To increase 76 in the ratio 5:2, we need to multiply 76 by 5/2.
New value = 76 × 5/2
= 76 × 2.5
= 190
Visual imagery involves words or phrases that create mental images for the reader using sensory detail.
It helps the reader see what is being described as if it were happening before their eyes.
Given a : b = 2 : 3 and b : c = 3 : 4
Since b is common in both ratios, we can directly combine the ratios:
a : b : c = 2 : 3 : 4
The probability of any event is always a value between 0 and 1, inclusive.
The given quadratic expression is x² - 2x + 1.
This can be factored as:
x² - 2x + 1 = (x - 1)(x - 1)
= (x - 1)²
The answer is (x - 1)(x - 1).
Concave mirrors or lenses were used to focus sunlight onto a single point.
This focused sunlight generated high temperatures for cooking or heating.
Slope AB = (-2-2)/(5-1) = -4/4 = -1
Slope BC = (2-5)/(1-(-2)) = -3/3 = -1
Since slopes AB and BC are equal (-1), the points A, B, and C are collinear.
When comparing two things, we use the comparative form of the adjective, which is "longer" for "long."
"Longest" is the superlative form used when comparing three or more things.
Given 2 is a zero of the polynomial 2x⁴ + x³ + kx² - 8, we substitute x = 2 into the polynomial and set it equal to 0:
2(2)⁴ + (2)³ + k(2)² - 8 = 0
2(16) + 8 + 4k - 8 = 0
32 + 8 + 4k - 8 = 0
32 + 4k = 0
Now, solve for k:
4k = -32
k = -32/4
k = -8
'One-fourth' uses a hyphen (-) to connect two words that together form a fraction.
A hyphen is used to join words or parts of words for clarity and meaning.