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Alona [7]
3 years ago
15

What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.​

Mathematics
2 answers:
tresset_1 [31]3 years ago
3 0

Y = mx+c

m is the gradient and c is the y-intercept so

4 = m(4) + (-4)

4 = 4m - 4

4m = 8

m = 2

Ans: Y = 2x - 4

labwork [276]3 years ago
3 0
4 = 4m - 4
8 = 4m
2 = m

y = 2x - 4
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A group of friends wants to go to the amusement park. They have no more than $155
seraphim [82]

Answer:

9 people can go

Step-by-step explanation:

6.50 is a one-time deal. we take that away once and we're done with it.

155 - 6.50 = 148.5

148.5 / 16.50 = 9

4 0
3 years ago
Choices;<br> a) 60degree<br><br> b) 70degree<br><br> c)80degree<br><br> d)90degree
storchak [24]

Answer:

∠ PTQ = 70°

Step-by-step explanation:

The angles subtended by the radii and tangents to the circle , sum to 180°

∠ PTQ + 110° = 180° ( subtract 110° from both sides )

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7 0
3 years ago
The total number of? restaurant-purchased meals that the average person will eat in a? restaurant, in a? car, or at home in a ye
zmey [24]

Answer:

<em>The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.</em>

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is x , in a car is y and at home is z

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

x+y+z=163 .............................(1)

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

y+z=x+13 ................................(2)

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

x= z+20..................................(3)

First, <u>substituting equation (2) into equation (1)</u>, we will get........

x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75

<em>Now plugging this x=75 into equation (3)</em>, we will get......

75=z+20\\ \\ \Rightarrow z=75-20= 55

<em>Plugging x=75 and z=55 into equation (1)</em> .........

75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

8 0
3 years ago
Type the correct answer in each box. Round your answers to the nearest integer.
QveST [7]
Did you ever find the awnser

5 0
3 years ago
Read 2 more answers
(21 POINTS) Don't explain answer just put what you got, I'm only comparing answers that's all.
m_a_m_a [10]

Answer:

This may not be that accurate as I am a bit rusty with trigonometry:

tan D: d/f

sin F: f/e

tan F: f/d

cos F: d/e

sin D: d/e

cos D: f/e

8 0
3 years ago
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