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MAXImum [283]
3 years ago
6

Evaluate and match each expression on the left to its value on the right, when x=4 and y=7 .

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Step-by-step explanation:

a. 12 + 4 = 16

1st left equation is matched to 4th right value

b. 3(4) + 7 = 19

2nd left equation is correctly matched to 2nd right value

c. 4(7) - 10 = 18

3rd left equation is matched to 1st right value

d. 1 / 2 × xy

1 / 2 × (4 × 7)

= 28 ÷ 2

= 14

4th left equation is matched to 3rd right value

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Consider the line shown on the graph. Enter the
Semenov [28]

<h2>Solution -</h2>

From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.

So, slope of the line (m) passing through the points (a, b) and (c, d) is

m = d - b/ c - a

<h3>So, on substituting the values, we get </h3>

m = 4 - 3 / 1 - 0 = 1/1 = 1

Also, line makes an intercept of 3 units in positive direction of y - axis.

So, c = 3

<h3>So, Equation of line is given by</h3>

y = mx + c

y = 1 × x + 3

<h3>y = x + 3</h3>

<h3>Alternative Method :-</h3>

We know, Equation of line passing through the points (a,b) and (c, d) is given by

y - b = d - b / c - a (x - a)

<h3>Here,</h3>

a = 0

b = 3

c = 1

d = 4

<h3>So, on substituting these values in above result, we get :-</h3>

y - 3 = 4 - 3 /1 - 0 ( x - 0 )

y - 3 = 1/1 ( x - 0 )

y - 3 = x

<h3>y = x + 3</h3>

<h3>Different forms of equations of a straight line :-</h3>

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

<h3>2. Point-slope form equation of line</h3>

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

<h3>3. Slope-intercept form equation of line</h3>

Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

<h3>4. Intercept Form of Line</h3>

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

<h3>5. Normal form of Line</h3>

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.

<h2 />

8 0
2 years ago
¾ is considered a real and rational number. true or false?
allochka39001 [22]
IT is True. 
<span>¾ is considered a  real number</span>
3 0
3 years ago
Read 2 more answers
Here is an equilateral triangle. The length of each side is units. A height is drawn. In an equilateral triangle, a line drawn f
Temka [501]

1. Height of the equilateral triangle is: √3 units

2. Area of the equilateral triangle = √3 units²

3. Area = √3/4 x², when each side is x.

<h3>What is an Equilateral Triangle?</h3>

A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.

1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:

h = √(2² - 1²)

h = √(4 - 1)

h = √3

2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)

Area of the equilateral triangle = √3 units²

3. If x is the side length of the equilateral triangle, we would have:

height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x

Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²

Learn more about equilateral triangle on:

brainly.com/question/15294703

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3 0
2 years ago
An English class attended a performance at the theater. The class took 25 students and 3 adults. Each student ticket, s, cost $3
Mashcka [7]

Answer:

A or d to narrow it down

Step-by-step explanation:

Hopefully you can figure out which one I am sorry.

7 0
3 years ago
I think it’s b but I may be wrong
leonid [27]

Answer:

D, not B

Step-by-step explanation:

So using Pythagorean Theorem:

C^{2} =A^{2} +B^{2} \\x^{2} =144+265\\x^{2} =400\\x=20

Yep, It's not B, But D.

Hope this helps!

Stay Safe!

6 0
3 years ago
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