Hey can you please help me posted picture of question :)
2 answers:
Answer:
The roots of the equation are -4 and -5
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
3x² + 27x + 60 = 0
By comparison, we could find that:
a = 3
b = 27
c = 60
Now, to get the roots we would use the quadratic formula shown in the attached image.
By substituting, we would find that:
either x =
or x =
This means that the roots of the equation are -4 and -5
Hope this helps :)
The roots of the equation are -4 and -5
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
3x² + 27x + 60 = 0
By comparison, we could find that:
a = 3
b = 27
c = 60
Now, to get the roots we would use the quadratic formula shown in the attached image.
By substituting, we would find that:
either x =
or x =
This means that the roots of the equation are -4 and -5
Hope this helps :)
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1. Check the drawing of the rhombus ABCD in the picture attached.
2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.
3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°
ii) are perpendicular to each other, so m(DOC)=90°
4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.
5. By the pythagorean theorem,
6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*
=
(
)
2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.
3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°
ii) are perpendicular to each other, so m(DOC)=90°
4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.
5. By the pythagorean theorem,
6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*
Answer:
Step-by-step explanation:
It is given that the snack shop makes 3 mixes of nuts in the following proportions.
Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.
Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.
Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.
they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.
We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.
Mix I Mix II Mix III
peanuts 6 5 3
cashews 2 3 4
pecans 2 2 2
The product of both matrices is
Therefore matrix AB gives the total number of lbs of each nut required to fill the order.