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4 years ago

Calculate the slope of the line passing through the two colored points below.

Mathematics

1 answer:

Anton [14]4 years ago

4 0

Answer:

slope:

m= (y2-y1)/(x2-x1)

you just take two points and plug in the x and y values into the equation above

Step-by-step explanation:

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Juanita has a bag of mixed nuts.her bag contains 27 cashews, 45 almonds and 18 peanuts. What is the ratio of cashews to almonds

Afina-wow [57]

Cashews to almonds
27:45
Reduce by dividing by 9:
3:5

8 0

3 years ago

Read 2 more answers

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)

other point is <u>(2.5, 0)</u> and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

Data sets I really need help with ASAP please and thanks.

grandymaker [24]

Solve the equation by inserting 7 for x.

Our equation is now y=2.5(7)-1.5

Multiply.

Y=17.5-1.5

Subtract

Y=16

The answer is D. 16

Hope this helps!

3 0

3 years ago

*Easy* & will mark brainest!! Does the image above mean no solution or infinite solutions? please let me know!

jenyasd209 [6]

Answer:

No solution.

Step-by-step explanation:

That image is of the symbol of the empty set. The solution set is empty, which means there is no solution.

8 0

3 years ago

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What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.

Marat540 [252]

Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

3 0

3 years ago