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2 years ago

Name the perpendicular lines

Mathematics

2 answers:

kotegsom [21]2 years ago

8 0

Answer:

segment UV (put a line above it) and YW(put a line above it)

Step-by-step explanation:

olganol [36]2 years ago

7 0

UV and YW
That should be the answer

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Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.

Vitek1552 [10]

The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+i is a root, so 6-i is also a root.

So the simplest polynomial you can build with these roots is

(x - (-5)) (x - (6 + i )) (x - (6 - i )) = x ^3 - 7x ^2 - 23x + 185

(first choice)

8 0

2 years ago

Mrs. Lavetan has 45 to complete her writing paper. She spend 10 and 1/8 min to planning her paper and 15 and 1/2 minutes weighti

Flura [38]

Answer: 20 minutes

Step-by-step explanation:

She has 45 mins to complete her writing paper.

She spends: $10\frac{1}{8}$ minutes to plan her paper.

She spends: $15\frac{1}{2}$ minutes writing rough drafts.

How much time left does she have?

$45-(10\frac{1}{8} +15\frac{1}{2})$

$45-(10+15(\frac{1}{8}+\frac{1}{2}))$

$45-(25\frac{(1)(2)+(8)(1)}{(8)(2)})$

$45-(25\frac{2+8}{16} )$

$45-(25\frac{10}{16})$ Simplify the fraction.

$45-(25\frac{5}{8})$

$45-25(\frac{5}{8})$

So she has approximately,

$20\frac{5}{8} =\frac{165}{8}= 20$ minutes.

8 0

3 years ago

How do I solve 4cos^2 x -1=0

tekilochka [14]

$(cosx)^{2} = 1/4$ <=> cosx = +1/2 or cosx = -1/2;
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;

5 0

2 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPP

Annette [7]

Answer:

The equation of line in the form of Ax + By = C is: $\mathbf{4x+y=-17}$

Step-by-step explanation:

We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)

First we need to find slope and y-intercept of the line.

The slope is given i.e. m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, y-intercept can be found using:

$y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17$

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

$y=mx+b\\y=-4x-17$

Now writing in form of Ax + By = C

$y=-4x-17\\4x+y=-17$

So, the equation of line in the form of Ax + By = C is: $\mathbf{4x+y=-17}$ .

5 0

2 years ago

Describe proportional relationships

irga5000 [103]

the constant of proportionality

Step-by-step explanation:

proportional relationships are relationships between two variables where there are ratios equivalent. another way to think about them is that in a proportional relationship that one variable is always constant value times the other that constant is known as the constant of proportionality

4 0

2 years ago