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slamgirl [31]
3 years ago
14

The points (3,10) and (5,t) fall on a line with a slope of -4 what t value

Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

t=2

Step-by-step explanation:

The slope is given by  

m = (y2-y1)/(x2-x1)


We have points (3,10) and (5,t) and the slope is -4

Substituting these in

-4 = (t-10)/ (5-3)

Simplifying

-4 = (t-10) / 2

Multiply by 2 on both sides

-4 = (t-10) / 2 *2

-8 = t-10

Add 10 on both sides

-8+10 = t-10+10

2 = t

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3 years ago
Write an equation of each line with the given slope and y-intercept. slope =1/2 ; y-intercept = 0
CaHeK987 [17]

Answer:

y=1/2x

Step-by-step explanation:

Equations of lines are written in slope-intercept form:

y=mx+b

where m is the slope and b is the y intercept.

The slope is 1/2 and the y-intercept is 0. Therefore, we can substitute 1/2 for m and 0 for b.

y=1/2x+0

Adding 0 onto the end doesn't change the equation and doesn't serve a purpose, so it can be removed from the end of the equation.

y=1/2x

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4 0
3 years ago
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
den301095 [7]

Answer:

The maximum height of the prism is 12\ m

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

A=L*W

A\leq 27\ m^{2}

so

L*W\leq 27 -------> inequality A

W=x-9 ------> equation B

L=W+6 -----> equation C

Substitute equation B in equation C

L=(x-9)+6

L=x-3 ------> equation D

Substitute equation B and equation D in the inequality A

(x-3)*(x-9)\leq 27-------> using a graphing tool to solve the inequality

The solution for x is the interval---------->[0,12]

see the attached figure

but remember that

The width of the base must be 9 meters less than the height of the prism

so

the solution for x is the interval ------> (9,12]

The maximum height of the prism is 12\ m

8 1
2 years ago
Read 2 more answers
Which are the center and radius of the circle with equation (x + 5)2 + (y - 4)2 = 9?
alina1380 [7]

Answer:

Center (-5,4) radius 3

Step-by-step explanation:

The standard equation of a circle is

(x-h)^2+(y-k)^2=r^2

where the center is (h,k) and r is the radius

so h=-5 in this case and k is 4

r^2=9 so r=3

4 0
3 years ago
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