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siniylev [52]
2 years ago
15

Determine the equation of the linear graph that passes through (-2,3) and (4,6). State your answer in the

Mathematics
1 answer:
Lena [83]2 years ago
3 0

The linear equation is y = 4 + 0.5x

<h3>How to determine the equation?</h3>

The points are given as: (-2,3) and (4,6)

The equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1

Substitute the known values

y = \frac{6-3}{4+2} *(x+2) + 3

Evaluate

y = 0.5 *(x+2) + 3

Expand

y = 0.5x + 1 + 3

Evaluate the sum

y = 0.5x + 4

Rewrite as:

y = 4 + 0.5x

Hence, the equation is y = 4 + 0.5x

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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Which is equivalent to (3 + 2i)(5 + i)?
zepelin [54]
(3 + 2i)(5 + i)
15 + 3i + 10i + 2i^2
15 + 13i - 2
13 + 13i
5 0
3 years ago
Find the distance between the two points.<br> (-6, -7) and (154, - 43)
Vitek1552 [10]

Answer:

(160, 36)

Step-by-step explanation:

Distance is always positive because, well, you aren't -50 meters away from your house or something. You are just 50 meters away from your house. And 160 is the distance between -6 and 154, because there is one minus and one plus, you add them, because that is how far they are apart, and then-43 and -7 were easy just subtract them.

8 0
3 years ago
The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?
s2008m [1.1K]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad  \left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)}  \right)\implies (4~~,~~8-48)\implies (4~~,~-40)

5 0
3 years ago
What is the solution
omeli [17]
5x + 6y = 272

if you need the y-intercept
y= - 5x/6 + 45.5
7 0
3 years ago
Identify the trinomial that is a perfect square. 81x^2 − 70x 16 64x^2 − 90x 25 81x^2 − 72x 16 64x^2 − 70x 25
Vilka [71]
Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2

see each

first one
-70=2(9)(4)
-70=72
false

second
-90=2(8)(5)
-90=80
false

third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer


the answer is 81x^2-72x+16
5 0
3 years ago
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