Answer: 6m^2 +m -40
Step-by-step explanation: Distributing binomials calls for the FOIL method.
Multiply the First times the First: 3m×2m= 6m^2. (^2 means squared when we can't use superscript for exponents.)
Then multiply and combine the Outside and Inside terms: 2m ×8=16m. and -5 ×3m= -15m
16m - 15m = m
Then multiply the Last terms: -5×8= -40
You end up with
6m^2 + m -40
Answer:
y = 2/5x + 39/5
Step-by-step explanation:
point slope form is y = mx + b
so far we have y = 2/5x + b
m is slope which is given. We need to find b which is y-intercept.
They give us the point (-2,7). We can plug this into the equation to find b.
7 = 2/5(-2) + b
7 = -4/5 + b
b = 39/5
The equation now looks like y = 2/5x + 39/5
Given :
- An angle which measures 26.8° less than the measure of its complementary angle.
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To Find :
- The measure of each angle.
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Solution :
- Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .
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Now,
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According to the Question :
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![{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%2B%20%7B%28x%20-%2026.8%29%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%2B%20%7Bx%20-%2026.8%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20%7Bx%20-%2026.8%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20x%20%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%20%2B%2026.8%5E%7B%20%5Ccirc%7D%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20x%20%20%20%3D%20%20116.8%5E%7B%20%5Ccirc%7D%7D%7D)
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![{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%20%20%3D%20%20%20%20%5Cdfrac%7B116.8%5E%7B%20%5Ccirc%7D%7D%7B2%7D%7D%7D)
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![{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%20%5Cqquad%20%20%5Cfrak%7B%5Cpmb%7B%20%20x%20%20%20%3D58.4%5E%7B%20%5Ccirc%7D%7D%7D%7D)
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Therefore,
- Other angle = 58.4° – 26.8° = 31.6°
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Hence,
- The measure of the each angles are 58.4° and 31.6° .
Okay so you would subtract the 30 to get 210 then divide the 210 by 14 to get 15 so your inequality
![15\geq x](https://tex.z-dn.net/?f=15%5Cgeq%20x)
your original inequality is ![240\geq 30+14x](https://tex.z-dn.net/?f=240%5Cgeq%2030%2B14x)
Answer:
y=2x+10
Step-by-step explanation:
Find the slope by y1-y2/x1-x2. Which gets you 2. y=2x. Graph it so it goes through those to points.