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ehidna [41]
3 years ago
13

Question 23 geometry

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0
SAS is one of the answers
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Which linear inequality is represented by the graph?
WARRIOR [948]

Step 1

<u>Find the slope of the line</u>

Let

A(0,1)\\B(2,5)

the slope is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{5-1}{2-0}

m=\frac{4}{2}

m=2

Find the equation of the line

we know that

the equation of the line into slope-intercept form is

y=mx+b

where

m is the slope

b is the y-intercept

in this problem we have

m=2

b=1 ------> the y-intercept is the point A

substitute

y=2x+1

Step 2

<u>Find the equation of the inequality</u>

we know that

the solution is the shaded area above the dotted line

so

above dotted line---------> represent the symbol (>)

the inequality is

y>2x+1

therefore

<u>the answer is</u>

y>2x+1

6 0
4 years ago
Read 2 more answers
Which two integers would make each true?
EastWind [94]
This problem could be set up algebraically or you could use trial and error.
a) 9 and 4 (9 + 4 = 13, 9 * 4 = 36 and 36 - 23 = 13)
I won't give you the rest of the answers, but the second and third ones have to add together to equal a negative number and multiply to equal a positive number. I hope this helps some.
7 0
4 years ago
Find two numbers that have a sum of 77.95 and a difference of 30.61
Alina [70]
<span>If you would like to know the values of these two numbers, you can calculate this using the following steps:<span>

a + b = 77.95
a - b = </span></span>30.61 ... a = 30.61 + b
________<span>_______________
a + b = 77.95
(30.61 + b) + b = 77.95
30.61 + 2 * b = 77.95
2 * b = 77.95 - 30.61
2 * b = 47.34    /2
b = </span>47.34<span> / 2
b = 23.67

a = </span>30.61 + b = 30.61 + 23.67<span> = 54.28

Result: The numbers are </span>23.67<span> and 54.28.</span>
3 0
4 years ago
Which point of concurrency is always on the vertex of a right triangle
den301095 [7]

Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!

Step-by-step explanation:

8 0
3 years ago
a bathtub is filled with 38 1/3 gallons of water. if 2 3/5 gallons splash out, how much water is left in the tub?
PilotLPTM [1.2K]

Answer:

3/5^3

3/5^3 = 27

125

= 0.216

Step-by-step explanation:

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction

BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

8 0
3 years ago
Read 2 more answers
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