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3 years ago

Guided Practice

Mathematics

1 answer:

Artyom0805 [142]3 years ago

8 0

Answer: B. 2/3; 1

Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .

Slope:

(2) /(3)

y-intercept:

( 0 , 1 )

Step-by-step explanation:

Find the slope and y-intercept of the equation. y = (2)/(3)x + 1

Find the Slope and y-intercept

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Use algebra to solve 3x + 4 = 1/x . The exact solutions are x =

Svetach [21]

Answer:

3x^2+4x=1

x(3x+4)=1

So, there is two x answers

1)x=1

2)3x+4=1 => x= -1

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4 years ago

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3 years ago

Write as a mixed number to the lowest terms 9 1/4 - 6 2/3 =

yuradex [85]

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3 years ago

30^2 + 15^2 = c^2 Use pythagorean theorem

katovenus [111]

Answer:

c = 33.5

Step-by-step explanation:

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3 years ago

Point C (3,6, -0,4) divides AB in the ratio 3:2. If the coordinates of point B are. If point D divides CB in the ratio 4:5, the

sveta [45]

Answer:

B = (10, -4), D = (58/9, -2)

Step-by-step explanation:

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .

Solution:

If point O(x, y) divides line segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, then:

$x=\frac{n}{n+m}(x_2-x_1)+x_1 ;\ y=\frac{n}{n+m}(y_2-y_1)+y_1$

Since point C divides AB in the ratio 3:2. Let the coordinates of B be (x₂, y₂). Hence:

$3.6=\frac{3}{3+2}(x_2-(-6))-6\\\\9.6=\frac{3}{5}(x_2+6) \\\\x_2+6=16\\\\x_2=10\\\\\\-0.4=\frac{3}{3+2}(y_2-5)+5\\\\-5.4=\frac{3}{5}(y_2-5) \\\\y_2-5=-9\\\\y_2=-4$

B = (10, -4)

D divides CB in the ratio 4:5. Let D = (x, y). Hence:

$x=\frac{4}{4+5}(10-3.6)+3.6 \\\\x=\frac{58}{9} \\\\\\y=\frac{4}{4+5}(-4-(-0.4))+(-0.4)\\\\y=-2$

Hence D = (58/9, -2)

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3 years ago