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aliina [53]
3 years ago
13

Rectangle w/area of 91 has dimensions of (x+2) and (2x+3). Solve for dimensions.

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

5unit

Step-by-step explanation: since area of rectangle = length*width

Here length is (x+2) and width is(2x+3)

(x+2)(2x+3)=91

On further solving

2x^2+75x-85=0

2x^2-10x+17x-85=0

2x(x-5)+17(x-5)=0

(2x+17)(x-5)=0

x=5unit

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An isosceles triangle with a 35 angle and an 110 angle
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The remaining angle is 35 degrees. This makes the triangle an isosclese triangle as well.
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What is the solution set to the inequality 7z+5>47
Vsevolod [243]

Answer:

z>6

<h2>Step-by-step explanation:</h2>

7z+5>47

Remove the 5:

7z+5-5>47-5\\7z>42

Divide by 7 to get z by itself:

\frac{7z}{7} >\frac{42}{7} \\z>6

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A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
cupoosta [38]

Answer:

\displaystyle y=-\frac{1}{2}x+1

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two points are given: (-6,4) and (-2,2). Calculating the slope:

\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}

The equation of the line is, so far:

\displaystyle y=-\frac{1}{2}x+b

To calculate the value of b, we use any of the given points, for example (-6,4):

\displaystyle 4=-\frac{1}{2}(-6)+b

\displaystyle 4=3+b

Solving:

b = 1

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{2}x+1}

We can see none of the choices is correct.

8 0
3 years ago
11. Calvin walks 5 km south, then turns and walks 8 km east. Find his distance and displacement. Explain your answer.
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Answer:

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Which of the following illustrates the Distributive Property of Multiplication over addition?
Neporo4naja [7]

Answer:

<em>x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.</em>

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2 years ago
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