f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k

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Explanation:

Let point N be at the intersection of the horizontal line and segment JM.

We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.

In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.

So,

JM = JN + NM

JM = NM + NM

JM = 2*NM

JM = 2*7.1

JM = 14.2

Answer:

JM = 14.2

Step-by-step explanation:

Given JK = MK then Δ JKM is isosceles.

The line through K is a perpendicular bisector of JM , so

JM = 2 × 7.1 = 14.2

Answer:

x+1

Step-by-step explanation:

4x - 1 + (-3x) + 2 = x + 1

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

Using the distributive law;

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: https://brainly.com/question/6958503

Answer:

Not Step-by-step explanation:

Not enough info

Answer:

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

270/30=9

Answer: 10

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10

Answer:

  50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

  1/2 in = 100 mi

  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

  1/4 in = 50 mi

Answer:

45 kg of apple juice

Step-by-step explanation:

Divide 25% by 10%

The answer you get multiply it by 30

Take the answer you get subtract the 30 kg

Answer:

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

for (x+1) < 0

  y = -7.5(x +1) -5 = -7.5x -12.5

for (x+1) ≥ 0

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  [tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

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Answer:

256 fluid ounces

Step-by-step explanation:

2 gallons = 8 quarts

8 quarts = 16 pints

16 pints = 32 cups

32 cups = 256 fluid ounces

Answer:

No

Step-by-step explanation:

Use the formula, difference/original. The difference is 8%. The original is 72%.

The equation would be: 8/72

Which is 1/9

1/9 = 11.1%

So he made a mistake of 11%

Answer:

Use 1.75 cups of blue and 1 cup of yellow

Step-by-step explanation:

The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.

I hope this helps have a great day :)

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

Answer:

thankss

Step-by-step explanation:

Answer:

This is what i got

Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.

Step-by-step explanation:

To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].

This means to rise up ___ amount of numbers and run __ amount of numbers.

Rise is moving along y, and x is moving along x.

-Additional info:

-------------

#TeamTrees #TeamSeas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

The sketch of the locus AP = BP  shows an equal distance between AP and BP which can be seen in the image attached below.

A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.

A locus is a point that satisfies a constraint on the square of the distances between two lines.

The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.

Learn more about plane figures here:

https://brainly.com/question/20475473

Answer:

1,250,000

Step-by-step explanation:

875,000 sandals account for 70% of the total pairs sold.

875,000/7 = 125,000

125,000 accounts for 10%.

125,000 * 10 = 1,250,000.

1,250,000 accounts for 100%.

The company sells pairs of shoes in June is 612,500

In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.

Given that,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

We have to determine,

How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?

According to the question,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

Then,

The shoes did the company sell in June is,

[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]

Hence, The company's sells pair of shoes in June is 612,500.

For more details refer to the link given below.

https://brainly.com/question/9351049

Answer:

16

Step-by-step explanation:

Divide 640 by 40.

[tex]640 = x \times 10 \times 4[/tex]

[tex]640 = 40x[/tex]

Divide both sides by 40

[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]

[tex]x = 16[/tex]

Thus the height would be 16 feet .

Answer:

6:7

Step-by-step explanation:

=store A:store B

=150:175

=6:7

Answer:

1/2

Step-by-step explanation:

becase 1(0,0) 2(2,1) = 1/2

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]

[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]

Answer:

Step-by-step explanation:

Answer:

−2−5

Step-by-step explanation:

(-3x+4)+(x-9)

−3x+4+x−9

Subtract

−3x+4+x−9

-3−5+

Combine terms

−3x−5+x

−2−5

Step-by-step explanation:

the slower truck travels x miles in 5 hours.

the faster truck travels x + 5×2 = x + 10 miles in 5 hours.

so,

x + x + 10 = 315 miles

2x = 305 miles

x = 152.5 miles (in 5 hours)

therefore, the slower truck's speed was 30.5 mph.

the faster truck's speed was 30.5 + 2 = 32.5 mph.