3. Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation. Show your work. (1, -3) y = - 4x - 1 Answer:



HELPP​

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

9514 1404 393

Answer:

  7317192329

Step-by-step explanation:

The first 10 primes are ...

  2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...

  7317192329

_____

The digits deleted are those in bold in the list of primes.

Answer:

Step-by-step explanation:

hope it helps

Answer:

10 cups

Step-by-step explanation:

we can set up a proportion of cups of water over cups of apple juice

2/3 = w/15

if you cross-multiply you will get:

3w = 30

w = 30/3

w = 10

Answer:

9 did not hit the bulls eye

Step-by-step explanation:

If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye

15 * 60%

15 *.6

9

9 did not hit the bulls eye

Answer:

Therefore, 9 darts did not hit the bull's-eye.

Step-by-step explanation:

Equivalent ratio states that the two ratios are express the same relationship between numbers

As per the given statement: Curtis threw 15 darts at a dashboard.

40% of his darts hit the bull's eye

then;

60 % of his darts did not hit the bull's eyes.

By definition of equivalent ratio;

x/15= 600/100

Multiply both sides by 15 we have;

x= 60/100 *15= 60*15/100= 900/100=  9 Darts

Answer:

this statement is true because then the triangles will be congruent by rhs axiom

Answer: 100

Step-by-step explanation:

Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:

7.638 × n = 763.8

7.638n = 763.8

Divide both side by 7.638

7.638n/7.638 = 763.8/7.638

n = 100

Therefore, n = 100 will make the equation true.

I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that

b = c₁ v₁ + c₂ v₂   ==>   (7, 4, -3) = c₁ (1, 2, -5) + c₂ (2, 5, 6)

This gives the system of equations,

c₁ + 2c₂ = 7

2c₁ + 5c₂ = 4

-5c₁ + 6c₂ = -3

which has no solution, since

-2 (c₁ + 2c₂) + (2c₁ + 5c₂) = -2(7) + 4   ==>   c₂ = -10

but substituting this into any two equations in the system gives contradictory results. For instance,

c₁ + 2c₂ = c₁ - 20 = 7   ==>   c₁ = 27

2c₁ + 5c₂ = 2c₁ - 50 = 4   ==>   c₁ = 27

-5c₁ + 6c₂ = -5c₁ - 60 = -3   ==>   c₁ = -57/5

This means that b is not a linear combination of v₁ and v₂.

Answer:

answer in picture
c, b, d

Step-by-step explanation:

Answer:

275.15

Step-by-step explanation:

312.67 * 12% = 37.52

312.67 - 37.52 = $275.15

Answer:

750

Step-by-step explanation:

I=Prt

I= 2500*0.03*10

I=750

9514 1404 393

Answer:

  $7571.20

Step-by-step explanation:

Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...

  $7000 × 1.04 × 1.04 = $7571.20

_____

Additional comment

The repeated multiplication is usually indicated with an exponent:

  $7000×1.04²

Answer:

-136

Step-by-step explanation:

Given :

-17(|8|)

Mod of positive number is positive

So, |8|=8

-17(8)

=-136

Therefore,-17 mod 8 is -136

Answer:

P(t) = - 60t + 4720

3580

Step-by-step explanation:

Given :

m = (y2 - y1)/(x2 - x1)

m = (4250 - 4600) / (8 - 2)

m = - 360 / 6

m = - 60

Using the point slope relation :

y - y1 = m(x - x1)

y - 4600 = - 60(x - 2)

y - 4600 = - 60x + 120

y - 4600 + 4600 = - 60x + 120 + 4600

y = - 60x + 4720

P(t) = - 60t + 4720

To predict population in 2009 :

2009 - 1990 = 19 years

Put t = 19

P(19) = - 60(19) + 4720

P(19) = - 1140 + 4720

P(19) = 3580

Answer:

[tex] {( {x}^{ \frac{1}{2} }. {y}^{ - \frac{1}{4} } .z) }^{ - 2} \\ = (x. {y}^{ - \frac{1}{2} } . {z}^{ - 2} )[/tex]

Answer:

C

[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]

The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as  

48 = V2 -2 -2 -2 - 3 = 4V3

Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.

We require to express 48 as the product of its prime factors as 48.

= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.

Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]

[tex]$=4 \sqrt{3}$[/tex]

[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.

Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.

To learn more about Prime Factorization

https://brainly.com/question/24612438

#SPJ2

Answer:

a) G

b) C

Step-by-step explanation:

Triangle A is congruent to triangle G

Triangle D is congruent to Triangle C

Answer:

b = 55

Step-by-step explanation:

The two angles add to 90 degrees

b+35 = 90

Subtract 35 from each side

b +35-35 = 90-35

b = 55

Answer:

90-35=55

Answer is D

Step-by-step explanation:

As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:

90-35=b

90-35=55

55=b

Answer:

She earned 1500 in interest

Step-by-step explanation:

10,000 × 0.03 × 5 = 1500

Your welcome :)

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro

Answer:

Ifa,bandcare the

sides opposite to anglesA,B,&C.

By Cosine Rule,

b  

2

=32  

2

+46  

2

−(2×32×46cos140°)

b  

2

=1024+2116−2944cos140°

b  

2

=3140−2944cos140°

b  

2

=3140+2255.234841

b  

2

=5395.234841

b=73.45

By Sine Rule,

sinC

32

​

=  

sin140°

73.45

​

sinC=  

73.45

32sin140°

​

sinC=0.2800

C=16.26°

The direction of the resultant

vector is measured from0°east

to the resultant, this angle isθ−90°,

90°is the total angle in

the first quadrant.

∴θ−90°=C+ϕ

ϕ=50°{Alternate angles are equal}

∴The direction of the car’s

resultant vector is50°+16.26°=66.26°south of east

Step-by-step explanation:

Answer:

He or she has 232,840,800 beats in five minutes.

Step-by-step explanation:

This question is solved by proportions.

In this question:

A year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in five years:

5*365*24*60 = 2,628,000 minutes.

How many beats in five minutes?

88.6 beats/min, 2,628,000 minutes. So the number of bears is:

88.6*2628000 = 232,840,800

He or she has 232,840,800 beats in five minutes.

Answer:

A.

[tex] = > \: 2 \times {10}^{ - 3} [/tex]

Answer:

traducir mi respuesta al español si es necesario

1/8

Step-by-step explanation:

lets start with the basics 1/2 of 3/4 to do it we multiply the fractions

1        3         3

    x  

2        4           8

the answer to that problem was 3/8 if u still dont understand multiplying fractions you can look it up and put on spanish subtitles

now to find 1/3 of 3/8 we do the same thing

1       3

    x

3       8        

we get 3/24 we can make the number smaller by reducing it. you can look up a video on reducing

Answer:

15

Step-by-step explanation:

135 divided by 9 = 15

Answer:14 boxes per minute.

Step-by-step explanation:

This is a simple equation.

84/6 = 14 boxes per minute.

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

Answer:

Some unexpected expenses I have had were Pet Emergencies with my dog

or Major Auto Repairs if my car gets in an accident or home repairs if my child writes on the wall or breaks a whole in it. I dealt with them by selling stuff that I dont use to pay it off. Some expenses I might face in the next 5 years would be Medical emergencies for my family just incase anything were to happen to them