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inna [77]
4 years ago
10

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

Mathematics
1 answer:
maw [93]4 years ago
3 0
<span>
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</span>
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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 <em>scalene</em> because each of the sides is of a different length.

4 0
2 years ago
What is the graph of the function rule? Y=|5x|-2
tensa zangetsu [6.8K]
<span>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).</span>
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

We want the product of these slopes to be -1:

  mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)

  -(q-1)/(6 -p) = -1 . . . . cancel factors of 3

  q -1 = 6 -p . . . . . multiply by -(6 -p)

  q + p = 7 . . . . . matches choice D

8 0
3 years ago
1/2 of a bag of candy is skittles, 1/4 is m and m's, and 3/4 of the rest of it are life savers. The rest are sour patch kids. Wh
m_a_m_a [10]

Answer:

6.25%

Step-by-step explanation:

Total = 1 ; as a decimal

1/2 = skittles

1/4 = M&Ms

Skittles +M&Ms = 1/2 + 1/4 = 3/4

Remainder = 1 - \frac{3}{4}

Remainder = \frac{1}{4}

Sour patch = \frac{1}{4} *\frac{1}{4} =\frac{1}{16}

As a percentage , multiply 1/16 by 100 and it becomes 6.25%

5 0
4 years ago
Factor each expression 15a - 13a
Komok [63]
Answer is 2a.

(1) Rephrase the expression as (15-13)a
(2) Solve the parenthesis and get 2
(3) Multiply 2 by a = 2a
8 0
4 years ago
Read 2 more answers
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