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2 years ago

Jamie's family has completed 80% of a trip. They have traveled 40 miles. How far is the trip?

Mathematics

1 answer:

xenn [34]2 years ago

5 0

Answer:

Step-by-step explanation:

because forty is eighty percent of 50

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Solve the system of equations.

algol [13]

8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = -2

y = -4(-2)
y = 8

Therefore, the point of intersection is (-2,8).

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2 years ago

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Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

8 0

3 years ago

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Simplify this algbraic expression completely 5y-3(y+2)

Sophie [7]

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

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2 years ago

The slope of the line below is -3. Use the coordinates of the labeled point to find the point-slope equation of the line.

muminat

Y-___enter y-coordinate of the point here= -3(x-__enter the x-coordinate here)

4 0

3 years ago

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What is the slope of a trend line that passes through the points (–3, 3) and (18, 26)? StartFraction 15 Over 29 EndFraction Star

Alik [6]

Answer:

23/21

Step-by-step explanation:

The slope is computed from ...

m = (y2 -y1)/(x2 -x1)

For the given points, the slope is ...

m = (26 -3)/(18-(-3)) = 23/21

The slope of the trend line is 23/21.

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3 years ago

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Jamie's family has completed 80% of a trip. They have traveled 40 miles. How far is the trip?​

Jamie's family has completed 80% of a trip. They have traveled 40 miles. How far is the trip?