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3 years ago

4t2–40t+84 factorise quadratics

Mathematics

2 answers:

Evgen [1.6K]3 years ago

6 0

Answer:

4( t - 7) ( t - 3 )

Step-by-step explanation:

4t² - 40t + 84

4(t² - 10t + 21)

4( t - 7) ( t - 3 )

Viktor [21]3 years ago

5 0

Answer:

4(t − 3)(t − 7)

Step-by-step explanation:

4(t–3)(t–7)

4(t2–3t–7t+21)

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Find the minimum value of the function f (x) = 2x² + 11.4x + 18.5 to the nearest hundredth.

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Answer:

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3 years ago

X=8 THE DIRECTIONS ARE ON THE TOP

AleksAgata [21]

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula --> y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

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3 years ago

Find the area of the trapezoid below.

Pani-rosa [81]

Answer: 54 cm²

Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.

The formula for the area of a trapezoid is shown below.

$Area =\frac{1}{2} (^{b} 1 + ^{b}2)h$

The b's represent the bases which are the parallel sides and h is the height.

So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have $\frac{1}{2} (6 cm +12cm)(6 cm)$ .

Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have $\frac{1}{2}(18 cm)(6 cm)$ .

$\frac{1}{2} (18 cm)$ is 9 cm and we have 9 cm · 6 cm of 54 cm²

So the area of the trapezoid shown is 54 cm².

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3 years ago