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3 years ago

What is the slope of the line parallel to 7x + 4y = -16?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

The slope of the line that is parallel to the given line is $\frac{-7}{4}$

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = $\frac{-a}{b}$

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = $\frac{-a}{b}$

∴ The slope of the line = $\frac{-7}{4}$

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is $\frac{-7}{4}$

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Find a line that is parallel to y=-2x+7 and passes through a point of (1,-1)

navik [9.2K]

Answer:

y=-2x +1

Step-by-step explanation:

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3 years ago

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Amanda [17]

Answer: A is the correct option.Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given : A triangle ABC where AC=4 and AB=6

then to prove segment DE is parallel to segment BC and half its length.

the length of AD and AE must divide AC and AB respectively to get the same ratio of 2:1

To apply converse of basic proportionality theorem.

If we take first option Segment AD is 3 and segment AE is 2 then

$\frac{AB}{AD}=\frac{6}{3}=\frac{2}{1},\frac{AC}{AE}=\frac{4}{2}=\frac{2}{1}\\\Rightarrow\frac{AB}{AD}=\frac{AC}{AE}$

Therefore by converse of basic proportionality theorem

DE is parallel to segment BC and half its length.

Therefore A is correct option.

7 0

3 years ago

Read 2 more answers

If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?

Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

$g(x)=4x^2-16$

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it $h(x)$ ) will be:

$h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17$

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

$(0,-16)$

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

$New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)$

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0

3 years ago

What type of angles are <5 and <16

vovikov84 [41]

You forgot to add a picture

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3 years ago

At a warehouse the employees can upload 18 trucks in 6 hours what is the unit rate for uploading trucks

dybincka [34]

The unit rate would be 3 trucks per 1 hour you can find this by dividing 18 and 6 by 6

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3 years ago