Write an equation for the line that passes through the given point and is parallel to the
graph of the given equation. Write your final equation in slope-intercept form.
2. 3x + 4y = 12; (-4,7)

Answer:

x > 83 / 3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x+5>88

Step 1: Subtract 5 from both sides.

3x+5−5>88−5

3x>83

Step 2: Divide both sides by 3.

3x/3 > 83/3

x > 83/3

Let the smallest angle in a triangle be = x

Largest angle in a triangle = 55 + x

The middle angle in a triangle = 3x ( triple the measure of the smallest angle )

Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )

This can be written as :

= x + 55 + × + 3x = 180

Let us find each angle by solving the equation .

= x + 55 + x + 3x = 180°

= x + x + 3x + 55 = 180°

= 5x + 55 = 180°

= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )

= 5x = 125

= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 25

Using this let us find the measure of each angle .

Smallest angle = x = 25

Smallest angle = 25°

Middle angle = 3x = 3 × 25 = 75

Middle angle = 75°

The largest angle = x + 55 = 25 + 55 = 80

Largest angle = 80°

Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .

We have that the measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

From the question we are told that:

The measure of the middle angle  is triple the measure of the smallest angle

The measure of the largest angle is 55° greater  than the measure of the smallest angle

Let

[tex]\theta_1=Largest\ angle[/tex]

[tex]\theta_2=Middle\ angle[/tex]

[tex]\theta_3=Smallest\ angle[/tex]

Therefore

[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]

Generally, the equation for the angle of a triangle is mathematically given by

[tex]\theta_1+\theta_2+\theta_3=180[/tex]

Therefore

[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]

[tex]\theta_3=25 \textdegree[/tex]

Therefore

Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]

For [tex]\theta_1[/tex]

[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]

For [tex]\theta_2[/tex]

[tex]\theta_2=3*\theta_3[/tex]

[tex]\theta_2=3*25 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

in conclusion

The measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

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Answer:

C,B,D,A,D

Step-by-step explanation:

Answer:

should be 1

Step-by-step explanation:

its constant meaning its an exact slope

and it runs through intersections every 1-1

so the answer is 1 because 1 over 1 in a fraction is still 1

the slope is positive because as you move to the right, the graph goes up

the slope is rise/run = 3/3 = 1

the slope of the line is 1

hope this helps!

Answer:

$45

Step-by-step explanation:

ratio is 3:5

David gets 3x, Jack gets 5x

So, 3x+5x=120

8x=120

x=15

David got 3x = 3*15 = $45

Answer:

45$

Step-by-step explanation:

120/8=15

15*3=45

because it is 3:5 ratio

Answer:

y=2x-15

Step-by-step explanation:

In parallel lines the gradient is always the same. then we sub the coordinates in to find c.

so

1=2(8)+c

c equals to -15 t

then

y=2x-15

Answer:

(3a +6b) (9a² - 18ab + 36b²)

Step-by-step explanation:

27 = 3 * 3 * 3 = 3³

216 = 6 * 6 * 6 = 6³

a³ + b³ = (a + b)(a² - ab + b²)

27a³ + 216b³ = (3a)³ + (6b)³

                      = (3a + 6b)( (3a)² - 3a*6b + (6b)² )

                      = (3a +6b) (9a² - 18ab + 36b²)

Given:

[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]

To find:

The values of R, P and Q.

Solution:

We have,

[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]

On combining like terms, we get

[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]

[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]

On comparing the coefficients of [tex]x^4[/tex], we get

[tex]R-4=3[/tex]

[tex]R=3+4[/tex]

[tex]R=7[/tex]

On comparing the coefficients of [tex]x^2[/tex], we get

[tex]P=9[/tex]

on comparing the constants, we get

[tex]Q-5=7[/tex]

[tex]Q=7+5[/tex]

[tex]Q=12[/tex]

Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]

Since we are dividing by a fraction, we switch [tex]\frac{1}{2}[/tex] to it's reciprocal.

Doing that would make it [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{1}[/tex]. In other words, that is [tex]\frac{3}{4}[/tex] x [tex]2[/tex].

We can use cross multiplying to simplify/solve for it.

(Look at the image to see the cross multiplying).

Therefore, the answer is [tex]\frac{3}{2}[/tex].

Answer:

1. 3 hours

2. i cant figure this one out

Step-by-step explanation:

Answer:

Haha

Step-by-step explanation:

ghgewucjbauierfyucierh kjaluchliaucwa bb

wrgwrgweg

ttrtrtttgb

trbtgrbgttr

bheetbg

etbnhtehg

bertertgetfhjgeyfguiwrehodvqeiir

rgeyshudfvr8ov

Answer:

The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides

Let us solve the problem

∵ The lengths of the sides of a triangle are:

∵ The perimeter of the triangle = sum of lengths of its sides

∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)

→ Add the like terms

∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)

→ Remember (+)(-) = (-)

∴ The perimeter = (3.5x - 3.4x) + (9 - 25)

∴ The perimeter = 0.1x + -16

∴ The perimeter = 0.1x - 16

The expression of the perimeter of the triangle is 0.1x - 16

Answer:

C.

Step-by-step explanation:

0.1x − 16

Answer:

I like yo cut gggggggggggg

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

Answer: 48

Step 1: Find how much 12 is of 48.

12 = 1/4 of 48

Step 2: Multiply 12 by 3 for 3/4.

12 x 3 = 36.

Step 3: Add the numbers.

12 + 36 = 48

Answer = 48

Approximately, 48 hot dogs did he eat during the 12-minute contest.

One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.

As a result, Takeru Kobayashi broke the record for eating the hottest dogs in a 12-minute period.

Since,

In the first three minutes, he consumed 12 hot dogs.

in three minutes, he ate = 12 hot dogs

in 1 minute, he ate = 12/3

in 1 minute, he ate = 4

So,

in 12 minutes, the total number of hot dogs he ate = 4*12

in 12 minutes, the total number of hot dogs he ate = was 48

therefore, Approximately, 48 hot dogs did he eat during the 12-minute contest.

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Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

Answer: 2/10 is larger

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

set them up as a fraction.

21/49=x/56

cross multiply: 21*56=49x

1176=49x

divide both sides by 49

x=24

Answer:

28

Step-by-step explanation:

notice that when x=21 thats 3x7=21  

then when y=49  thats 7x7  

so when y=56  that's 8x7

notice there is a patter of 7 being used?   there are probably a lot of other patterns that would also work.. but.  if your class is working on multiplying by 7 , then this is probably the right pattern.  

from the above pattern, then,

x=4x7 when y=56

x=28

Answer:

A) likely

Step-by-step explanation:

It is likely that the toast will land with the honey side facing down. This is because if we find the percentage of chance/probability of the honey side facing down using the data provided it would be the following...

8 / 40 = 0.20 .... times 100 to find percentage value

0.20 * 100 = 20%

We see that there is a 20% that the honey side will land facing down every time that you drop the piece of toast. This means that there is an 80% chance that the honey side will land facing down which is ultimately a high probability and a very likely chance of it happening.

Answer:

It is likely, I got it right on the test.

Step-by-step explanation:

Answer:

∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles

∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles

∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles

∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles

sry i dont  know which are the consecutive exterior angles

but i hope you understood

<2 and <13 are alternate interior angles

Reason: At the opposite sides of the transversal and fall between

<4 and < 11 are co-interior angles

Reason: Same side of the transversal and fall between the two parallel lines

<1 and <16 do not have any direct relationship

<3 and <12 are co-exterior angles

Reason: Same side of the transversal but each of them are outside the  parallel lines

<3 and <5 are co-interior angles

Reason: Same side of the transversal and fall between the two parallel lines

<14 and 16 are corresponding angles

Reason: They are at corresponding sides of the parallel lines to the transversal

<1 and <3 are corresponding angles

Reason: They are at corresponding sides of the parallel lines to the transversal

<5 and <10 are alternating exterior angles

Reason: Alternate side of the transversal but each of them are outside the  parallel lines

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Answer: a distribution with a known shape and other properties.

Step-by-step explanation: 10 dice rolled 1000 times

Answer:is below

Step-by-step explanation:

10 dice rolled 100 times

Answer:

c. 5 units left and 3 units up

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.

If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)

The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up

Answer:

$0.05 per day

Step-by-step explanation:

So we know that the initial late fee would be $0.50. For every additional day, the fee increases by $0.05. The rate of change would be the rate at which the cost of the fee changes.

Note, the initial value does not affect the rate of change.

The initial late fee of $0.50 would not affect the rate of change, so we can ignore that piece of information.

Since the fee increases by $0.05 daily, $0.05 per day would be the rate of change.

I hope this helps.

Answer:

X= 13/6

and in decimal form:  x=2.16repeated

Answer:

67

Step-by-step explanation:

Answer:

3x² - 8x - 3y

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(7,,1) and Q(5,7)

We have

[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]

We have the final answer as

Hope this helps you

Answer:

PQ=1.4 I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the expression for the amount of gas in the tank is given as

g = 5t + 4

we already know that g=14 which is the capacity of the tank

so let us put g=14 we have

14=5t+4

solving for t, which is the time taken to fill up the tank that already has 4 gal already we have

14=5t+4

14-4=5t

10=5t

t=10/5

t=2min

Therefore the time taken to fill the tank is 2minutes

Answer:

It was 3

Step-by-step explanation:

This is because its the one clóset to 0

I hope this help you out

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(Blue)=\dfrac{x}{15}[/tex]

It is given that,

[tex]P(Green)=\dfrac{1}{5}[/tex]

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,

[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]

[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]

[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]

Multiply both sides by 75.

[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]

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

[tex]x=6[/tex]

Therefore, the number of blue marbles in the bag is 6.