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pentagon [3]
3 years ago
6

Solve the system: 2x+3y=6 and x=-2y+3. I need help

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

\large\boxed{x=3,\ y=0\to(3,\ 0)}

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+3y=6&(1)\\x=-2y+3&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\2(-2y+3)+3y=6\qquad\text{use distributive property}\\\\(2)(-2y)+(2)(3)+3y=6\\\\-4y+6+3y=6\qquad\text{subtract 6 from both sides}\\\\-y=0\to\boxed{y=0}\\\\\text{Put the value of y to (2):}\\\\x=-2(0)+3\\\\x=0+3\\\\\boxed{x=3}

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The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p=28.2t+644 where t is the
egoroff_w [7]

p = 28.2t + 644\\\\p-644 = 28.2t\\\\\frac{p-644}{28.2} = \frac{28.2t}{28.2}\\  \\t = \frac{p-644}{28.2}

t = \frac{1320.80-644}{28.2} \\\\t = 24

It will take 24 years.

6 0
3 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point
Semenov [28]

Answer:

D, y = 3x − 7

Step-by-step explanation:

Edge 2020, mark as brainliest plz

8 0
3 years ago
Read 2 more answers
What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)
kipiarov [429]
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
6 0
3 years ago
The picture shows a feeding trough that is shaped like a right prism.
ollegr [7]
A)We have been given →

Hieght of trough = 5m

length of trough = 6m

Breadth of trough = 4m

so , As the top is opened for feeding animals.

Area of base = length× Breadth

= (6×4) m²
= 24 m²

Area of Front and back face = Hieght × length

= (5×6) m²
= 30m²

Area of side faces = hieght × Breadth

= (5×4) m²
= 20 m²
____________________________________

B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)

= 2{(6×4)+(4×5)+(5×6)}

= 2{24+20+30}

= 2×74

= 148 m²

As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →

(148-24) m²

(Area of top will be same as base area , that is 24m² as we have solved in A)

= 124m²

Answer→ Surface area of trough is 124m²
___________________________________
5 0
3 years ago
Please help me if you can with this math problem
Viefleur [7K]

Answer:

m<BAC = 34

Step-by-step explanation:

It is given that (<BOC) is a central angle with a degree measure of (68). A central angle is an angle whose vertex is the center of the circle. (<BAC) is an inscribed angle, an angle whose vertex is on the circumference (perimeter) of the circle. Arc (BC) connects the ends of both of these angles.

The central angle theorem states that the measure of the central angle is equivalent to its surrounding arc. Using this theorem, one can state the following,

m<BOC = BC = 68

The inscribe angle theorem states that the measure of the arc surrounding the inscribed angle is twice the measure of the inscribed angle. Applying this theorem, one can state the following,

2(m<BAC) = (BC)

2 (m<BAC) = 68

m<BAC = 34

8 0
3 years ago
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