What is a line graph

Answers

Answer 1

Answer:

A graph in which points representing values of a variable for suitable values of an independent variable are connected by a broken line.

Example attached!

Answer 2

Answer: A line chart or line graph is a type of chart which displays information as a series of data points called 'markers' connected by straight line segments.

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The area of a rectangular room is 750 square feet. the width of the room is 5 feet less than the length of the room. which equations can be used to solve for y, the length of the room?

Answers

Answer:

Width=25 ft and length=30 ft

Step-by-step explanation:

In order to find the answer let's remember that the area (A) of a rectangle is:

$A=width*length$

Let's assume that the length of the room is 'X' feet.

Becuase the problem mentioned that the width (Y) of the room is 5 feet less than the length, then:

$Y=X-5$

Now, using the area equation we have:

A=width*length

$750=X*Y$ but using the width expression we have:

$750=X*(X-5)$

$0=X^2-5X-750$

Using the root's equation we have:

$X=\frac{-b\±\sqrt{b^(2)-4ac}}{2a}$

$X=\frac{-(-5)\±\sqrt{(-5)^(2)-(4*1*(-750)}}{2*1}$

$X1=30$

$X1=-25$

Because the length (X) can't be negative, then length=30 feet. In order to find the width we have:

$Y=X-5$

$Y=30-5$

$Y=25$

So the width is 25 feet.

In conclusion the room has a width=25 ft and length=30 ft.

I hope this helps you

Peter says, "If you subtract 14 from my number and multiply the difference by - 6, the result is - 90." What is Peter's number? Peter's number is

Answers

Translating the phrases into algebraic equation, peter's number would be: 29.

Representing Word Problems with Algebraic Expressions

Let the unknown value be variable x, then translate the phrases given into algebraic expressions and solve for the unknown variable.

Let Peters number be x

Therefore:

-6(x - 14) = -90

Solve for x

-6x + 84 = -90

-6x = -90 - 84

-6x = -174

Divide both sides by -6

x = 29

Therefore, translating the phrases into algebraic equation, peter's number would be: 29.

Learn more about algebraic equation on:

brainly.com/question/2164351

Answer:

Step-by-step explanation:

i think this is helpful

A knitting shop orders yarn from three suppliers in Toronto, Montreal, and Ottawa. One month the shop ordered a total of 108 units of yarn from these suppliers. The delivery costs were $78, $53, and $66 per unit for the orders from Toronto, Montreal, and Ottawa, respectively, with total delivery costs of $6826. The shop ordered the same amount from Toronto and Ottawa. How many units were ordered from each supplier?

Answers

All you need to do is add them all together witch is basic addition

Describe this pattern. Then see if you can think of another Pythagorean triple that doesn't follow the pattern you just described and that can't be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings. x-value Pythagorean Triple 7 (14,48,50) 8 (16,63,65) 9 (18,80,82) 10 (20,99,101)

Answers

Answer:

See explanation

Step-by-step explanation:

A Pythagorean triple is a set of 3 positive integer numbers, a, b, and c which satisfies the Pythagorean theorem: $c^2=a^2+b^2$

Given the identity: $(x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2.$

We verify that the numbers given table are Pythagorean triples.

$14^2+48^2=2500=50^2\n16^2+63^2=4225=65^2\n18^2+80^2=6724=82^2\n20^2+99^2=10201=101^2$

Next, we examine the pattern:

$\left|\begin{array}{c|c|c|c|c}x-value&x^2-1&2x&x^2 + 1&$Triple\n--&--&--&--&----\n7&48&14&50&(14,48,50)\n8&63&16&65&(16,63,65)\n9&80&18&82&(18,80,82)\n10&99&20&101&(20,99,101)\end{array}\right|$

From the pattern, our first number is 2x, the second number is x² - 1, and the third number(hypotenuse) is x² + 1

Next, we show that (x² - 1)² + (2x)² = (x² + 1)² is an identity

$LHS: (x^2 - 1)^2 + (2x)^2 \n= (x^2-1)(x^2-1)+2x^2\n=x^4-2x^2+1+4x^2\n=x^4+2x^2+1$

$RHS: (x^2+1)^2\n= (x^2+1) (x^2+1)\n=x^4+2x^2+1$

Since Left Hand Side=Right hand Side. For all x, the equation is always true.

Therefore, the pattern is true for any Pythagorean triple.

What are the Square numbers

Answers

Answer: A square number is another way of saying a perfect square. Any integer that has an integer as its square root is a square number.

For instance, 9 is a square number because its square root is 3, and 49 also is a square number because its square root is 7.

A number such as 108 is not a square number because its square root is 10.39 which is not an integer.

Step-by-step explanation:

Find the upper bonds for the following lengths : a) 40cm measured to the nearest cmB)82.8cm measured to the nearest tenth of a cm

Answers

Answer: a= 40.5 b= 82.85

Step-by-step explanation:

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4 An alloy is a mixture of metals. Most of the gold used in jewellery is an alloy of pure gold and other metals which are added to make the gold harder. Pure gold is 24 carats (ct), so 18 carat parts pure gold 18 gold is an alloy of gold and other metals in the ratio 18:6. In other words, 18/24 parts pure gold and 6/24 other metals. a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add? b . An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain? c. What is the ratio of gold to other metals in 14 ct gold? d. What is the ratio of gold to other metals in 9 ct gold?

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