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3 years ago

What is 2/5 +(-3/15)

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

-281.25

Step-by-step explanation:

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Solve for x............

Yanka [14]

Step-by-step explanation:

because angle A and C are similar, so

9x-8=28

9x=36

x=4

5 0

3 years ago

Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa

oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120 km

b=70 km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )

(c^2 ) −211.907c+9500=0

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996

D>0

$c_{1,2}$ = (−q± $\sqrt{D}$ )/2p=(211.91± $\sqrt{6904.76}$ )/2

$c_{1,2}$ =105.95371114±41.5474295834

( $c_{1}$ −147.501140726)( $c_{2}$ −64.4062815596)=0

$c_{1}$ =147.501140726

$c_{2}$ =64.4062815596

5 0

3 years ago

Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.

miv72 [106K]

Answer:

C. $(-7x+60)(x+4)$

Step-by-step explanation:

Consider the expression $-7x^2+32x+240.$

First, note that

$a=-7\\ \\b=32\\ \\c=240$

Find the discriminant

$D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88$

Now,

$x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}$

Write the factored form:

$-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)$

8 0

3 years ago

Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.

Dmitry_Shevchenko [17]

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

translation (aka shifting)
rotation
reflection

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

5 0

2 years ago

The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?

lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

$x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5$

6 0

2 years ago