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3 years ago

Find the distance between the two points rounding to the nearest tenth if necessary (-1,4) and (4,-8)

Mathematics

1 answer:

laila [671]3 years ago

5 0

Answer:

13 units

Step-by-step explanation:

$\sqrt{(4--1)^{2}+(-8-4)^{2} }$

= $\sqrt{5^{2}+(-12)^{2} }$

= $\sqrt{25 + 144}$

= $\sqrt{169}$

=13 units

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The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?

SVETLANKA909090 [29]

$Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\ \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}$

$Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}$

6 0

3 years ago

Write in slope-intercept form an equation of a line that passes through the given points. (1,6) and (3,2)

Nataliya [291]

Answer:

The answer to your proble I'm slow intercept from is y=-2x+8

Step-by-step explanation:

4 0

3 years ago

Can someone answer this question for me pls n thanks

allsm [11]

Answer:

Mean: 29.5; Median: 26; Modes: 25, 26

Step-by-step explanation:

Add 10+12+25+25+26+26+30+31+33+34+47+55 = 354

Then divide it by 12 354/12 = 29.5

Mode are numbers that appear most often which in this case are 2 numbers, 25 and 26.

8 0

2 years ago

Am I correct <br> 2017 -1846= 171<br> 2017-1781= 236<br> 1847-1781=65 yrs difference

Anit [1.1K]

Yes for the first one, yes for the second one, and yes for the third one although your subtraction equation had the wrong year (its not 1847 its 1846) but the answer was right, 65.

5 0

3 years ago

Select the correct answer. What is the solution to this equation? -10 + (x) = -4 A. x = -9 or x = 4 B. X = 9 or x = 21 c. x=-9 o

Bogdan [553]

Answer:

The solution isn't listed

Step-by-step explanation:

x = 6 because you add -10 to -4 and you get 6

7 0

2 years ago