Answer:
B. y = -x - 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.
Plug the slope and the given point into y = mx + b to find b:
y = mx + b
3 = -1(-4) + b
3 = 4 + b
-1 = b
Then, plug this and the slope into y = mx + b
y = -x - 1
So, the correct answer is B, y = -x - 1
Answer:
The fifth term is the middle term of nine, with coefficient given by all the ways of choosing 4 items out of 8
, namely the ways of choosing 4
a
's out of 8 binomial factors.
Step-by-step explanation:
4/5 is the quotient or the answer
Answer:
837.23 cm³
Step-by-step explanation:
La fórmula para el volumen de un prisma pentagonal se da como:
1/2 (5 s × a) × h
Dónde:
s = longitud lateral
a = Apotema
h = altura
De la pregunta anterior:
s = largo de lado = 6.1 cm
a = Apotema = 4.5 cm
h = Altura = 12.5 cm
Por lo tanto:
El volumen del prisma pentagonal =
1/2 (5 × 6.1 × 4.5) × 12.5
= 1/2 × 137.25 × 12.5
= 837.225 cm³
Aproximadamente = 837.23 cm³
As the figure is not attached, I have attached the figure using the link- https://cdn.ple.platoweb.com/EdAssets/6764fbd04e1f4014be049f2831fd4e8c?ts=635356393812430000
Answer:
Area is 30 square inches.
Step-by-step explanation:
Given:
The wooden cutout of the lightning bolt consists of 2 right angled triangles with the legs being 10 inches and 3 inches.
The area of this lightning bolt will be equal to the sum of the areas of the two right angled triangles.
The area of a triangle of base 'b' and height 'h' is given as:

Here,
. Plug in solve for area of one of the triangles.
Therefore, area of the right angled triangle is:

Now, the two right angled triangles are congruent. So, total area is twice the area of one of the triangle.
Therefore, total area of the lightning bolt is
in².