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3 years ago

Find the slope of the given points (3, 4) and (7,-4). A)-1/2 B) 2 C) -2 D) 0

Mathematics

1 answer:

kakasveta [241]3 years ago

7 0

Answer:

-2

Step-by-step explanation:

$y = kx + n$

When you insert the given points you get

$3k + n = 4 \\$

$7k + n = - 4 \\$

Than you multiply the first one by - 1 and sum it with the second to get rid of n

$4k = - 8 \\ k = - 2$

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F(x) = 4x^2 - 3x + 2kx + 1

dybincka [34]

$f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}$

$\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)$

6 0

3 years ago

Complete the statement below.

slava [35]

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▹ Answer

▹ Step-by-Step Explanation

You can use any expression that shows the commutative property of multiplication. For example, 3 × 4 = 4 × 3

Hope this helps!

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Brainliest is greatly appreciated!

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4 0

3 years ago

HELP!!!! I need help

ahrayia [7]

Answer:

1 Tenths = 10 Hundredths

10.74 - 10.60 = 0.14

0.14 = 14 hundredths

Thus, you need 10 ones, 6 tenths and 14 hundredths to make 10.74.

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2 years ago

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3 years ago

Bella wants to know how long her dog is. She measure its body and finds that it is 54 cm long. Then she measures the tail and fi

Nady [450]

Answer:

88 cm

Step-by-step explanation:

body to tail = length of body + length of tail

body to tail = 54 cm + 34 cm

body to tail = 88 cm

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2 years ago