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3 years ago

What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

Mathematics

2 answers:

likoan [24]3 years ago

7 0

Answer:

• General equation of a line:

${ \tt{y = mx + b}} \\$

m is the slope, m = 2/5
b is y-intercept

${ \tt{ - 7 = ( \frac{2}{5} \times - 4) + b }} \\ \\ { \tt{ - 7 = - \frac{8}{5} + b}} \\ \\ { \tt{b = - \frac{27}{5} }}$

• Therefore, equation of line is:

${ \tt{y = \frac{2}{5}x - \frac{27}{5} }} \\$

Kruka [31]3 years ago

3 0

Answer:

y + 7 = $\frac{2}{5}$ ( x + 4 )

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

y - $y_{1}$ = $\frac{2}{5}$ ( x - $x_{1}$ )

~~~~~~~~~~~~~~

( - 4 , - 7 )

y - ( - 7 ) = $\frac{2}{5}$ ( x - ( - 4 ))

y + 7 =  $\frac{2}{5}$  ( x + 4 )

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the perimeter of an equilateral triangle is 39 centimeters. What is the length of an altitude of the triangle ?

victus00 [196]

Answer: $h = 11.26cm$

Step-by-step explanation:

Equilateral triangle has equal sides, let the side be $xcm$ , then the perimeter is $3x$

Therefore:

$3x = 39$

$x = 39/3$

$x = 13cm$

To find the altitude , we will apply Pythagoras theorem , that is

$13^{2}=h^{2}+6.5^{2}$

Therefore:

$h^{2}=13^{2}-6.5^{2}$

$h^{2}=169-42.25$

$h^{2}=126.75$

take the square root of both sides

$h = 11.26cm$

8 0

3 years ago

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly descri

love history [14]

Answer:

A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.

Step-by-step explanation:

Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.

<h3>Application</h3>

The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.

The appropriate description is that of choice A.

4 0

2 years ago

Write the equation x² + 6x + y² – 8y = 19 in standard form.

kirza4 [7]

Answer:

Formula used :

x²+2xy+y² = (x+y)²
x²-2xy+y² = (x-y)²

$→{x}^{2} + 6x + {y}^{2} - 8y = 19 \\ ({x}^{2} + 2.3.x + {3}^{2} ) +({y}^{2} - 2.4.y + {4}^{2} ) = 19 + {3}^{2} + {4}^{2} \\ {(x + 3)}^{2} + {(y - 4)}^{2} = 19 + 9 + 16 \\ \boxed{ {(x + 3)}^{2} + {(y - 4)}^{2} = 44}✓$

3) (x+3)²+(y-4)²=44 is the right answer.

8 0

3 years ago

Read 2 more answers

1 point Captionless Image

algol [13]

Answer:

uhhh ok

Step-by-step explanation:

6 0

3 years ago

Whats is it a reflection a horizontal stretch or horizontal compression

yan [13]

A reflection is a mirror image. Placing the edge of a mirror on the x-axis will form a reflection in the x-axis. This can also be thought of as "folding" over the x-axis.

If the original (parent) function is y = f (x), the reflection over the x-axis is function -f (x).

6 0

3 years ago