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3 years ago

Can measurment be used with gcf

Mathematics

1 answer:

Tcecarenko [31]3 years ago

5 0

What does "gcf" stand for?

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To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

4 0

3 years ago

Write the equation of a line, in SLOPE INTERCEPT FORM, that is perpendicular to the given equation and passes through the given

adoni [48]

Step-by-step explanation:

slope interception formula is

y-y1=m(x-x1)

where m is m=y-y1/x-x1 in this case m=-2 because the line we are trying to find is parallel to the given one y=-2x-6 where slope k=-2

so the final equation would be

y-1=-2(x-(-4))

y-1=-2x-2*4

y=-2x-8+1=-2x-7

4 0

3 years ago

Help number 5 15 pointsss

r-ruslan [8.4K]

Answer:

x=101

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Could somebody help me with this please

alekssr [168]

Answer:

x = 19°

Step-by-step explanation:

.........................

Forgive me if wrong

7 0

2 years ago

Read 2 more answers

If x+1 and x-1 are the factors of the polynomial ax^3 + x^2 - 2x +b,find the values of a and b

Nadusha1986 [10]

The polynomial remainder theorem says that dividing a polynomial $p(x)$ by $x-c$ leaves a remainder of $p(c)=0$ if $x-c$ is a factor of $p(x)$ . In this case, check $c=-1$ and $c=1$ .

$a(-1)^3+(-1)^2-2(-1)+b=-a+b+3=0$

$a(1)^3+(1)^2-2(1)+b=a+b-1=0$

From the first equation,

$-a+b+3=0\implies a=b+3$

and substituting into the second gives

$(b+3)+b-1=0\implies2b+2=0\implies b=-1\implies a=2$

3 0

3 years ago