Answer:
Any Number
Step-by-step explanation:
g(x) can be any number greater or smaller than f(x) by the value of k - and so whatever k is, is how to make f turn to g.
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.
Answer:
(S1) JM ≅ NL. | (R1) given.
(S2) ∠JMN ≅ ∠LNM. | (R2) given.
(S3) MN ≅ NM. | (R3) reflexive property.
(S4) ∆JMN ≅ ∆LNM | (R4) SAS theorem.
Answer:
The solutions are 1 , -6
Step-by-step explanation:
∵ (x + 2)(x + 3) = 12
∴ x² + 3x + 2x + 6 - 12 = 0
∴ x² + 5x - 6 = 0
∴ (x - 1)(x + 6) = 0
∴ x - 1 = 0 ⇒ ∴ x = 1
∴ x + 6 = 0 ⇒ x = -6
Answer:
1. -1/2
2. -2/3
4. 0
5. -3/4
Step-by-step explanation:
Parallel lines have the same slope. To find the slope from the equation, use the form y=mx +b by finding m.
1. y= -1/2x - 1 has m=-1/2. This is the same slope for the parallel line.
2. y = -2/3x -1 has m = -2/3. This is the same slope for the parallel line.
4. y = 6 is a line through the y-intercept 6 on the y-axis. Because this is a horizontal line, the slope is 0. A parallel line will have 0 as the slope too.
5. 3x + 4y = 12 needs to be converted to y =mx+b.
4y = -3x +12
y= -3/4 x + 3
The slope is -3/4 so the parallel line will have the same slope.