Answer:
Ela segue esse modelo
f(x) = ax + b
Então, é só substituir os valores de x e de y na Lei de Formação
Ex: quando x=0, y=-1
y= ax+b
-1=a.0+b
b= -1
È onde a reta toca o eixo y, porque x=0
Agora, vamos usar outro par ordenado.
Quando x=2, y=3
3=a.2+(-1)
3=2a-1
3+1=2a
4=2a
a=4/2
a=2
A lei de formação é essa
a= 2; b=-1
f(x)= ax+b
f(x)=2x-1
Answer:
Triangle PQR is a right triangle therefore you can use the pythagorean theorem to find the length of PR which is the same as the hypothenuse
Step-by-step explanation:
Theorem:
(QP)² + (QR)² = (PR)²
(6)² + (14)² = 232 ⇒ (PR)² = 232 then PR = √232 = 15.23
If PR is adjusted to 16 feet then we use the Pythagorean theorem again to find the height QR
(QR)² + (14)² = (16)²
(QR)² = 256 - 196 = 60 ⇒ QR = √60 = 7.75.
Answer:
∠ACD= ∠BAC ( reason: CPCTC)
Answer:
13 pencils.
Step-by-step explanation:
Let x be the pens and y be the pencils
Given:
Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.
Total pens and pencils is 22
So,
----------------(1)
And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.
------------(2)
solve equation 1 and equation 2 for x and y.
From equation 1.

----------------(3)
put y value in equation 2.







Now substitute x value in equation 3.


So, he buy 13 pencils.