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anastassius [24]
2 years ago
13

Find the equation of the line that contains the given point and with the given slope. Write the equation in slope-intercept form

, if possible, and graph the line (2,1); slope =3
Mathematics
1 answer:
kumpel [21]2 years ago
4 0

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the straight lines.

y-y1 = m(x-x1) + C

====> y - 1 = 3(x - 2)

====> y-1 = 3x -6

====> y = 3x - 5

hence the equation is y = 3x - 5

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that's hardly visible i wouldn't worry about it

Step-by-step explanation:

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8 0
3 years ago
The measures of two angles of a triangle are 23 degrees,and 67 degrees.is the triangle acute,right,or obtuse?
Margaret [11]
Trick question — it’s a right triangle.  Here’s why:
23 + 67 = 90.  All triangles have an interior angle sum of 180.  180 - 90 = 90.  90 degrees is right, and therefore, having a right angle, this is a right triangle.
7 0
2 years ago
(a) The lake behind a dam has an area of 55 hectares. When the gates in the dam are open, water flows out at a rate of 75 000 li
GaryK [48]

Answer:

a) The diagram shows a hemisphere with radius 6 cm.

Calculate the volume.

Give the units of your answer.

(The volume, V, of s sphere with radius r is V = 4/3πr³)

b). The diagram shows a prism ABCDEF.

The cross-section is a right angled triangle BCD. BD = 10 cm, BC = 5.2 cm and ED = 18 cm.

(i) a) Work out the volume of the Prism.

b) Calculate the angle BEC

c) The point G lies on the line ED and GD = 7 cm. Work out angle BGE

(Cambridge Assessment International Education. 0580/42, October/November 2019, Q 4)

(a)

(b)(i)a

(b)(i)b

(b)(i)c

2. The diagram shows a sector of a circle of radius 3.8 cm.

The arc length is 7.7 cm.

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3

7 0
2 years ago
Angie and Brian are running a bakery. They are going to make three kinds of banana bread: regular, one with extra sugar, and one
dolphi86 [110]

Answer:

150 regular loaves

125 loaves with extra sugar

100 loaves with extra bananas.

Step-by-step explanation:

Let R represent loaves of regular bread, S represent loaves with extra sugar, and B represent loaves with extra bananas. If they have 1200 bananas, 1050 cups of sugar, and 1075 cups of flour available, the number of each type of bread that Angie and Brian can make are given by the following system of equations:

3R+2S+5B=1,200\\3R+4S+1B=1,050\\2R+3S+4B=1,075

Solving the linear system:

3R+4S+1B-(3R+2S+5B)=1,050-1,200\\2S-4B=-150\\S=-75+2B\\\\3R+2*(-75+2B)+5B=1,200\\2R+3*(-75+2B)+4B=1,075\\3R+9B=1,350\\2R+10B=1,300\\\\3R+9B-1.5*(2R+10B)=1,350-(1.5*1,300)\\9B-15B=-600\\B=100\\2R+10*100=1,300\\R=150\\3*150+2S+5*100=1,200\\S=125

They should make 150 regular loaves, 125 loaves with extra sugar, and 100 loaves with extra bananas.

7 0
3 years ago
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