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KatRina [158]
4 years ago
7

the base length of a particular triangle is 4 inches mote than its height. it the area of the triangle is 10.5 square inches, fi

nd the base length and height brainly
Mathematics
1 answer:
IRINA_888 [86]4 years ago
3 0

Answer:

<u>Height = 3 inches and Base length = 7 inches</u>

Step-by-step explanation:

1. Information provided to answer the question correctly:

Base of the triangle = x+ 4

Height of the triangle = x

Area of the triangle = 10.5 inches²

2. Find the base length and height

Let's recall the formula of the area of a triangle:

Area = (Base * Height)/2

Replacing with the values we know:

10.5 = x (x + 4)/2

21 = x² + 4x

x² + 4x - 21 = 0

(x + 7) (x - 3) = 0

(x₁ + 7) = 0 ⇒ x₁ = -7

(x₂ - 3) = 0 ⇒ x₂ = 3

We take  x₂ as the answer because x₁ = -7 is not a valid height.

<u>Height = 3 inches and Base length = 7 inches</u>

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Charra [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago
Please help me with this homework
yulyashka [42]
I disagree. The first one is false. No exponent rules apply if the bases AND the exponents are different.

The second one is true. Bases are the sane so you add exponents. You get 3 to the -5 power. Written with positive exponents it’s 1/3 to the 5.
7 0
3 years ago
According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exa
VMariaS [17]

The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

<h2>Given</h2>

Number of voters who support ballot initiative = 30 % = 0.30

Number of voters who does not support this initiative = 1 - 0.30 = 0.70

Number of voters selected for Surveying = 5

<h3>What is probability?</h3>

The probability of success and failure remain the same throughout the trials.

The probability that exactly 2 voters will be in favor of the ballot initiative is given by;

If P denotes Success and Q denotes failure;

\rm = ^{5}C_2 \times (0.3)^2 \times (0.70)^3\\\\= 10 \times 0.09 \times 0.343\\\\= 0.309

Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

To know more about Probability click the link given below.

brainly.com/question/20344726

3 0
3 years ago
F(x) = x^2 - 3x+ 5 g(x) = 2x^2 - 4x - 11 what is h(x) = f(x) + g(x)
iogann1982 [59]

Hey there! :)

Answer:

h(x) = 3x² - 7x - 6

Step-by-step explanation:

Calculate h(x) by adding the two polynomials:

h(x) = f(x) + g(x):

h(x) = x² - 3x + 5 + 2x² - 4x - 11

Combine like terms:

h(x) = 3x² - 7x - 6

5 0
3 years ago
Read 2 more answers
Will adding a negative number to another integer always result in a negative sum? Why?
Ghella [55]

Answer:

  D  No, the integer with the larger absolute value always determines the sign of the sum.

Step-by-step explanation:

Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, <em>the number in the sum that has the largest absolute value determines the sign of the result</em>. (This is most important when the signs differ, but it is also true when the signs are the same.)

7 0
4 years ago
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