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2 years ago

Find the distance between the points (-6, -8) and (0, -10).

Mathematics

1 answer:

inn [45]2 years ago

5 0

Answer:

2√10

Step-by-step explanation:

-√(x2-x1) squared +(y2-y1) squared

-√(0-(-6)) squared +(-10-(-8)) squared

- simplify and get 2√10 which you can simply further to 6,32( rounded off to two decimal places)

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Find the equation of the line with Slope =5 and passing through (9,51)

BaLLatris [955]

Answer:

The equation of the line that passes through the point (9,51) with a slope of 5

y=5x+6

Step-by-step explanation:

You want to find the equation for a line that passes through the point (9,51) and has a slope of 5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:

y=5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(9,51). When x of the line is 9, y of the line must be 51.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (9,51).

So, why not plug in for x the number 9 and for y the number 51? This will allow us to solve for b for the particular line that passes through the point you gave!.

(9,51). y=mx+b or 51=5 × 9+b, or solving for b: b=51-(5)(9). b=6.

4 0

3 years ago

How do I find the sum of this series?<br>Question D

raketka [301]

Sum of an infinite geometric sequence with the common ratio r, and the first term a1 is $\frac{a_1}{1-r}$

we notice
-2 times -1/4=1/2,
1/2 times -1/4=-1/8
so a1=-2
r=-1/4 or -0.25

so the sum is
$\frac{-2}{1-(-0.25)}$ =
$\frac{-2}{1+0.25}$ =
$\frac{-2}{1.25}$ =
$\frac{-8}{5}$ =
the sum is -8/5 or -1.6

8 0

3 years ago

50 POINTS!!

Charra [1.4K]

Answer:

$FH=73$

Step-by-step explanation:

We are given that a segment FH and G is the midpoint of FH.

FH= $14x-4$

$FG=5x+9$

We have to find the measure of FH.

When G is the midpoint of segment FH

Then , FG=GH

$FH=FG+GH$

Segment addition property

$14x-4=FG+FG$

Substitution property

$14x-4=2FG$

$14x-4=2(5x+9)$

$14x-4=10x+18$

$14x-10x=18+4$

$4x=22$

$x=\frac{22}{4}=5.5$

Substitute the values then we get

$FG=5(5.5)+9=36.5$

$FG=GH=36.5$

$FH=14(5.5)-4=73$

8 0

3 years ago

at the end of the day vegetables at farm market sell for $2.00 a pound and a bakery costs $3.50. if Charlene wants to buy a bask

9966 [12]

10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x

10=2x+7 |-7
3=2x |:2
1,5=x

You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.

8 0

3 years ago

Vincent’s savings over several weeks are shown in the table. If a linear function models Vincent’s savings over time, how much m

nataly862011 [7]

Answer:

I think that its $35

Step-by-step explanation:

4 0

2 years ago