I believe the answer would be 13.75 but i’m not completely sure on this so correct me if i’m wrong
Answer:
8x² + 11x - 9
Step-by-step explanation:
M - N
= 5x² + 7x - 4 - 1(- 3x² - 4x + 5) ← distribute parenthesis by - 1
= 5x² + 7x - 4 + 3x² + 4x - 5 ← collect like terms
= 8x² + 11x - 9
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,

Therefore,
the length of DE will be 3 units
Answer:
Domain : (-∞,∞) Range : (-∞,∞)
Step-by-step explanation:
Given:
f(x) = 3x+5
To find: Domain and Range of f(x)
Domain is the set of values that x can take.
Range is the set of values of y corresponding to the values of x in the domain.
Here x can take any value and the domain is the set of real numbers i.e (-∞,∞).
f(x) = 3x + 5
The graph of f(x) is a straight line that extends from -∞ to +∞ and hence the range is (-∞,∞).