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taurus [48]
3 years ago
13

Solve the system of equations. y = x2 + 7x - 5 y = 2x + 9

Mathematics
2 answers:
marissa [1.9K]3 years ago
6 0

Answer:

(2, 13)

(-7, -5)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and analyze the graph where the 2 graphs intersects.

grin007 [14]3 years ago
4 0

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>(x₁, y₁) = (-7, -5)</em>

<em>(x₂, y₂) = (2, 13)</em>

▹ Step-by-Step Explanation

y = x² + 7x - 5

y = 2x + 9

<u>Make the sides equal</u>

x² + 7x - 5 = 2x + 9

<u>Solve</u>

x = -7x

x = 2

<u>Substitute</u>

y = 2x(-7) + 9

x = 2

<u>Solve</u>

y = -5

y = 2 * 2 + 9

<u>Solutions</u>

(x₁, y₁) = (-7, -5)

(x₂, y₂) = (2, 13)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

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Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one
vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$(x+0.40)

According to the question

12(x+0.40)+20x =16

Distributing 12 and combining like terms, we will get

12x+4.8+20x=16\\32x = 11.2\\x = 0.35

Therefore cost of pencil is $0.35 and cost of pen is

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3 0
3 years ago
If the perimeter of the triangle is 32 cm what is the length of each two sides? Write and solve equation
scZoUnD [109]

Answer:

12 centimeters

Step-by-step explanation:

An isosceles triangle has two congruent sides which are legs(2 sides having same length )If x is length of each leg, then we ca write the equation like this

equation: x+x+8=32

combine like terms

2x +8 = 32

minus 8 from each side

2x=32-8

2x=24

divide both sides by 2

2x/2 = 24/2

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3 0
3 years ago
Steve ordered Plastic cases for storing his baseball cards each case has a length of 12 cm a width of 6.5 cm and a height of 1.2
BigorU [14]
Volume for rectangular prism is l x w x h
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3 0
3 years ago
The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface
Ksenya-84 [330]
We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height 
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²
7 0
3 years ago
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