The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7= -2/5(x-10) what is the standard form of this equation of the line

Answers

Answer 1
Answer: Standard form for y+7=-2/5(x-10) is y=-7-2/5(x-10)

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Terrance and Lakendra are going to GameStop for new video game controller and some new games. Their grandmother gave them a $125 gift card for this purpose. If the controller they want is $45 and games are $20 each, what is the maximum number of games they can be purchase (their father will be paying the sales tax)?

The length of a rectangle is 4 more than 3 the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?

Answers

im assuming you mean 4 more than 3 times the width so we'll make the width x and the length 3x + 4
perimeter is all of the sides added together so our equation is 2(x) + 2 (3x + 4) because there are two sides for length and two for width. we expand this equation to: 2x + 6x + 8 which equals 8x + 8. this is equal to 18.4 so 8x + 8 = 18.4
subtract each side by 8: 8x = 10.4 
divide each side by 8: x = 1.3
if x = 1.3 then the width = 1.3
if the width = 1.3 then the length = 7.9 because 3(1.3) + 4 = 7.9
area is length times width so 1.3 x 7.9 = 10.27
The area is equal to: 10.27

6 1/2 +7/2=
maths work out plz

Answers

Answer:

10

6 1/2 + 7/2= 6 1/2 + 3 1/2= 6+ 3 + 1/2 + 1/2 =10

Answer:

34

Step-by-step explanation:

61/2 +7/2=68/2=34

mark me brainliest plz

Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall’s garden.

Answers

answer windex heres the step by step explanation everything =windex Step-by-step explanation:

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the Boulder, h, in feet after t seconds is given by te function h=-16t^2+112t+30. How long does it take the Boulder to reach its maximum height? What is the Boulder's maximum height ? Round to the nearest hundredth , if necessary . Please , help . I am really stuck here

Answers

Answer:

 Boulder's maximum height is 226 ft.

 It take 3.5 seconds the Boulder to reach its maximum height.

Step-by-step explanation:

Given :  

A catapult launches a boulder with an upward velocity of 112 ft/s.  

The height of the Boulder, h, in feet  

After t seconds is given by the function :


h = -16t^(2) +112t+30     --(a)

A quadratic function can be graphed using a table of values. The graph creates a parabola.


If the coefficient of the squared term is positive then the parabola opens up and The vertex of this parabola is known as the minimum point.


If the coefficient of the squared term is negative then the parabola opens down and The vertex of this parabola is known as the maximum point.


Now we will use vertex formula to calculate t

When f(x)= ax^(2) +bx+c

then vertex will be

x=(-b)/(2a)

Now consider the given function:

h = -16t^(2) +112t+30


where a = -16

b=112

so using vertex formula :

t=(-112)/(2*(-16))

t=3.5

Thus,  it take 3.5 seconds the Boulder to reach its maximum height.

Now to calculate the Boulder's maximum height . Put value of t = 3.5 in given function (a)

h = -16(3.5)^(2) +112(3.5)+30  

h = -196 +392+30  

h = 226  

Thus,  Boulder's maximum height is 226 ft.

Well we first need to do the math problem 

-b/2a = -112/2(16) = 3.5 s t= 3.5s h = -16t^2 + 112t + 30 h = -16(3.5)^2 +122(3.5) +30 h = 226

adjust the windows to y=300

3.5 s; 226 ft

Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by D = 3w + 60 where w is the number of weeks he has saved 3 dollars. His sister Lana makes a table of reasonable values for w. Lana selects 42 as a value for w. What is the corresponding table entry for D?(TEACHER HINT: They are asking what D will be if w is 42.)

A.54
B.105
C.186
D. 402

I Don't Get Algebra At All ._.

Answers

The answer is 186. You replace 42 where (W) is then 3X42 gives you 126. Then add 60 and get 186. D=186
The answer is C. What you do is 3 times 42 (W=42) then that will be 126 then just add 60 and D=186

what rational number lies in between -14/31 and -17/33? A. -989/3069 B. -123/276 C. -989/2046 D. -4/7

Answers

-14/31 and -17/33

-17/33 - (-14/31) = (-17/33*31/31) - (-14/31*33/33) = -527/1023 +  462/1023

= (-527+462)/1023 = -65/1023 

-65/1023 ÷ 2 = -65/1023 * 1/2 = -65/2046

-17/33 - (-65/2046) = (-17/33*62/62) - (-65/2046) = -1054/2046 + 65/2046
= -989/2046 Choice C.