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MariettaO [177]
3 years ago
15

Matt built a cage for his snake. The top of the cage was in the shape of a right triangle. One leg of the top was 4x + 2 feet. T

he second leg of the top was 3x +1 feet. He built a second cage using the same format but he increased each side by 4 feet. Which expression represents the area, S, for the top of the second cage?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0
We can do S=1/2 of (4x+2)+4 * (3x+1) +4. All we are doing is adding 4 feet. I believe you are able to simplify it to 1/2 of 4x+6 * 3x+5
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Y + 2 =1/2(x – 3).<br><br> Please help ?!?
Sidana [21]

first, spread the parenthesis. y+2=1/2x-1.5

second, add 1.5 to both sides. y+3.5=1/2x

third, multiply by 2. 2y+7=x

if you are solving for y, do not do the third step, instead, subtract by 3.5. y=x-3.5

hope this helps!

ANSWER: x=2y+7 or y=x-3.5

6 0
4 years ago
Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.
mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)

Now we will find the combinations in which these arrangements can be done.

1 Boy and 3 girls = ^{6}C_{1}\times^{4}C_{3}=6\times4=24

2 Boy and 2 girls=^{6}C_{2}\times^{4}C_{2}=\frac{6!}{4!\times2!}\times\frac{4!}{2!\times2!}=15\times6=90

3 Boys and 1 girl = ^{6}C_{3}\times^{4}C_{1}=\frac{6!}{4!\times2!}\times\frac{4!}{3!}=\frac{6\times5\times4}{3 \times2} \times4=80

4 Boys = ^{6}C_{4}=\frac{6!}{4!\times2!} =\frac{6\times 5}{2\times1}=15

Now total number of ways = 24 + 90 + 80 + 15 = 209

7 0
3 years ago
Round 1.965 to the nearest tenth.
riadik2000 [5.3K]

Answer: 2

Step-by-step explanation:

5 0
3 years ago
The area formed by a plane cutting through a solid perpendicular to its axis is a
kvasek [131]
<span>cross is my best answer</span>
8 0
4 years ago
Read 2 more answers
The equation represents an ellipse. which points are the vertices of the ellipse? (7, 1) and (7, −5) (7, −10) and (7, 6) (10, −2
OleMash [197]

The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).

<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>

The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.

Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;

(x-h)²/a² +(y-k)²/b² = 1.

Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.

Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).

The vertices in this scenario are therefore;

(7+8, -2) and (7-8, -2).

= (15, -2) and (-1, -2).

Read more on vertices of an ellipse;

brainly.com/question/9525569

#SPJ1

7 0
2 years ago
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