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3 years ago

What does A equal?•1•4•58

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

a=4

Step-by-step explanation:

if a+5=2a+1

then 5-1 = 2a-a

so 4 = a

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

SOMEBODY PLEASE HELP ME!!

notsponge [240]

Answer:

60 square units; 40 units

Step-by-step explanation:

to find the missing side you use the pythagorean theorem

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

b^2 = 225

b = 15

area is l*h*1/2

15 * 8 * 1/2 = 60 square units

perimeter is adding them all

15 + 8 + 17 = 40 units

8 0

1 year ago

How do you turn -3 1/3 into a negative fraction decimal

lina2011 [118]

Dear Joanna243, what do you mean by a "negative fraction decimal". You can't have a fraction and a decimal at the same time. I'll solve it anyway. Take 1/3 and do 1÷3 to get approximately 0.33, then you plug the -3 with 0.33 to get -3.33

8 0

2 years ago

Read 2 more answers

What is the measure of BGD?

slamgirl [31]

Answer:

90 degrees

Step-by-step explanation:

Angle BGD is supplementary with angle DGE.

BGD + DGE = 180

Since angle DGE is a right angle, then Angle BGD must also be a right angle:

BGD + 90 = 180

BGD = 90

7 0

3 years ago

Calculaye the perimeter and area of these composite shapes

lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

$14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64$

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

$A = a * b$

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

$A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2$

Thus, the total area is $A_ {t} = 156 \ cm ^ 2$

Answer:

The perimeter of the figure is 64 centimeters.

$A_ {t} = 156 \ cm ^ 2$

4 0

3 years ago

What does A equal?•1•4•58​

What does A equal?•1•4•58