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2 years ago

What is the sum of -2/3 and -4/6? i just want the answer

Mathematics

1 answer:

ddd [48]2 years ago

3 0

Answer: A

Step-by-step explanation:

-2/3+(-4/6)

= -2/3 -2/3

=(-2-2)/3

=-4/3

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The diagram shows a right angled triangle.

uysha [10]

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

4 0

2 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

The answer please????

guapka [62]

Answer:

999

Step-by-step explanation:

5 0

2 years ago

Help me please my test is tomorrow!

Marysya12 [62]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$4z + 2 = 10z - 1$

Add sides 1

$4z + 2 + 1 = 10z - 1 + 1$

$4z + 3 = 10z$

Subtract sides 4z

$- 4z + 4z + 3 = - 4z + 10z$

$3 = 6z$

$6z = 3$

Divide sides by 6

$\frac{6z}{6} = \frac{3}{6} \\$

$z = \frac{1}{2} \\$

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$3y = y + 3$

Subtract sides y

$- y + 3y = - y + y + 3$

$2y = 3$

Divide sides by 2

$\frac{2y}{2} = \frac{3}{2} \\$

$y = \frac{3}{2} \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is :

$a) \: y = \frac{3}{2} \: , \: z = \frac{1}{2} \\$

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4 0

3 years ago

Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).

Yuri [45]

Step-by-step explanation:

first step is to find the gradient of the line which "m" on the equation

gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given

2nd step is to substitute on the equation y=mx+c

m= -½

y= 3 (you can choose any from those given points but in my case I chose point A)

x= -2

c= ? only unknown variable so we can can calculate it

substitute as shown on the picture to get c= 2

therefore our equation of the line will be y= -½x+2

4 0

3 years ago