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Kryger [21]
3 years ago
10

3. Use the diagram to answer the following questions.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

A. There are 8 points: A, B, C, D, E, F, G and H

B. There are 9 lines in the figure: AB, BC, AC, DE, DF, EF, BE, AD and CF

C. There are 5 planes in the figure: ABC, DEF, ABED, ACFD and BEFC

D. Three points are collinear if they lie on the same line. Collinear points are D,G and F or C,H and F

E. Coplanar points are those which lie in the same plane. Coplanar points are B, E, F and C or A, C, F and D or A, B, E and D or other combinations of four points lying in the same plane

I. Planes ABC and ABE intersect by a line AB

G. Planes BCH and DEF intersect by a line EF

H. Lines AD and DF intersect at a point D

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Clara invests $5,000 in an account that pays 6.25% interest per year. After how many years will her investment be worth $10,000?
Pepsi [2]
T=log(10000/5000)/log(1.0625)=11.4y
7 0
3 years ago
Can someone help me with (a) and (c)? Thanks! ;D
BaLLatris [955]

Answer:

Step-by-step explanation:

a) Mark any two points in line a

(0,7)  ; (5,-3)

Find the slope

slope = y2 - y1 /x2-x1

=\frac{-3-7}{5-0}\\\\=\frac{-10}{5}\\\\=-2

Equation: y-y1 = m(x-x1)

y - 7 = -2(x - 0)

y - 7 = -2x

y = -2x + 7    --------> line a

c) equation of line b

(2,-1);  slope = -2  {as b line is parallel to line a}

y - y1 =m(x-x1)

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

y + 1 = -2x - 2*-2

y + 1 = -2x + 2

y = -2x + 2 -1

y = -2x +1   ------> equation of line b

5 0
3 years ago
In the equation 3x - 9 = 3, what is the first step we should do?
zavuch27 [327]

Anse

draw the line down the equal sign

Step-by-step explanation:

4 0
3 years ago
Select the correct solution for the expression. 2/5 + 3/8
yaroslaw [1]

Answer:

b

because when you try to find the common denominator the lowest number is 40. so you then multiply the 2x8 and the 3x5 that gives you 16/40 + 15/40 = 31/40

6 0
2 years ago
Would like scatter plot image with line of best fit on the plot
dlinn [17]

Just take it in co-ordinate pairs

  • (x,y)=(Arm span,Height)

Take two points

  • (58,60)
  • (41,40)

Slope:-

\\ \sf\longmapsto m=\dfrac{40-60}{41-58}

\\ \sf\longmapsto m=\dfrac{-20}{-17}

\\ \sf\longmapsto m=\dfrac{20}{17}

\\ \sf\longmapsto m\approx 1.2

Equation of line in point slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y-60=1.2(x-58)

\\ \sf\longmapsto y-60=1.2x-69.6

\\ \sf\longmapsto 1.2x-y-9.6=0

  • Convert to slope intercept form y=mx+b

\\ \sf\longmapsto y=1.2x-9.6

Graph attached

7 0
3 years ago
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