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2 years ago

Indicate whether the lines are parallel, perpendicular, or neither.

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

6 0

Answer:

Perpendicular

Step-by-step explanation:

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A car is traveling at 65 miles per hour how many miles does the car travel in 1.5 hours

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Answer:

speed times time

65×1.5=97.5miles

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3 years ago

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mylen [45]

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2 years ago

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2 years ago

Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the

AysviL [449]

Answer:

$x = 2 \: or \: x = - 2 \: or \: x = - \frac{1}{2}$

Step-by-step explanation:

The given polynomial equation is

$2 {x}^{3} + {x}^{2} - 8x - 4 = 0$

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

$2 {x}^{2} + 5x + 2$

This means the polynomial equation becomes:

$(x - 2)(2 {x}^{2} + 5x + 2) = 0$

We factor the quadratic term by splitting the middle term;

$(x - 2)(2 {x}^{2} + 4x +x + 2) = 0$

$(x - 2)(2 x(x+ 2) +1(x + 2) )= 0$

Collect common factors again:

$(x - 2)((x+ 2)(2x + 1) = 0$

The solution is:

$x = 2 \: or \: x = - 2 \: or \: x = - \frac{1}{2}$

8 0

3 years ago

How do I find the values of these

skad [1K]

Since the triangles are similar, then 32 = x+7 those two angles are too
solve for "x"

now using proportions $\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{JK}{18}=\cfrac{12}{12+10}$

solve for JK

$\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{12}{12+10}=\cfrac{9}{9+KG}\implies 12(9+KG)=(22)9
\\\\\\
108+9KG=198$

solve for KG

the scale factor of the perimeter of both triangles is just the same as the ratio of the sides, or $\bf \cfrac{12}{12+10}$

3 0

2 years ago