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3 years ago

Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)

Mathematics

1 answer:

Hoochie [10]3 years ago

8 0

Answer:

r = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to $\frac{1}{7}$

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

with (x₁, y₁ ) = (- 9, - 3) and (x₂, y₂ ) = (- 2, r)

m = $\frac{r+3}{-2+9}$ , that is

$\frac{r+3}{7}$ = $\frac{1}{7}$ ( cross- multiply )

7(r + 3) = 7 ( divide both sides by 7 )

r + 3 = 1 ( subtract 3 from both sides )

r = - 2

#SPJ1

4 0

2 years ago

Three consecutive integers add up to 51. What are these integers

kaheart [24]

Let the three consecutive integers be x, x+1 and x+2.

According to the question, x+x+1+x+2=51

=>3x+3=51

=>3x+3-3=51-3

=>3x=48

=>x=16

Hence, first integer = 16,

second integer = 16 + 1 = 17 and

third integer = 16 + 2 = 18.

3 0

3 years ago

2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.

Ad libitum [116K]

The value of x is 77 cm which will make the triangles similar by SSS similarity theorem

Given length of the three sides of one triangle are 35 , 20 and 20

and length of the three sides of another triangle are x, 44,44

We need to find the values of x by using SSS Similarity theorem

We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio

As both the triangles are isosceles triangles

Therefore ,

x/35 = 44/20=44/20 (Using ratio)

Solving the equation we get

x=44*35/20

x= 77

Hence the value of x is 77cm

Learn more about similarity of triangles here brainly.com/question/14285697

#SPJ10

8 0

2 years ago

You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What i

garik1379 [7]

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

3 0

3 years ago

The sides of ∆ABC inscribed in a circle are equidistant from the center. Tricia says that ∆ABC must be equilateral. Which explai

lisabon 2012 [21]

Answer:

Tricia is correct because the sides of the triangle are congruent since they are equidistant from the center of the circle.

Step-by-step explanation:

Given that the sides of ΔABC inscribed in a circle are equidistant from the center. This implies the triangle is drawn within the circumference of the circle with a center.

Bisecting the three sides of the triangle shows that the three bisectors intersect at a point which is the center of the circle, and the lines are equidistant to this point. This proves that the length of the sides of the triangle are equal, so that the triangle is an equilateral triangle. Therefore, Tricia's statement is correct.

3 0

3 years ago