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3 years ago

May I please get the answers to the first 4 of these problems?

Mathematics

1 answer:

Ugo [173]3 years ago

7 0

Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)

1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)

2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)

3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)

D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)

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Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of th

Brilliant_brown [7]

Answer:

On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)

Step-by-step explanation:

The first graph is not correct because you cannot sell or buy, for example 1.1, cans of tomato.

The second graph is correct because x is discrete variable, that is, it only take values like 1, 2, 3, etc.

The third and fourth graphs are not correct because you cannot sell or buy negative cans of tomatoes.

6 0

3 years ago

Read 2 more answers

01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)

Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use this formula, you need two points and also, you need to assign these points to $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ .

In this case, $x_{1}$ and $x_{1}$ is assigned to the ordered pair (1,3), while $x_{2}$ and $y_{2}$ is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

$\frac{7-3}{3-1} =\frac{4}{2} = 2$

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

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3 years ago

A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)

makkiz [27]

I think the answer is (2x - 9)(x - 5)

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3 years ago

Each leg of a 45-45-90 triangle measures 14 cm what is the length of the hypotenuse

PtichkaEL [24]

Answer:

14 square roots of 2 is correct

Step-by-step explanation:

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3 years ago

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What is an equation of the line that passes through the point (−1,6) and is parallel to the line 2x+y=9

Alex73 [517]

Answer:

2x + y = 4

Step-by-step explanation:

2x + y = 9 => y = -2x + 9

Parallel lines have the same slope so m = -2

Given (-1,6)

y = mx + b

6 = -2(-1) + b

6 = 2 + b

b = 4

so y = -2x + 4 or 2x + y = 4

5 0

2 years ago