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Mathematics

2 answers:

lilavasa [31]3 years ago

7 0

Answer: 21.5in squared

Step-by-step explanation:

mina [271]3 years ago

4 0

Answer:

4 Times 5 equals = 20

Step-by-step explanation:

4 Goes into what number 5 times. 20 ÷ 4 = 5

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Jim is 18 years older than Taylor. Andre is twice as old as Taylor. The sum of their ages is

Jet001 [13]

Answer:

Step-by-step explanation:

Taylor: x

Jim: x + 18

Andre: 2x

Sum: x + (x + 18) + 2x = 26 ↔ x = 2

3 0

2 years ago

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Write the equation for the parabola that has x− intercepts (1.2,0) and (4,0) and y− intercept (0,12).

zzz [600]

Equation of a parabola is written in the form of f(x)=ax²+bx+c.
The equation passes through points (4,0), (1.2,0) and (0,12), therefore;
replacing the points in the equation y = ax² +bx+c
we get 0 = a(4)²+b(4) +c for (4,0)
0 = a (1.2)²+ b(1.2) +c for (1.2,0)
12 = a(0)² +b(0) +c for (0,12)
simplifying the equations we get
16a + 4b + c = 0
1.44a +1.2b + c = 0
+c = 12
thus the first two equations will be
16a + 4b = -12
1.44 a + 1.2b = -12 solving simultaneously
the value of a = 5/2 and b =-13
Thus, the equation of the parabola will be given by;
y= 5/2x² - 13x + 12 or y = 2.5x² - 13x + 12

3 0

3 years ago

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M(2,5) is the midpoint of RS. The coordinates of S are (3,9). What are the coordinates of R?

kobusy [5.1K]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ R(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad S(\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{3+x}{2}~~,~~\cfrac{9+y}{2} \right)~~=~~\stackrel{M}{(2~,~5)}\implies \begin{cases} \cfrac{3+x}{2}=2\\[1em] 3+x=4\\ \boxed{x = 1}\\ \cline{1-1} \cfrac{9+y}{2}=5\\[1em] 9+y=10\\ \boxed{y=1} \end{cases}$