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kkurt [141]
2 years ago
15

gital Quick Check Which algebraic expression is not equivalent to 13x + 10? A 10(x + 1) + 3x B. 4x + 3 + 8x + 7 0. C. 13 + 2x +

3x – 3 + 8x D. 20x – 2 – 7x + 12​
Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Answer:

B is the answer

try all and see for yourself

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Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).
Licemer1 [7]

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =\frac{1k}{2k}= ratio 1:2

now

finding p

for this

(m_1,m_2)=(1,2)

For AB

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)

similarly

Q divides AB

Ratio of AQ and QB =\frac{2k}{1k}= ratio 2:1

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

(m_1,m_2)=(2,1)

by using division formula

(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)

4 0
2 years ago
A serving of chickenpeas contain 1,750 milligrams of potassium. how many grams of potassium is that
Sidana [21]

1.75 Grams is what I got. Every 1 Milligram = 0.001 Gram.

Hope it helps :)


8 0
3 years ago
A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest
Usimov [2.4K]

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

3 0
3 years ago
Please help. I have attached a picture.
Ksivusya [100]
Answer: Choice C) -1/3

The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)

To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.

7 0
3 years ago
Determine where the PHD Mathematicians live.
Pavlova-9 [17]

Answer:

the answer to A,B,C

Step-by-step explanation:

all the points are on the graph

all answers

b) slope -1

intercept 1

c)(x+3)(x-1)

intercepts (-3,0),(1,0)

vertex (-1,-4)

6 0
3 years ago
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