Answer:
Step-by-step explanation:
Let the age of twins Jasmine and James = x years
For Jasmine,
Karlo told Jasmine to multiply her age by 3 and add 6.
Expression will be → 3x + 6
Then multiply this sum by 2,
We get the expression → 2(3x + 6)
Karlo told James to multiply his age b 2 and add 4,
Expression → 2x + 4
Then multiply this sum by 3,
Expression → 3(2x + 4)
A). Expression for Jasmine → 2(3x + 6)
Expression for James → 3(2x + 4)
Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
The point C must be in a line perpendicular tothe x-axis passing through the point B(3,7), then the oordinates of point C must be (3,0)
Answer: Coordinates of point C are (3,0)
Answer:
Step-by-step explanation:
You need to give all the fractions a common denominator so you can compare the numerators.
The least common multiple of 5, 8, 16, 4, 3 is 240.
⅖ = 96/240
⅞ = 210/240
15/16 = 225/240
¾ = 180/240
⅜ = 90/240
⅓ = 80/240
The only numerator between 96 and 210 is 180.
180/240 = ¾
⅖ < ¾ < ⅞
Answer/Step-by-step explanation:
The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.
Therefore:
7. <E = <G
Sum of interior angles of a quadrilateral = 360
Thus,
<E = (360 - (150 + 90))/2
<E = 120/2
<E = 60°
<E = <G (set of congruent opposite angles of a kite)
Therefore,
<G = 60°
8. <H = <F (set of congruent opposite angles of a kite)
<F = right angle = 90°
Therefore:
<H = 90°
<G = 360 - (90 + 110 + 90) (sum of quadrilateral)
<G = 70°
9. Based on trapezoid midsegment theorem, the equation should be:
MN = (AB + DC)/2
Thus:
8 = (14 + DC)/2
8 * 2 = 14 + DC
16 = 14 + DC
16 - 14 = DC
2 = DC
DC = 2
10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.
Therefore, m<A ≠ 50°
Rather, m<B = m<D = 120°
m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)
m<A = 70°