MATHEMATICS MIDDLE SCHOOL

Which is an equation of the given line in standard form?A.
–8x + 9y = 23

B.
–8x + 9y = –23

C.
–8x + 7y = 25

D.
–9x + 8y = –23
Which is an equation of the given line in standard - 1

Answers

Answer 1
Answer:

Answer : The correct option is, (A) -8x + 9y = 23

Step-by-step explanation :

The general form for the formation of a linear equation is:

(y-y_1)=m* (x-x_1)          .............(1)

where,

x and y are the coordinates of x-axis and y-axis respectively.

m is slope of line.

First we have to calculate the slope of line.

Formula used :

m=((y_2-y_1))/((x_2-x_1))

Here,

(x_1,y_1)=(-4,-1) and (x_2,y_2)=((1)/(2),3)

m=((3-(-1)))/(((1)/(2)-(-4)))

m=(8)/(9)

Now put the value of slope in equation 1, we get the linear equation.

(y-y_1)=m* (x-x_1)

(y-(-1))=(8)/(9)* (x-(-4))

(y+1)=(8)/(9)* (x+4)

9* (y+1)=8* (x+4)

9y+9=8x+32

9y=8x+32-9

9y=8x+23

9y-8x=23

From the given options we conclude that the option A is an equation of the given line in standard form.

Hence, the correct option is, (A) -8x + 9y = 23
Answer 2
Answer: -8x+9y=23 -- y=8/9x+23/9

(-4,-1), (1/2,3)
(3--1)/(1/2--4)= 4/(4 1/2)=.888888889

So answer A because if you rearrange it in y=mx+b form you see it's y=8/9x+23/9. And using the two points provided you can subtract to find the slope which comes out to be 8/9 the only two answers with that are A and B, so eliminate C and D. Then you can easily tell by looking at the graph that the y-intercept is positive, thus answer A is the only answer that works.

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Is 49 prime or composite

Answers

If it has any other factors besides ' 1 ' and '49',
then it's composite.

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So 49 is composite.
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if the product of two positive fractions a and b is 15/56' find three pairs of possible values for a and b.

Answers

all you have to do is find pairs of factor for both 15 and 56

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so three possibilities could be

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A person sold 100 shares of stock at a loss of 40%. If the selling price for the 100 shares was $3,000, which of the following comes closest to what was paid for the stock?

Answers

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10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the house and drove the sameroute as her father, but at an average speed of 48 mph. How far from homewere they when Miranda overtook her father?

Answers

Speed=distance / time  ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance  traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours=  80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt    ⇒d=80+40t      (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t      ⇒d=48t       (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
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d=48t
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Answer: the thistance will be 480 miles.

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Answers

The tank is 144 gal and they wanna lower it to 2/3×144= 96 gal so the tank must drain 144-96= 48 gal
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A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 feet.The remainder of the landis farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)

Answers

rectanglearea=legnth timees width
triagnlearea=1/2base times height

ok so we find volume of entier land first

we can cut into triangle an rectangle

triangle=height=650-200=450
base=600
area=1/2*600*450=135000 ft^2

rectangle=200 times 600=120000

add
135000+120000=255000ft^2


find other areas and subtract
areahouse=45*38=1710
areawooded=118*60=7080
frontyard=78*40=3120
add
1710+7080+3120=11910

minus

255000-11910=243090

how many acres are farmed

43560ft^2=1acre
divide both sides by 43560
1ft^2=1/43560 acre

multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded

answer is 5.6 acer
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