3²×2^4 ×3³×2=
3^5×2^5=
243 × 32 = 7776
First, you need to collect the like terms; 7x + (-20 - 90). Next simplify; 7x - 110
answer; 7x - 110
The answer is BC = 38.22 cm.
<u>Step-by-step explanation</u>:
We have, ∠BKD = 120° ,BK = 28 cm, Draw a perpendicular from point K on BC let it intersect at point M. In right angled ΔBMK, ∠BKM=30° and BK = 28 cm
sin30° = perpendicular/hypotenuse
1/2 = BM/BK
1/2 = BM/28
BM= 14 cm
Now , In right angled ΔBMK ,
cos30° = base/hypotenuse
√3/2 = MK/28
MK = 14√3 = 24.22 cm
KMCD is a square MK = MC = 24.22 cm
also, BC = BM + MC , putting values of BM & MC we get :
BC = 14 cm + 24.22 cm
BC = 38.22 cm.
1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4
<h2>
Answer: slope = - 95</h2><h2>
</h2>
Step-by-step explanation:
The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.
<u>
</u>
<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (91 - (- 4)) ÷ (87 - 88)
= - 95
<em><u /></em>
<em><u /></em>
<em><u>Checking my answer:</u></em>
<em>Finding the Equation</em>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-4) = - 95 (x - 88)
y + 4 = - 95 (x - 88)
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>