Question

homework - wednesday 9.17.2025 solve the following problems without a calculator. you must show your work. no work (8.g.4) will be reflected across the line x = -4. what are the coordinates? find the value of y that makes the y² - 5 = 4 (7.rp.2) spent $385.89 on a shopping spree. if the tax rate 25%, how much did the items cost before tax was (7.g.) what is the value of angle x? homework - thursday 9.18.2025 the following problems without a calculator. you must show your work (8.ee.7) value of m that makes the equation below true. 7 + 16 = 4 + \frac{6}{11}m an ice - cream recipe require how many cups of sugar a 1 b 2 c 3 d 4 3/4 cups of sugar for (8.g) under a dilation of scale factor 3 with the center at the origin, what will be the coordinates of the image of

Explanation:

Step1: Solve the equation $y^{2}-5 = 4$

Add 5 to both sides of the equation.
$y^{2}=4 + 5$
$y^{2}=9$

Step2: Find the square - root of both sides

$y=\pm\sqrt{9}$
$y=\pm3$

Step3: Solve the equation $7 + 16=4+\frac{6}{11}m$

First, simplify the left - hand side of the equation.
$23=4+\frac{6}{11}m$

Step4: Subtract 4 from both sides

$23−4=\frac{6}{11}m$
$19=\frac{6}{11}m$

Step5: Solve for m

Multiply both sides by $\frac{11}{6}$.
$m = 19\times\frac{11}{6}=\frac{209}{6}=34\frac{5}{6}$

Step6: Find the value of angle x

Since the sum of angles around a point is $360^{\circ}$ and we have a right - angle ($90^{\circ}$) and an angle of $51^{\circ}$, and assuming the angles are part of a set of angles around a point or in a geometric relationship where we can use angle - sum properties.
If we assume the angles are adjacent and form a straight - line or a complete rotation around a point, and we know one angle is $51^{\circ}$ and another is $90^{\circ}$, and we are looking for the third angle x in a set of angles that sum to $180^{\circ}$ (if they are on a straight - line).
$x=180-(90 + 51)$
$x = 39^{\circ}$

Answer:

For $y^{2}-5 = 4$, $y = 3$ or $y=-3$; for $7 + 16=4+\frac{6}{11}m$, $m=\frac{209}{6}$; for the angle problem, $x = 39^{\circ}$