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gizmo_the_mogwai [7]
3 years ago
9

Part A: Explain how you will solve this pair of equations using substitution. Show all the steps and write the solution. (5 poin

ts)
Part B: On a graph, what point will the lines representing the two equations intersect? Explain your answer. (5 points)

y = 16x + 4
y = 25x − 23
Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

y = 16x + 4

y = 25x - 23              

____________

16x + 4 = 25x - 23

27 = 9x

3=x

__________

y = 25(3) - 23

y = 75 - 23

y = 52

_________

They will intersect at (3, 52)

Step-by-step explanation:

The second step which is bolded I simplified the equation. In the next step I'm going to substitute 3 into the second equation.

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If x2 mx m is a perfect-square trinomial, which equation must be true?.
kodGreya [7K]

Expression consist of numbers, variables, and mathematical operations. The equation that is true is x²+mx+m= (x+2)².

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the x²+mx+m is a perfect square trinomial, and we know that the general equation of perfect square trinomial  is given as,

ax²+bx+c=0

where a,b and c are real numbers, and a≠0,

if we compare the equation with our equation

ax^2+bx+c=0\\x^2+mx+m=0

We will get the value of 'a' as 1, b=c=m, therefore, we need a binomial which is when expanded then in its perfect square trinomial the value of b=c, therefore, the only feasible option here is (x+2)².

Hence, the equation that is true is x²+mx+m= (x+2)².

Learn more about Expression:

brainly.com/question/13947055

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2 years ago
A rescue helicopter is used to help victims who fell in a ditch. The helicopter begins at sea level, which is an elevation of 0
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The helicopter still needs to fly up sec 17.0886 at maximum speed.

Step-by-step explanation:


8 0
3 years ago
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20(40)
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2 years ago
I am stuck at this question​
Marrrta [24]

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² =  √(6-x)² + (2)²

√x² -4x +4 + 100 =  √x²-12x+36 + 4

√x² -4x + 104 =  √x²-12x+40

square both sides,

x² -4x + 104 =  x²-12x+40

x² -4x - x²+ 12x = 40 - 104

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Let C(a,b)

M is AC midpoint

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Comparing;  

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Hence, C(16,12)

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slavikrds [6]

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