What is the measure of RST? a)44 degrees b)23 degrees c)46 degrees d)92 degrees

Which of the following strategies is appropriate for factoring polynomials with 4 terms?

labwork [276]

I would say D, determine if it can be factored by grouping (sorry, I forgot to put in the answer here).

5 0

2 years ago

I need help 6x-2y=10 x-2y=-5 solve by elimination

dem82 [27]

<h3>Explanation</h3>

Given the system of equations.

$\begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}$

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

$\begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}$

There as we can get rid of the y-term by adding both equations.

$(6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3$

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

$x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4$

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

Answer Check by substituting both x and y values in both equations.

First Equation

$6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}$

Second Equation

$x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}$

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

<h3>Answer</h3>

$\begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)$

8 0

3 years ago

HELP WITH THESE TWO MATH QUESTIONS PLEASE!!! ASAP!

Brilliant_brown [7]

The first picture would be choice answer c because the number of x's represent how many birds wings are this size. The number on the tic mark represents the size of the wing span. So you would take the number of x's times the tic mark represented under it. There are 3 birds with 3 1/8 wingspan so it wold be 3 1/8 *3. Hoped this helps for the first one!

8 0

2 years ago

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is

PolarNik [594]

Complete question :

Chef Charming and his mother sell cheese steak sandwiches at their food truck. They use fresh onions, and cook them slowly to caramelize them before putting them on their sandwiches.

Charming found a pre-cooked onion that was $8.3 per pound AP$, with 100% Yield. He wants to save money but isn't sure if that is a better deal than cooking the fresh onions himself.

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is the EP$ for the fresh onions, after caramelizing?

Answer:

$3.74

Step-by-step explanation:

Cost of fresh onions = $1.87 per pound

Percentage yield = 100% after caramelizing

Therefore EP$ for the fresh onions after caramelizing will be :

(1 + percentage yield) * cost of fresh onions

(1 + 100%) * $1.87

(1 + 1) * $1.87

2 * $1.87

= $3.74

3 0

2 years ago

Find the equation of the line that contains the point (-4,-1) and is perpendicular to the line 4x+5y=15. Write the line in slop

AlexFokin [52]

Hope this was helpful

7 0

2 years ago