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aleksklad [387]

2 years ago

11

Jeff and Kayla are finding the product of 178 times 56.They both are using the distributive property to find partial products.Lo

ok at their work below.

1 answer:

UNO [17]2 years ago

6 0

Answer:

9968

Step-by-step explanation:

178×56=178×(50+6)

=178×50+178×6

=8900+(170+8)×6

=8900+170×6+8×6

=8900+1020+48

=9968

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Goran went for a drive in his new car. he drove for 4 hours at a speed of 25.6 miles per hour. for how many miles did he drive?

Sergio [31]

Distance = Speed * Time

D = 25.6 * 4

D = 102.4 miles

In short, Your Final Answer would be: 102.4 miles

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1 year ago

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If having a warranty on a car is important a person should buy a car that is _______

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7. The probability that a person living in a certain city owns a dog is estimated to be 0.3. Find the probability that the tenth

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2 years ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

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The y-coordinate of the vertex:

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$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

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$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

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$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

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$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

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2 years ago

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Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the

NeX [460]

Answer:

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b = 5.

Step-by-step explanation:

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when x = 12 y = 3 so

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b = 3 + 2 = 5.

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2 years ago

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