Work out the area of ABCD. Give your answer to 1 decimal place.

Mathematics

1 answer:

Mashutka [201]2 years ago

6 0

Answer:

A is 90

C is 65

Step-by-step explanation:

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5(2x - 3) + 2 (3x + 1)

astraxan [27]

1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done

For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer

6 0

3 years ago

How would I solve y=5x-2 & -14x+y=16 in a substitution equation

Aleks04 [339]

You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16

Then you would solve for “x”
x=2

You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2

Which would then give you a value for “y”
y=12
So the answer is (2,12)

7 0

2 years ago

Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

A 25-foot tall flagpole casts a 42-foot shadow. What is the angle (to the neasrest tenth of degree) that the sun hits the flagpo

Maurinko [17]

Tan^-1 (tan x) = 42/25
x=tan^-1 42/25

x= 59.237 degrees.

8 0

3 years ago

Isabella is cooking a meal for 14 friends. Each person gets

algol13

I’m pretty sure that says 6 cups of vegetables so 84 cups but if you meant 1/6 of a cup then 7/3 cups or 2/1/3

8 0

2 years ago