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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

Answer:

-41

Step-by-step explanation:

Use 2 points to find the equation of the line using the 2-point form of the equation of a line. Then we write the equation in the slope-intercept form to find the y-intercept.

$y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

We can use points (-36, -117) and (-27, -98), so

x1 = -36

x2 = -27

y1 = -117

y2 = -98

$y - (-117) = \dfrac{-98 - (-117)}{-27 - (-36)}(x - (-36))$

$y + 117 = \dfrac{19}{9}(x + 36)$

$y + 117 = \dfrac{19}{9}x + 76$

$y = \dfrac{19}{9}x - 41$

The y-intercept is -41.

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Identify a pattern and find the next number in the pattern.<br> -0.4, -1.2, -3.6, -10.8

UNO [17]

Answer:

-32.4

Step-by-step explanation:

-1.2/(-0.4) = 3

-3.6/(-1.2) = 3

-10.8/(-3.6) = 3

Each new terms is the previous term multiplied by 3.

-10.8 * 3 = -32.4

6 0

3 years ago

Which expression is equivalent to 2(x+7)-18+4/5 ?

Vadim26 [7]

Answer:

4.7/5

Step-by-step explanation:

7 0

3 years ago

NO LINKS!! Use the diagram below to answer the following questions.

diamong [38]

Answer:

a) WS, ZV, YU

b) VU

c) ZW

d) WXY

e) None

f) TU, TV, UV, XY, XZ, YZ

g) SW, VX, VZ, WX, WZ, YZ

Step-by-step explanation:

A prism is a polyhedron that has:

Two bases that are congruent and parallel to each other.
Lateral sides that are parallelograms and link the two bases.
Height that is the distance between the two bases.

From inspection of the give diagram, the figure appears to be a quadrilateral prism with bases STUV and WXYZ.

<u>Parallel line segments</u>

Parallel line segments lie on parallel lines.
Parallel lines are lines on a plane that <u>never meet</u> and are the <u>same distance apart</u>.

a) Segments parallel to XT:

WS, ZV, YU

b) Segments parallel to ZY:

c) Segments parallel to VS:

<u>Planes</u>

A plane is a flat, two-dimensional surface that extends into infinity.
A plane can be named by the letters naming three non-collinear points in the plane.
Parallel planes are planes that never intersect.

d) Planes parallel to plane STU:

e) Planes parallel to plane UVZ:

None

<u>Skew lines</u>

Skew lines are a pair of non-coplanar lines that:

Do <u>not</u> intersect.
Are <u>not</u> parallel to each other.

f) Segments skew to SW:

TU, TV, UV, XY, XZ, YZ

g) Segments skew to UT:

SW, VX, VZ, WX, WZ, YZ

3 0

1 year ago

Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)

ElenaW [278]

$\boxed{y=-2x-5}$

<h2>Explanation:</h2>

The slope-intercept form of the equation of a line:

$y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept$

The given line has the following characteristics:

$y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3$

So the line we are looking for needs to be:

$y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5$

So, the equation of the line would be:

$\boxed{y=-2x+3}$

<h2>Learn more:</h2>

Many-to-one function: brainly.com/question/12881881

#LearnWithBrainly

3 0

4 years ago

Alexis was given the data in the table below. She will use her calculator to find a model to predict the locations of other poin

lakkis [162]

Answer:

y = 0.28X - 0.77

Step-by-step explanation:

Given the data :

у:

Equation of regression line is in the form:

y = mx + c

Where y = predicted variable ;

c = intercept ; m = slope or gradient ; x = predictor variable

Using The correlation Coefficient calculator :

The regression equation obtained is :

ŷ = 0.2754X - 0.77028

Rounding values in our regression output to 2 decimal places :

y = 0.28X - 0.77

Hence best model to make prediction :

y = 0.28X - 0.77

8 0

3 years ago