Answer:
y = - 4
Step-by-step explanation:
Given
y = 2x + ( - 2) , that is
y = 2x - 2 ← substitute x = - 1
y = 2(- 1) - 2 = - 2 - 2 = - 4
This is confirmed by the point (- 1, - 4 ) on the graph
The mAngleVSR m Angle VSR is mathematically given as
= 80°
This is further explained below.
<h3>What is mAngleVSR?</h3>
Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.
The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore
m∠VSU = m∠RST = 100°
m∠RSV = m∠UST
In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som
m∠RSV = 180° - m∠VSU =180° - 100° = 80°
Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).
Read more about angles
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Answer:
length = 8
width = 4
Step-by-step explanation:
Area = length x breadth
Let x represent the width
length = x + 4
32 = x × (x + 4)
32 = x² + 4x
x² + 4x - 32 = 0
solving using quadratic equation =
(x² - 4x) -32 + 8x
x = 4 or -8
since width cannot be a negative number, we would use 4
Answer:
n+4=32
Step-by-step explanation:
The initial number n gets additional 4 students making the new total number of students to be 32. Therefore, this situation can be represented as
n+4=32
To get the actual number of students before the additio, we make n the subject of formula hence
n=32-4
n=28
Therefore, the initial number was 28 and the equation is n+4=32
Since no choices were provided, the equation that can be modified is n+4=32