Answer:
x = 7
Step-by-step explanation:
Let x = the number. Then
"Triple a number" means 3x
"is the same as" means =
"double the number increased by 5" means 2x + 7
∴ 3x = 2x + 7
Subtract 2x from each side
x = 7
The answer is x = 7.
Check:
3 × 7 = 2 × 7 + 7
21 = 14 + 7
21 = 21
OK.
Explanation is in a file
Recall the slope intercept form of an equation is:
y = mx + c, where m is the slope and c = vertical intercept.
y + 2 = 5x + 4
y + 2 = 5x + 4
y = 5x + 4 - 2
y = 5x + 2
So the slope intercept form is y = 5x + 2
Hope this helps.
Answer:
13 feet long
Step-by-step explanation:
This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.
Use the pythagorean theorem, and solve for c, the hypotenuse:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
So, the ladder is 13 feet long
Answer:
E. People once thought animals were individually create by some superior.
But the solid creation of theory of origin of species by the naturalist Charles Darwin demonstrated a different theory.
Step-by-step explanation:
Before Charles Darwin several scientists were discussing the hypothesis of a theory of evolution. But it was Darwin whom put together all the information with reliable explanation and correlation between animal specialization and environment accordyinly with time.
He spent almost five years on board the ship HMS Beagle, crossing several continents, starting with South America. From there, he returned with dozens of specimens of living species, illustrations and fossils. Those specimens helped Darwin in his discoveries which originated the book On the Origin of Species published in 1859.
