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3 years ago

Write the equation in Standard Form. y+1 = - 4 (x+4)

Mathematics

2 answers:

hichkok12 [17]3 years ago

8 0

Y+4x+7 is the answer

AleksandrR [38]3 years ago

7 0

Answer:

y = -4x - 17

Step-by-step explanation:

y + 1 = -4 (x + 4)

First, distribute the -4

y + 1 = -4x - 16

Then subtract 1 from both sides to make the equation y=

y = -4x - 17

This makes the equation standard form

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Which set of angle measures can be used to construct an acute scalene triangle?

Doss [256]

Answer:

C = 36°, 57°, 87°

Step-by-step explanation:

scalene = all angles are different.

acute = all angles are under 90°.

triangle = all angles add up to 180°.

The only option that works for this is C) 36°, 57°, 87°

6 0

2 years ago

there was a total of $548 collected for the school play. the adult tickets cost $6 and the student tickets cost $4. if 12 more s

balandron [24]

You can first make the equations:

6x+4y=548
y-12=x

Here, you can use the substitution method and you get:

6(y-12)+4y=548
6y-72+4y=548
10y=620
y=62

Then there are 62 student tickets and 50 adult tickets.

7 0

2 years ago

Read 2 more answers

Find the ratio and simplify. In this triangle, find the ratio of the shortest side to the longest. A triangle has three sides w

schepotkina [342]

Well, the shortest will be 14.1 clearly, and the longest of all three is 15.2.

let's check the ratio from shortest to longest.

$\bf 14.1\implies \cfrac{141}{10}\qquad \qquad\qquad 15.2\implies \cfrac{152}{10}
\\\\\\
\cfrac{shortest}{longest}\qquad 14.1:15.2\qquad \cfrac{14.1}{15.2}\implies \cfrac{\quad \frac{141}{10}\quad }{\frac{152}{10}}\implies \cfrac{141}{10}\cdot \cfrac{10}{152}
\\\\\\
\cfrac{141}{152}$

4 0

3 years ago

Write down a simplified expression for the perimeter of this triangle:

Vinil7 [7]

Answer:

10x+11y-3w

Step-by-step explanation:

you just have to add the side up and do it by matching up with the values of the variable

8 0

3 years ago

Find the area of the composite figure

ehidna [41]

The figure is a trapezoid, albeit not possessing the same lengths for the left and right sides. If I'm not mistaken, it has another name or term. But I forgot.

Anyway, to solve the problem, let us chop-chop or break the figure into two parts or two polygons that we are familiar with - a rectangle and a triangle. See the attached image for a clearer presentation.

After breaking the original polygon into two parts as portrayed by the red broken line, we are also going to divide the equivalent value of each side.

Remember, a rectangle has two pairs of common sides. Since the upper side of the polygon has a length of 10 cm, then, the length of the lower side (the side at the left side of the broken line) is 10, too. The same goes for the length of the left side which is 5 cm, and therefore the length of the broken line is 5 cm. Please refer to the attached image, particularly the figures in green.

From the standpoint of the triangle, based on thee figure, it has a height of 5 cm and a base of 5 cm (15 cm- 10 cm). Did you get it? If yes, let's continue.

Solving Time! :D

1. Solve for the area of the rectangle.

$\begin{gathered}A_{rectangle}=L\times W\\=5\ cm \times 10\ cm\\=\bold{50\ cm^2}\end{gathered}$