Answer:
m = -2
Step-by-step explanation:
24 = -6(m + 1) + 18 (Given)
24 = -6(m) + -6(1) + 18 (Distributive Property of Equality)
24 = -6m - 6 + 18 (Simplify)
24 = -6m + 12 (Simplify)
24 - 12 = -6m + 12 - 12 (Subtraction Property of Equality)
12 = -6m (Simplify)
(Division Property of Equality)
-2 = m (Simplify)
m = -2 (Distributive Property of Equality)
Answer:
y = -x + 2
Step-by-step explanation:
If you know the slope and a point on the line, then you can find the equation with an equation:
(y - y1) = m (x - x1)
We have our slope, -1; we have a x1, -2, and a y1, 4, so we're all set to find the equation. Plug in the numbers:
y - 4 = -1 ( x + 2 )
y - 4 = -x - 2
y = -x + 2
Our equation is y = -x + 2
Answer: x = -2
<u>Step-by-step explanation:</u>
Find 2 numbers whose product is the c-value of 4 and their sum is the b-value of 4.
x² + 4x + 4 = 0
∧
1 + 4 = 5
2 + 2 = 4 <em>this works!</em> <em>so the factors are: </em>
(x + 2)(x + 2) = 0
x + 2 = 0 and x + 2 = 0
x = -2 and x = -2 --> <em>same answer so only need to list it once</em>
Congruent figures are:
Rectangle IJGH and rectangle QRPN
Triangle EDF and triangle BAC
Triangle LKP and triangle TSU
Solution:
To identify the congruent figures in the given figures:
Two polygons are congruent if they have the same size and same shape.
(1) Rectangle IJGH and rectangle QRPN are same shape.
IH ≅ QP
IJ ≅ QR
JG ≅ RN
HG ≅ PN
Therefore rectangle IJGH and rectangle QRPN are congruent figures.
(2) Triangle EDF and triangle BAC
ED ≅ BA
DF ≅ AC
EF ≅ BC
Therefore triangle EDF and triangle BAC are congruent figures.
(3) Triangle LKP and triangle TSU
LK ≅ TS
KP ≅ SU
LM ≅ TU
Therefore triangle LKP and triangle TSU are congruent figures.
This on is very easy go to my website so i can explain it better for you
<span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w
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