
A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
Let Sam be (S+8) years while his sister is S years.
S(S+8) = 105
S^2+8S-105 = 0
(S+15)(S-7) = 0
Sam’s sister is 7 years and Sam is 15 years old.
0 is most likely the answer. considering you didn’t add a picture or anything like that.
