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3 years ago

9

Reduce to simplest form. -3/5 + 1/3 = ___ (They are fractions)

2 answers:

AleksAgata [21]3 years ago

8 0

Answer:

-3/5 + 1/3 = ___

-9/15+5/3 equals -4/15

You cannot simplify this so the answer is -4/15.

AnnZ [28]3 years ago

6 0

Answer:

-4/15

Step-by-step explanation:(-3/15 x 3/3) + ( 1/3 x 5/5)

-9/15+ 5/15= -4/15

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

7 0

3 years ago

Which number is irrational? A) 16.5% B) 0.0675 Eliminate C) 8 3/4 D) π

iren2701 [21]

I would say A. 16.5 %

8 0

3 years ago

I NEED HELP PLEASE!<br><br> If you can help me with this you amazing!<br><br> Thank you

krek1111 [17]

Answer:

$a=-3$

Step-by-step explanation:

we have

$a-2=\frac{3+6a}{3}$

Solve for a

That means ----> Isolate the variable a

Factor 3 in the numerator right side

$a-2=\frac{3(1+2a)}{3}$

Simplify right side

$a-2=1+2a$

subtract a both sides

$a-2-a=1+2a-a$

$-2=1+a$

subtract 1 both sides

$-2-1=1+a-1$

$-3=a$

Rewrite

$a=-3$

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3 years ago

Write an algebraic expression for 84 more than the product of 167 and b

Ket [755]

Answer:

167b + 84

Step-by-step explanation:

Multiplication is indicated between a number and a variable by writing them next to each other. A "product" is the result of multiplication, so "the product of 167 and b" is written 167b.

If you want a value that is 84 more than that, you get it by adding 84.

167b + 84

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3 years ago

How to work out PEMDAS

larisa86 [58]

Oder of operations is this;

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3 years ago

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