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german
3 years ago
11

What is the slope of this graph? 4 14 −14 −4

Mathematics
1 answer:
Strike441 [17]3 years ago
8 0

Answer:

-4

Step-by-step explanation:

The slope of this graph is the gradient. As it is sloping downwards the gradient will be negative, so either -4 or -14.

The gradient can be found by using the equation gradient=rise/run

The line passes through (-2, 5) and (0,-3).

This means the run (x-direction) is  -2-0= -2   and the rise (y-direction)  is

5 - (-3) = 5+3 = 8

Therefore the gradient is equal to 8/-2 = -4

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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
Thom worked 20 hours last week at the sporting-goods store and earned
Ilia_Sergeevich [38]

Answer:

He must work additional 8 hours.

Step-by-step explanation:

Because 1550.00/20=7.75

217.00/7.75=28

28-20=8

So,an additional of 8 hours

6 0
3 years ago
What is the ratio of the length of the radius and the length of the diameter for all circles?
vredina [299]
The diameter is twice the radius  (D=2R), then

\frac{R}{D}=\frac{1}{2}

4 0
3 years ago
If the measure of an angle is twice the measure of its supplement what is the measure of the angle
arlik [135]
Supplement / 2 = angle
4 0
3 years ago
The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje
algol13

Answer: 116\text{ joules}


Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression \frac{1}{2}mv^2 , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball=\frac{1}{2}(0.145)(40)^2

\frac{1}{2}(0.145)(1600)=116\text{ joules}

3 0
3 years ago
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