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Travka [436]
2 years ago
9

Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c

Mathematics
1 answer:
MaRussiya [10]2 years ago
8 0

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

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in the town of pleasant hill there is an average of 16 sunny days each month. write an expression to represent the approximate n
denis23 [38]
32 divided by 2 would equal 16 sunny days.
6 0
3 years ago
25 Trent's watch runs at half the speed itshould. In other words, the hands on thewatch move only a half hour when an hourof tim
sergeinik [125]

Given that Trent's watch runs at half the speed it should run, this implies that

for every hour passed, his watch moves by half an hour.

Hence, for every half-hour passed, Trent's watch moves by 15 minutes.

Hence, when the real time is 10:30 am, Trent's watch will show 9:15 am.

6 0
1 year ago
the length of a tangent from a point a at distance 5 cm from the centre of the circle is 4 cm find the radius of the circle ​
Semenov [28]

The radius of the circle is 3 cm.

<u>Step-by-step explanation:</u>

Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm

As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.

Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,

             (\text {Hypotenuse})^{2}=(\text {Height})^{2}+(\text {Base})^{2}

             (O A)^{2}=(O B)^{2}+(A B)^{2}

Substitute the given values in the above expression, we get

             (5)^{2}=(O B)^{2}+(4)^{2}

             (O B)^{2}=25-16=9

Taking square root on both side, we get

              Radius of the circle, OB = 3 cm

5 0
3 years ago
Find the<br> surface area of the<br> prism.
natta225 [31]

Answer:

D.  972 ft^2

Step-by-step explanation:

SA = 2B + PH

where SA = total surface area of the prism,

B = area of a base

P = perimeter of the base

H = height of the prism

SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)

SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)

SA = 972 ft^2

3 0
2 years ago
The function F described by ​F(x)equals=2.75xplus+71.48 can be used to estimate the​ height, in​ centimeters, of a woman whose h
Kryger [21]

Answer:

156.5375 cm

Step-by-step explanation:

The function used to estimate the height is F(x)

F(x) = 2.75x + 71.48

The humerus is xcm long. When x = 30.93cm, we put x = 30.93 into the function F(x)

F(30.93) = 2.75(30.93) + 71.48

= 85.0575 + 71.48

= 156.5375 cm(4 decimal places)

3 0
3 years ago
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