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2 years ago

13

right in equation in standard form of the line that passes through the points parentheses -4, two parentheses and parentheses th

ree, eight parentheses

1 answer:

ANEK [815]2 years ago

4 0

Answer:

(-4 , 2) + (3 , 8) i think?

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Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

2 years ago

Given the explicit rule, f(n) = 2n - 3, generate the first four terms in the sequence.

Vikki [24]

Answer: -1, 1, 3, 5

Step-by-step explanation:

F(n)= 2n-3

F(1)=2(1)-3= -1

F(2)=2(2)-3= 1

F(3)=2(3)-3= 3

F(4)=2(4)-3=5

5 0

2 years ago

Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she

Makovka662 [10]

Answer:

A

Step-by-step explanation:

48 softballs

Divided among b bags

Divide 48 by b

48 ÷ b

Division expressions can also be written as fractions

Rewrite

48/b

The correct answer is A, 48/b

Hope this helps :)

8 0

2 years ago

What is the area of the composite shape below?

Hatshy [7]

5*2=10
10+12*4.5=64cm^2

Hope it helps

5 0

2 years ago

What is the equation, in point slope form, of the line

melamori03 [73]

Answer:

y=3/2x+11/2

Step-by-step explanation:

Hello! Sorry I just saw this

Anyways, let's continue

first, we need to find the equation of the line with the one that is (-2,-4) and (2,2)

first, we need to find the slope

the equation for slope is y2-y1/x2-x1

so let's label the points

x1=-2

y1=-4

x2=2

y2=2

now plug it in

2-(-4)/2-(-2)=6/4=3/2

now, let's turn it into a line

the point-slope form is y-y1=m(x-x1) (m=slope)

now, plug it in

y-(-4)=3/2(x-(-2))

simplify to

y+4=3/2(x+2)

turn into y=mx+b format

y+4=3/2x+3

subtract 4 on both sides

y=3/2x-1

Now for the line that is parallel.

Parallel lines have the same slopes, so you automatically know that the new line will be y=3/2x+b

To make sure (-3,1) is a solution to the point, put 1 as y and -3 as x

1=3/2(-3)+b

1=-9/2+b

add 9/2 on both sides

b=11/2 or 5.5

now, put it into the equation

y=3/2x+11/2

Hope this helps!

5 0

2 years ago