four time the first of three consecutive integers is six more than the product of two and the third integer. find the integers.

1 answer:

3 0

Assign variables :
Let x = first consecutive even
Let x + 2 = second consecutive even
Let x + 4 = third consecutive even
4x = 6 + 2(x+4)
4x = 6 + 2x + 8
4x = 2x + 14
4x - 2x = 14
so your answer is 7,9and 11

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50 POINTS AND MARK BRAINLIEST

givi [52]

Step-by-step explanation:

a) Using the distance formula,

$RS=\sqrt{(2-4)^{2}+(3-4)^{2}}=\sqrt{4+1}=\boxed{\sqrt{5}}\\ST=\sqrt{(4-5)^{2}+(4-0)^{2}}=\sqrt{1+16}=\boxed{\sqrt{17}}\\RT=\sqrt{(2-5)^{2}+(3-0)^{2}}=\sqrt{9+9}=\boxed{3\sqrt{2}}$

b) Using the slope formula,

$m_{\overline{RS}}=\frac{4-3}{4-2}=\boxed{\frac{1}{2}}\\m_{\overline{ST}}=\frac{0-4}{5-4}=\boxed{-4}\\m_{\overline{RT}}=\frac{0-3}{5-2}=\boxed{-1}$

c) The triangle is scalene because each of the sides is of a different length.

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2 years ago

What is the graph of the function rule? Y=|5x|-2

tensa zangetsu [6.8K]

y = 5x – 2  y = 5(11) – 2  y = 55 – 2 = 49
Remember, the values of the range are the values of y that we obtained above.
Therefore, the values of the range are {0.5,49).

6 0

4 years ago

Read 2 more answers

The coordinates of A, B, and C in the diagram are A (p, 4), B (6, 1 ), and C (9, q). Which equation correctly relates p and q? ↔

aivan3 [116]

Answer:

D. p + q = 7

Step-by-step explanation:

The slope of AB is ...

mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)

The slope of BC is ...

mBC = (q -1)/(9 -6) = (q -1)/3