Hope this helps! The slope of the line passing through
(
2
,
7
)
and
(
0
,
−
5
)
is
m
=
y
2
−
y
1
x
2
−
x
1
=
−
5
−
7
0
−
2
=
−
12
−
2
=
6
.
Answer:
B. A rectangle, 4 in by 3 in
Step-by-step explanation:
The foam has the shape of a cuboid with base of 10 in by 4 in and height of 3 in.
The foam has a front elevation of a rectangle with dimension of 4 in by 3 in. It has a left elevation of dimension 10 in by 3 in and a plan of dimension 10 in by 4 in.
If the foam is cut along the red line, the exposed face would be the same as the shape of the front elevation. Hence the shape of the cross section would be a rectangle with dimension of 4 in by 3 in.
...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer
Answer:
(x + 6)(x + 13)
Step-by-step explanation:
Given
x² + 19x + 78
Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)
The factors are + 6 and + 13 , since
6 ×13 = + 78 and 6 + 13 = + 19 , then
x² + 19x + 78 = (x + 6)(x + 13) ← in factored form
Answer: The correct statements are
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
David applied the distributive property.
Step-by-step explanation:
GCF = Greatest common factor
1) GCF of coefficients : (80,32,48)
80 = 2 × 2 × 2 × 2 × 5
32 = 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
GCF of coefficients : (80,32,48) is 16.
2) GCF of variables :(
)
= b × b × b × b
= b × b
=b × b × b × b
GCF of variables :(
) is 
3) GCF of
and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.
4) 
David applied the distributive property.