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3 years ago

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

Mathematics

2 answers:

Sati [7]3 years ago

8 0

So, the right answer is of option A.

Look at the attached picture⤴

Hope it will help u...

marshall27 [118]3 years ago

5 0

Answer:

Step-by-step explanation:

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Solve 5x 2 - 7x + 2 = 0 by completing the square. What are the solutions?

Alexeev081 [22]

Answer:

$x=\frac{2}{5}$ or $x=1$

Step-by-step explanation:

The given quadratic equation is

$5x^2-7x+2=0$

Group the constant terms on the right hand side.

$5x^2-7x=0-2$

$5x^2-7x=-2$

Divide through by 5.

$x^2-\frac{7}{5}x=-\frac{2}{5}$

Add the square of half the coefficient of x., which is $(\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100}$ to both sides of the equation.

$x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}$

The left hand side is now a perfect square.

$(x-\frac{7}{10})^2=\frac{9}{100}$

Take the square root of both sides;

$(x-\frac{7}{10})=\pm \sqrt{\frac{9}{100}}$

$x-\frac{7}{10}=\pm \frac{3}{10}$

$x=\frac{7}{10}\pm \frac{3}{10}$

$x=\frac{7-3}{10}$ or $x=\frac{7+3}{10}$

$x=\frac{4}{10}$ or $x=\frac{10}{10}$

$x=1$ or $x=\frac{2}{5}$

5 0

3 years ago

Read 2 more answers

What is 4 divided by 6 + 89 - 34 -89 +190

saw5 [17]

4/(6+89-34-89+190)
=4/162
=2/81
That's your answer.

5 0

3 years ago

Read 2 more answers

Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f

gavmur [86]

Answer:

R¹(-7, -3) , S¹(-2, -1), T¹(-5, 4)

Step-by-step explanation:

Step(i):-

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

Step(ii):-

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3) → S¹(1-3, -3) → S¹(-2, -3)

T¹(-2,2) → T¹(-2-3, 2)→ T¹(-5, 2)

Step(iii):-

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x ,y+2)

R¹(-7, -5+2) → R¹(-7, -3)

S¹(-2, -3+2) → S¹(-2, -1)

T¹(-5, 2+2) → T¹(-5, 4)

4 0

3 years ago

It takes 300 newtons of force and a distance of 20 meters for a moving car to come to stop. How much work is a one n the cart?

IceJOKER [234]

Work done on cart
:

W
=
6000

J
Kinetic energy of cart
:

E
K
=
6000

J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300

N

⋅
20

m
⇒
W
=
300

kg

⋅

m s
−
2

⋅
20

m
⇒
W
=
300
⋅
20

kg

⋅

m
2

s
−
2
⇒
W
=
6000

kg

⋅

m
2

s
−
2
∴
W
=
6000

J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000

7 0

3 years ago

Given a polynomial f(x), if (x + 7) is a factor, what else must be true? f(0)=7 f(0)=-7 f(7)=0 f(-7)=0

Nataly [62]

F(-7)=0

Because that makes the (x+7) factor equal zero and any other factor multiplied by zero also results in zero.

7 0

3 years ago

Read 2 more answers