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Vinil7 [7]
3 years ago
9

PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to s

ketch out
his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).

Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

1) y=-\frac{1}{4}x+\frac{1}{2}

2) y=4x+5

3) y=-\frac{1}{4}x+4

Step-by-step explanation:

<em><u>Question 1:</u></em>

All you have to do is solve for y to get the slope intercept form.

4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}

So the equation is y=-\frac{1}{4}x+\frac{1}{2}

<em><u>Question 2:</u></em>

Now for this one you have to find the line perpendicular to the previous equation.

<em>      Finding the slope:</em>

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of -\frac{1}{4} it will be \frac{4}{1} or even easier to manage 4.

<em>      Finding the y-intercept:</em>

For the y-intercept we need to plug in what we know into this formula....y=mx+b

We know the slope is 4 and we could use the ordered pair that they provided us with (-6,-19). The -6 is the x and the -19 will be the y. Now let's plug in and solve.

y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5

<em>      Writing the equation:</em>

Now we know all the information needed to write the equation.

y=mx+b\\m=4\\b=5

Now we just fill it in the formula...

y=4x+5

<em><u>Question 3:</u></em>

For a parallel equation the slope will be the same in order for them to be parallel to each other.

<em>      Finding the y-intercept:</em>

For the y-intercept we need to plug in what we know into this formula....y=mx+b

We know the slope is -\frac{1}{4} and we could use the ordered pair that they provided us with (-8,6). The -8 is the x and the 6 will be the y. Now let's plug in and solve.

y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4

<em>      Writing the equation:</em>

Now we know all the information needed to write the equation.

m=-\frac{1}{4}\\b=4

Now we just fill it in the formula...

y=-\frac{1}{4}x+4

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SSS means side-side-side

Step-by-step

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3 years ago
Jessica baked 3p cookies. Alex baked twice as many cookies as Jessica. Sarah baked 10 fewer cookies than Jessica. Find the total
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Answer:

B) 12p - 10

Step-by-step explanation:

J = 3p

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add together:

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3 0
3 years ago
An employer has a staff of eighty actuaries, ten of whom are student actuaries. A student actuary is allowed a total of ten week
sergiy2304 [10]

Answer:

0.1111

Step-by-step explanation:

From the given information;

Number of staffs in the actuary = 80

Out of the 80, 10 are students.

i.e.

P(student actuary) = 10/80 = 0.125

number of weeks in a year = 52

off time per year = 10/52 = 0.1923

P(at work || student actuary) = (50 -10/52)

= 42/52

= 0.8077

P(non student actuary) = (80 -10)/80

= 70 / 80

= 0.875

For a non-student, they are only eligible to 4 weeks off in a year

i.e.

P(at work | non student) = (52-4)/52

= 48/52

= 0.9231

∴

P(at work) = P(student actuary) × P(at work || student actuary) + P(non student actuary) × P(at work || non studnet actuary)

P(at work) =  (0.125 × 0.8077) + ( 0.875 × 0.9231)

P(at work) = 0.1009625 + 0.8077125

P(at work) = 0.90868

Finally, the P(he is a student) = (P(student actuary) × P(at work || student actuary) ) ÷ P(at work)

P(he is a student) = (0.125 × 0.8077) ÷ 0.90868

P(he is a student) = 0.1009625 ÷ 0.90868

P(he is a student) = 0.1111

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3 years ago
In the diagram, AB = 10 and AC = 2/10. What is the
Mekhanik [1.2K]
Answer:
D.20 + 2/10 units

Step-by-step Explanation:
Perimeter is the distance all round a figure.
AB = 10. This is given in the question
AC = √((3-5)²+(4--2)²
= √(4+36)
=√40 = 6.32 units
BC = 5 - -5 = 10 units

Perimeter = AB+AC+BC
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= 26.32 units
From the choices, we do not have an exact answer. The one that mosts suits the perimeter is 20 + units.
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2 years ago
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