Answer:
The correct answer is "1".
Step-by-step explanation:
You need only set x to zero, and solve for y:

Answer:
A = 6x² + 97x + 391
Step-by-step explanation:
Given that,
The length of the shop, l = (3x+23)
The width of the shop, b = (2x+17)
The expression for the area of the shop is given by :
A = lb
Put all the values,
A = (3x+23) × (2x+17)
= 6x² +51x+46x +391
= 6x² + 97x + 391
Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.
Answer:27,500
Step-by-step explanation:
Hope this helps
Answer:

Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(A|B) is the probability of event A happening, given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
We have that:

So

Then

Answer:
The measure of angle PQR is 74 degrees
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Bisect an angle means divide the angle into two equal parts in
measures
- Ex: If angle ABC is bisected by a ray BD then:
- Angle ABC is divided into two equal parts in measure
m∠ABD = m∠CBD and
m∠ABC = m∠ABD + m∠CBD
- So we can say measure of angle ABC is twice measure of angle
ABD or twice measure of angle CBD
*<em> Lets solve the problem</em>
- Julio bisects angle PQR and labels a point on the bisector as S
∴ m∠PQS = m∠RQS
∴ m∠PQR = m∠PQS + m∠RQS
∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)
- He measures angle PQS with a protractor and find its measure is
37 degrees
∵ m∠PQS = 37°
∴ m∠PQR = 2 × m∠PQS
∴ m∠PQR = 2 × 37 = 74°
∴ The measure of angle PQR is 74 degrees