GuideFoot - Learn Together, Grow Smarter. Logo

Questions in mathematics

📝 Answered - Select the correct answer. $\overleftrightarrow{A B}$ and $\overleftrightarrow{B C}$ form a right angle at point $B$. If $A=(-3,-1)$ and $B=(4,4)$, what is the equation of $\overleftrightarrow{B C}$ ? A. $x+3 y=16$ B. $2 x+y=12$ C. $-7 x-5 y=-48$ D. $7 x-5 y=48$

📝 Answered - The slope-intercept form of the equation of a line that passes through point $(-3,8)$ is $y=-\frac{2}{3} x+6$. What is the point-slope form of the equation for this line? A. $y-3=-\frac{2}{3}(x+8)$ B. $y+3=-\frac{2}{3}(x-8)$ C. $y+8=-\frac{2}{3}(x-3)$ D. $y-8=-\frac{2}{3}(x+3)$

📝 Answered - Find the range of values of [tex]$x$[/tex] for which [tex]$2 x^2+7 x-15>0$[/tex]

📝 Answered - What percentage of 0.75 is 0.45? A. $50 \%$ B. $30 \%$ C. $36 \%$ D. $60 \%$ Arrange the following fractions in ascending order. A. $\frac{2}{3}, \frac{3}{4}, \frac{5}{8}, \frac{7}{12}$ B. $\frac{7}{12}, \frac{5}{8}, \frac{2}{3}, \frac{3}{4}$ C. $\frac{5}{8}, \frac{7}{12}, \frac{3}{4}, \frac{2}{3}$ D. $\frac{3}{4}, \frac{5}{8}$ The average score of 30 students in a mathematics test is 6. If 28 out of 30 students obtained a total of 160 marks, find the average mark of the two remaining students. A. 4 B. 20 C. 10 D. 6 In the diagram below, calculate the value of X. A. 164 B. 6 C. 20 D. 36 What is the sum of $15438, 2431, 1626$ and 502492? A. 520897 B. 421987 C. 521987 D. 520789

📝 Answered - Factor the trinomial completely. [tex]12 w^2+11 w-15[/tex]

📝 Answered - Graph this system of equations: [tex]$\begin{array}{l} 1.15 x+0.65 y=8.90 \\ x-3 y=-15 \end{array}$[/tex]

📝 Answered - When ordering a pizza, you have a choice of 2 types of crust: thin crust (T) or hand-tossed (H), a choice of 4 types of sauces: red (R), white (W), barbeque (B), or pesto (PI), and a choice of 3 types of toppings: mushroom (M), onions (O), or green peppers (G). If you are choosing only one of each, list the sample space in regard to the pizzas (combinations of crust, sauces, and toppings) you could pick from. Separate the elements of the sample space with commas.

📝 Answered - Mr. Bala paid $1161 for an equal number of files and highlighters. Each file cost $1.50 and each highlighter cost $1.30 more than a file. How many files did he buy?

📝 Answered - State whether the given sequence is ARITHMETIC or NOT. If it is arithmetic, give the common difference. 1. 8, 13, 21, 34, 55, ... 2. 8, 16, 24, 32, ... 3. 1/9, 1/27, 1/81, ... 4. 1296, 216, 36, 6, ... 5. %, 1, 5/4, 3/2, ... 6. 1/24, 1/20, 1/16, 1/12, ... 7. 6, -18, 54, -162, ... 8. 40, 8, 8/5, 8/25, ... 9. 11, 2, -7, -16, ... 10. 8.2, 8, 7.8, 7.6, ...

📝 Answered - Find the length of one of the sides of the rectangle (1) and square (2). 1. Area = 45 m², one side is 5 m, find the other side. 2. Area = 9 m², find the side length.