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Xelga [282]
3 years ago
15

Find the X intercept and the Y intercept from the following linear equation X+ 4y = -56

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

x-intercept = -56

y-intercept = - 14

Step-by-step explanation:

x + 4y = -56

x- intercept :

y = 0

x + 4*0 = - 56

x-intercept = -56

y-intercept:

x=0

0 + 4y = - 56

4y = -56

y = - 14

y-intercept = - 14

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The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

8 0
3 years ago
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
densk [106]

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

Or, \[y < = 300\] which is the constraint representing the incoming students.

7 0
3 years ago
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Taylor has a $30 gift card that she can spend at the store. She has already bought
Rudik [331]
That’s 30 dollars she has
5 0
2 years ago
A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C.
steposvetlana [31]
Putting all the names in a hat and selecting six students because the rest would not have been random because you know who you picked just by looking but if u put names in a hat you don't know who you picked.
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3 years ago
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Least to greatest -.6 -5/8 -7/12 -.72
svlad2 [7]

It would be:

-.72 < -5/8 < -.6 < -7/12


4 0
3 years ago
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