GuideFoot - Learn Together, Grow Smarter. Logo

Questions in mathematics

📝 Answered - If $\triangle HLI \sim \triangle JLK$ by the SSS similarity theorem, then $\frac{ HL }{ JL }=\frac{ IL }{ KL }$ is also equal to which ratio? A. $\frac{ HI }{ JK }$ B. $\frac{ HJ }{ JL }$ C. $\frac{ IK }{ KL }$ D. $\frac{ JK }{ HI }$

📝 Answered - Solve: $|2 x-4| \leq 8$ Give your answer as an interval. Enter DNE if the inequality does not exist.

📝 Answered - The functions below represent the amounts of water released from two reservoirs over [tex]$x$[/tex] weeks: Reservoir A [tex]$f(x)=x^2-7 x+5$[/tex] Reservoir B [tex]$g(x)=3 x^2-6 x+2$[/tex] The function [tex]$h(x)=f(x)-g(x)$[/tex] represents the difference in the amounts of water released. Determine which statements about [tex]$h(x)$[/tex] and about the reservoirs are true. Check all that apply. [tex]$h( x )=-2 x ^2-13 x +6$[/tex] [tex]$h( x )=-2 x ^2- x +3$[/tex] Reservoir A releases less water than Reservoir B over 1 week. Reservoir A releases the same amount of water as Reservoir B over 1 week. Reservoir A releases more water than Reservoir B over 1 week.

📝 Answered - The formula for the area of a triangle is [tex]$A=\frac{1}{2} b h$[/tex], where [tex]$b$[/tex] is the length of the base and [tex]$h$[/tex] is the height. Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

📝 Answered - Use synthetic division and the Remainder Theorem to find the indicated value. [tex]f(x)=4 x^3-7 x^2-5 x+24 ; f(-2)[/tex]

📝 Answered - $4^{2^{40}}-3^{01^2}

📝 Answered - Prove algebraically that the product of an even number and an odd number is always even.

📝 Answered - Evaluate the expression $-9(y+10)$ when $y=12$.

📝 Answered - Pherris is graphing the function [tex]$f(x)=2(3)^x$[/tex]. He begins with the point [tex]$(1,6)$[/tex]. Which could be the next point on his graph? [tex]$(2,12)$[/tex] [tex]$(2,18)$[/tex] [tex]$(2,7)$[/tex] [tex]$(3,7)$[/tex]

📝 Answered - What ordered pair is the solution to the following system of linear inequalities? [tex]4 x-5 y \geq 11[/tex] [tex]3 x+6 y\ \textless \ 1[/tex] A. (-1,1) B. (2,-1) C. (0,0) D. (4,2)