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SpyIntel [72]
3 years ago
15

Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

-(3.4p-6q+6) = -3.4p+6q-6

Step-by-step explanation:

Given

-(3.4p-6q+6)

Required

Simplify

-(3.4p-6q+6)

Rewrite as

-1(3.4p-6q+6)

-1 * (3.4p-6q+6)

Open the bracket

-3.4p+6q-6

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If you multiply the slopes of two perpendicular lines, the product is -1.
ki77a [65]

$-\frac{1}{2}\cdot2=-1

Slope of the line h is 2.

The equation for line h is y = 2x + 4.

Solution:

General equation of a line is y = mx + c,

where m is the slope of the line and c is the y-intercept.

In the given image, line g and line h are intersecting lines and perpendicular to each other.

Equation of line g is y=-\frac{1}{2} x+2.

Slope of the line g (m_1) = -\frac{1}{2}

If two lines are perpendicular, then the product of the slopes is –1.

⇒ m_1 \cdot m_2=-1

<u>To find the slope of the line h:</u>

$\Rightarrow-\frac{1}{2}  \cdot m_2=-1

$\Rightarrow  m_2=-1 \times(-2)

$\Rightarrow m_2=2

Slope of the line h is 2.

<u>To find the equation of a line h:</u>

Line h passing through the point (0, 4) and slope 2.

Point-slope formula:

\left(y-y_{1}\right)=m\left(x-x_{1}\right)

\left(y-4)=2\left(x-0\right)

y-4=2x

y=2x+4

The equation for line h is y = 2x + 4.

5 0
3 years ago
If y varies directly with x and Y equals 12 when X equals four what is the constant of proportionality
wariber [46]

Answer:

3

Step-by-step explanation:

If  y varies directly with x, we have:

y \propto x\\$Introducing the constant of proportionality, k\\y=kx

When y=12, x=4

Substituting these values into the equation

12=4k

k=12/4

k=3

The constant of proportionality is 3.

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3 years ago
Function questionsnndnfnfn
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The bottom right should be your answer

(a value of x cannot have two different values of y)
8 0
4 years ago
What is the value of x^2+y^2, if x+y=10 and x−y=8
pav-90 [236]

answer is equal to 82 coz x =9 and y=1

7 0
3 years ago
I have one more tens than ones. The value of my ones digit is 8. What number am i?
ioda
That number is 98. Your Welcome
4 0
3 years ago
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