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3 years ago

Help!!!!Find the slope of the line on the graph.

Mathematics

1 answer:

artcher [175]3 years ago

8 0

Answer:

$m=\frac{-1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -4)

Point (-8, 0)

Step 2: Find slope m

Substitute: $m=\frac{0+4}{-8-0}$
Add/Subtract: $m=\frac{4}{-8}$
Simplify: $m=\frac{-1}{2}$

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Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.

Rus_ich [418]

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

= $\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})$

= $\frac{1}{2}(3.14)(10)^2+(40\times 20)$

= 157 + 800

= 957 square feet

8 0

3 years ago

Can anyone help me plz?

Nat2105 [25]

<h3>Answer: Third choice. $\overline{AC} \perp \overline{BD}$ </h3>

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Explanation:

SAS stands for Side Angle Side. Note how the angle is between the two sides. To prove the triangles congruent with SAS, we need to know two sides and an angle between them.

We already see that BC = CD as shown by the tickmarks. Another pair of sides is AC = AC through the reflexive theorem.

The missing info is the angle measures of ACB and ACD. If we knew those angles were the same, then we could use SAS to prove triangle ACB is congruent to triangle ACD.

It turns out that the angles are congruent only when they are 90 degrees each, leading to AC being perpendicular to BD. We write this as $\overline{AC} \perp \overline {BD}$ . The upside down T symbol meaning "perpendicular" or "the two segments form a right angle".