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Arte-miy333 [17]
1 year ago
13

PLEASE HELP ASAP

Mathematics
1 answer:
andrew-mc [135]1 year ago
7 0

1) Parallel lines have the same slope, so the answer is 1/2

2) Perpendicular lines have slopes that are negative reciprocals, so the answer is -2

3) The equation of the perpendicular is y = -2x - 6, so a point is (0, -6)

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Airida [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
A rectangle has perimeter 28cm. Its area is 42sq.cm. Determine the dimensions of the rectangle. Include a diagram in your soluti
yawa3891 [41]

The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle is equal to base x height (A=bh). The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2b+2h.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

Perimeter=28cm

Area= 42 cm²

If the perimeter is the sum of all sides of the rectangle, you have:

Perimeter= 2b+2h=28

If the area of the rectangle is 42cm², you have:

Area=bh=42 cm²

You can write a system of linear equations.

2b+2h=28 (1)

bh=42 (2)

From equation 2, you have  b=\frac{42}{h}. Then, you can replace it in equation 1.

2*\frac{42}{h}+2h=28 \\ \\ 84+2h^2=28h\\ \\ 2h^2-28h+84=0 \; dividing\; by\; 2\\ \\ h^2-14h+42=0

Now, you should solve the quadratic equation.

h_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:42}}{2\cdot \:1}

h_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{7}}{2\cdot \:1}

h_1=\frac{-\left(-14\right)+2\sqrt{7}}{2\cdot \:1}=7+\sqrt{7}=9.65 cm

h_2=\frac{-\left(-14\right)-2\sqrt{7}}{2\cdot \:1}=7-\sqrt{7}=4.35cm

If h1=9.65 cm, then b_1=\frac{42}{9.65} =4.35 cm, and if  h2=4.35 cm, then b_1=\frac{42}{4.35} =9.65 cm.

Read more about the quadratic function here:

brainly.com/question/1497716

#SPJ1

8 0
1 year ago
In a race 24 out of 25 cyclists finished in less than 51 minutes what percentage of cyclists finished the race in less then 51 m
Gekata [30.6K]

Answer: 96%

Step-by-step explanation:

There are 25 total cyclists and 24 of those finished the race in less than 51 minutes. The question would like this 24 to be expressed as a percentage of 25.

In percentage this would be:

= Number of cyclists who finished in 51 minutes / Total number of cyclists * 100%

= 24 / 25 * 100%

= 96%

4 0
2 years ago
7 inches by 4 inches. the frame is created from 10 square inches of framing material
coldgirl [10]
74 inches whskdnsaskfis
5 0
3 years ago
I need help this is 6th grade Question 3×(5+4^2)-10
bonufazy [111]
Using PEMDAS the you start with parentheses and exponents 4x4 would be 16 times 2 is 32 plus 5 is 37 then multiply that by 3 = 111 subtract 10 and get 101
8 0
3 years ago
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