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melomori [17]
3 years ago
12

Which equation uses the distributive property to show 6 × 78 = 468? A) 6 + (70 × 8) = 468 B) 6 × (70 + 8) = 468 C) 6 + (70 + 8)

= 468 D) 6 × (70 × 8) = 468
Mathematics
2 answers:
Nesterboy [21]3 years ago
7 0

Answer:

b

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

kolbaska11 [484]3 years ago
4 0

Answer:

B

Step-by-step explanation:

literally the only equivalent equation

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What is the measure of Angle A
jeka94

Answer:

Step-by-step explanation:

7.5xsin(16.7)/2.5=0.8620815595

sin-1(0.8620815595)=59.55110984

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3 years ago
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Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -
GaryK [48]

Consider all parabolas:

1.

y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

2.

y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

3.

y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

4.

y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

5.

y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

6.

y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0
3 years ago
Pls help lol eeeeeeeeee :D :D
Studentka2010 [4]

Answer:

9 units2

Step-by-step explanation:

area of a triangle= lengthxwidth/2

3x6=18/2=9

6 0
3 years ago
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BRAINLIEST
kenny6666 [7]

Answer:

B. 1 1/3

Step-by-step explanation:

\frac{5}{6} + \frac{3}{6} = \frac{8}{6}

\frac{8}{6} = \frac{4}{3}

three can go into 4 once, so we have a whole number of 1 and a leftover 1/3.

= 1\frac{1}{3}

hope this helps :)

4 0
2 years ago
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Write the equation of the line that passes through the given lines (0,-2) and (4,1)
Gala2k [10]

Answer:

y = 3/4x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Define

(0, -2) y-intercept

(4, 1) random point

Step 2: Find slope <em>m</em>

<em />m=\frac{1-(-2)}{4-0}<em />

<em />m=\frac{1+2}{4}<em />

<em />m=\frac{3}{4}<em />

y = 3/4x + b

Step 3: Write linear equation

y = 3/4x - 2

7 0
3 years ago
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