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2 years ago

Which graph best represents the line y= -1/5x+2

Mathematics

2 answers:

vodomira [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Line crosses y-axis at 2.

Slope = $\frac{-1}{5}$

For each 1 square the line rises/falls it moves to the right/left 5 squares.

Negative slope lines are downhill left to right.

AlexFokin [52]2 years ago

6 0

Answer:

The answer is graph B

Step-by-step explanation:

Use slope formula, y=mx+b. m is our slope and the slope is -1/5. This means that our slope is negative.

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Yuri read 17 books.

Aleks [24]

Answer:

Yuri read 12 more books than Hiro.

Step-by-step explanation:

17-5=12

3 0

3 years ago

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

Given:

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

Solve for $x$ in the 1st equation:

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

Substitute the value of $x$ into the 2nd equation and solve for $z$ :

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

Substitute the value of $z$ into the 3rd equation and solve for $y$ :

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

Plug $y=3$ into the solved expression for $z$ and evaluate to solve for $z$ :

$z=16-7(3)$

$z=16-21$

$z=-5$

Plug $z=-5$ into the solved expression for $x$ and evaluate to solve for $x$ :

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

Need help with solving both of these questions for geometry homework.

faltersainse [42]

Answer:

m<R = m<T = 80.5 deg

Step-by-step explanation:

Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.

m<WXZ = 8x - 19 = 45

8x - 19 = 45

8x = 64

x = 8

Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.

The sum of the measures of the interior angles of a convex, n-sided polygon is

180(n 2).

A kite is a quadrilateral, so n = 4.

180(4 - 2) = 180(2) = 360

The sum of the measures of the interior angles of a kite is 360 deg.

m<Q + m<R + m<S + m<T = 360

75 + m<R + 124 + m<T = 360

m<R + m<T + 199 = 360

m<R + m<T = 161

m<R = m<T, so we substitute m<T with m<R.

m<R + m<R = 161

2m<R = 161

m<R = 80.5

m<R = m<T = 80.5 deg

8 0

3 years ago

The scale of a map is 1:40000. What distance on the map represents a real distance of 5km?

Rufina [12.5K]

Answer:

0.125

Step-by-step explanation:

1=40000

x-5000

x=5000÷40000=1/8=0.125

6 0

3 years ago

2.4) Solve 9x2 + 6x = 48

Daniel [21]

18 +6x = 48
6x= 48-18
6x=30
X= 30\6
X=5

3 0

2 years ago

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