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guajiro [1.7K]
2 years ago
10

Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows

the solution to the system of equations and explains why? (1 point) a (−3, −5), because the point does not lie on any axis b (−3, −5), because the point satisfies both equations c (−4, −8), because the point satisfies one of the equations d (−4, −8), because the point lies between the two axes
Mathematics
1 answer:
gavmur [86]2 years ago
6 0

The solution to the system of equations is (-3, -5) because the point satisfies both equations

<h3>What is a linear function?</h3>

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

Line A:

y = x − 2  (1)

Line B:

y = 3x + 4   (2)

Solving both equations simultaneously gives:

x = -3, y = -5

The solution to the system of equations is (-3, -5) because the point satisfies both equations

Find out more on linear function at: brainly.com/question/4025726

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kvasek [131]
The median tell you how many you have in common.
3 0
3 years ago
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A line passing through the .1, 7 has a slope of -8 write an equation in point slope form for this line
Xelga [282]

Answer:

y - 7 = -8(x - 1)

Step-by-step explanation:

We are provided with some information

We are given point (1,7)

Slope = -8

Using a point slope form formula

y - y_1 = m (x - x_1)

m = -8

y_1 = 7

x_1 = 1

Inserting the given values into the equation

y - y_1 = m ( x - x_1)

y - 7 = -8 ( x - 1) ( point slope form)

Don't confuse slope intercept form with point slope form

Slope intercept form

y = mx + C

y - point y

m - slope

x - point x

C - intercept

Point slope form

y - y_1 = m(x - x_1)

3 0
3 years ago
Carols flower bed is a rectangle that is 10 feet long and 6 feet wide she wants to cut scale the same but make the length of 4 f
Natali [406]

Answer:

Carol can't do that because 10 x (6-4)= 20, not 60, the original area.

                                                        (2)

Step-by-step explanation:

10 x 6 = 60, while 10 x 2 = 20 (6-4=2)

Hope this helped!

6 0
3 years ago
Read 2 more answers
A. Write the formula for the area A of a trapezoid. Use b1 and b2 for the lengths of the bases, and use h for the height.
lesya692 [45]

Answer:

(a) The formula for the area A of a trapezoid

                 A = \frac{1}{2}(b_{1}+ b_{2})h

(b) Solve the formula for h

                 h = \frac{2A}{b_{1}+b_{2}}

(c) Find the height h of the trapezoid

     The height h of the trapezoid is 6 cm.

Step-by-step explanation:

(a) The formula for the area A of a trapezoid

As b₁, b₂ being the lengths of the bases and 'h' is the height.

So, the formula for the area A of a trapezoid

A = \frac{1}{2}(b_{1}+ b_{2})h

(b) Solve the formula for h

As the formula for the area A of a trapezoid is  

A = \frac{1}{2}(b_{1}+ b_{2})h

So, formula for height h of trapezoid

h = \frac{2A}{b_{1}+b_{2}}

(c) Using the new formula to find the height h of the trapezoid

Using  h = \frac{2A}{b_{1}+b_{2}} to find the height h of the trapezoid.

So,

h = \frac{2A}{b_{1}+b_{2}}

h = \frac{2(72)}{16+8} ∵b₁ = 16, b₂ = 8, A = 72cm²

h = \frac{144}{24}

h = 6 cm

So, h = 6 cm

Hence, The height h of the trapezoid will be 6 cm.

Keywords: area of trapezoid, length, base, height

Learn more about height of trapezoid from  brainly.com/question/9967451

#learnwithBrainly

8 0
3 years ago
Sydney is purchasing new windows for her home, which have been quoted for
Verizon [17]

Answer: She's spending less so she should buy it becasue it's less than her overall.

Step-by-step explanation:

$18,000

Rate is 7.5

years 5

Intrest= 18000x7.5x5/100=

180x7.5x5/1=$6750

Selling price= $18000+$6750=$24750

8 0
2 years ago
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