111 = 14a This part is for the extra characters

Write the linear equation in slope intercept form.<br><br>4x+y=1

geniusboy [140]

Answer: y=-4x+1

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:

4x+y=1

(4x+y)-4x=1-4x

y=1-4x

y=-4x+1

8 0

3 years ago

Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)

lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

$(y-k)=a(x-h)^{2}$

we have

the vertex is the point (5,-4)

substitute

$(y+4)=a(x-5)^{2}$

The y-intercept is the point (0,96)

substitute and solve for a

$(96+4)=a(0-5)^{2}$

$100=a(25)$

$a=100/25=4$

The equation of the vertical parabola is equal to

$(y+4)=4(x-5)^{2}$

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$4=4(x-5)^{2}$

Simplify

$1=(x-5)^{2}$

Rewrite

$(x-5)^{2}=1$

square root both sides

$(x-5)=(+/-)1$

$x=(+/-)1+5$

$x=(+)1+5=6$

$x=(-)1+5=4$

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

4 0

3 years ago

Mr Jones spent 156 to attend a college football game .twenty percent of this cost was for a parking pass.he spent the remainder

maks197457 [2]

Step One: Find 20% of 156
20% = .20
156 x .20 = 31.20

Step Two: Find the price of tickets

31.20 / 2 = 15.60

Final Answer: $15.60 per ticket

Hope this helps!

4 0

3 years ago

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each s

irga5000 [103]

The answer is add 35 and 52 and you will get 87 which was supposed to be the amount sold

4 0

3 years ago

Another landscape architect recommends installing a triangular statue

Dima020 [189]

Answer:

A landscape architect recommends installing a triangular statue with

vertices at (10, −10), (10, −8), and (7, −10).

a. Is the triangle congruent to triangle T ? Justify your answer.

b. Propose a series of rigid motions that justifies your answer to part a.

6. Another landscape architect recommends installing a triangular statue

Step-by-step explanation:A landscape architect recommends installing a triangular statue with

vertices at (10, −10), (10, −8), and (7, −10).

a. Is the triangle congruent to triangle T ? Justify your answer.

b. Propose a series of rigid motions that justifies your answer to part a.

6. Another landscape architect recommends installing a triangular statue

5 0

3 years ago