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3 years ago

Find the x- and y-intercepts of each line and write the equation in standard form. y=-4/3x+6

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

Answer:

Standard form: $4x + 3y = 18$

x-intercept: $(\frac{9}{2} ,0)$

y-intercept: $(0,6)$

Graphed:

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Solve for b. 12 = 18 + 6b

Maslowich

Step-by-step explanation:

Step 1: Subtract 18 from both sides

$12 = 18 + 6b$

$12 - 18 = 18 - 18 + 6b$

$-6 = 6b$

Step 2: Divide both sides by 6

$-6 / 6 = 6b / 6$

$-1 = b$

Answer: $b = -1$

5 0

4 years ago

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A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimet

r-ruslan [8.4K]

Answer:

The area of the composite figure is 392.12 $cm^{2}$ .

Step-by-step explanation:

The area of the composite figure = area of trapezoid + area of rectangle

Area of trapezium = $\frac{1}{2}$ ( a +b)h

Where: a is the length of the first base, b the length of the second base and h is the height of the trapzium.

Applying Pythagoras theorem, the height, h, is;

h = $\sqrt{5^{2} - 1^{2} }$

= $\sqrt{24}$

h = 2 $\sqrt{6}$

Area of trapezium = $\frac{1}{2}$ ( a +b)h

= $\frac{1}{2}$ (13 + 12) × 2 $\sqrt{6}$

= 156 $\sqrt{6}$

= 382.12 $cm^{2}$

Area of trapezium is 382.12 $cm^{2}$

Area of rectangle = length × width

= 5 × 2

= 10 $cm^{2}$

Area of rectangle = 10 $cm^{2}$

Therefore,

area of the composite figure = 382.12 + 10

= 392.12 $cm^{2}$

8 0

3 years ago

PLEASE HELP!!! Which rule explains why these scalene triangles are similar

olchik [2.2K]

Answer: Ratio of Parts

Step-by-step explanation:

$\text{Ratio of sides:}\ \dfrac{ST}{WS+ST}=\dfrac{66}{6+66}=\dfrac{66}{72}=\dfrac{11}{12}\\\\\\\text{Ratio of bases:}\ \dfrac{TU}{TU+UV}=\dfrac{44}{44+4}=\dfrac{44}{48}=\dfrac{11}{12}\\\\$

The ratios are equal so the triangles are similar.

7 0

3 years ago

A music store gives every 20th costumer a 5$ gift card.Every 50th customer gets a 10$ gift card. Which customer will be the firs

prisoha [69]

Answer:

100th customer is the first desired customer who received both the gift cards.

Step-by-step explanation:

$5 gift card is received by every 20th Customer.

⇒ The customers who receive this $5 card are:

20th Customer, 40th Customer , 60th Customer , 80th Customer, 100th Customer, 120th Customer .... and so on

Also, $10 gift card is received by every 50th Customer.

⇒ The customers who receive this $10 gift are:

50th Customer, 100th Customer , 150th Customer , 200th Customer ......

Among all the customers the 100th customer is the first customer who receives $5 gift card as well as the $10 gift card.

Hence, 100th customer is the first desired customer who received both the gift cards.

6 0

3 years ago

Heather is filling her new Koi pond with a water hose. After 33 minutes, her pond has 74 gallons water. Her Koi pond holds 480 g

Ulleksa [173]

Initial flow rate: 74 gallons/33 minutes = 2.24 gallons/minute

Addtiional flow rate: 2*74/33 = 4.48 gallons/minute

Total new rate: 3*74/33 = 6.72 gallons/minute

The answer is the option C) 6.7

7 0

3 years ago

Read 2 more answers