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Sliva [168]
2 years ago
14

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!

Mathematics
1 answer:
romanna [79]2 years ago
5 0

Answer:

x = - 9, x = 10

Step-by-step explanation:

Given

x² - x - 90 = 0

Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)

The factors are - 10 and + 9, since

- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus

(x - 10)(x + 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 9 = 0 ⇒ x = - 9

lesser x = - 9

greater x = 10

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93.64m to metres and centimetres
Wewaii [24]

Answer: 9,364cm

Step-by-step explanation: 1 meter = 100 centimeters so it’s 93.64(100) = 9,364

5 0
2 years ago
a map distance of 5 inches represents 200 miles of actual distance suppose the distance between two cities on the map is 7in wha
Lesechka [4]

5in : 200mi

7in : xmi

One inch represents 40 miles.

7 * 40 miles = 280 miles.


The two cities are 280 miles apart.

5 0
3 years ago
Read 2 more answers
Given that T is the centroid of △DEF and FT=12
dlinn [17]

The centroid of a triangle divides the median of the triangle into 1 : 2

The measure of FQ is 18, while the measure of TQ is 6

Because point T is the centroid, then we have the following ratio

\mathbf{TQ : FT =1 : 2}

Where FT = 12.

Substitute 12 for FT in the above ratio

\mathbf{TQ : 12 =1 : 2}

Express as fraction

\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}

Multiply both sides by 12

\mathbf{TQ =\frac{1 }{ 2} \times 12}

This gives

\mathbf{TQ =\frac{1 2}{ 2}}

Divide 12 by 2

\mathbf{TQ =6}

The measure of FQ is calculated using:

\mathbf{FQ = FT + TQ}

Substitute 12 for FT, and 6 for TQ

\mathbf{FQ = 12 + 6}

Add 12 and 6

\mathbf{FQ = 18}

Hence, the measure of FQ is 18, while the measure of TQ is 6

Read more about centroids at:

brainly.com/question/11891965

6 0
2 years ago
Rewrite the function in intercept form y=x^2+8x+15
gavmur [86]
<span>To do that, you need to set it all to zero and factor: x^2+8x+15 = 0 (x+5)(x+3) = 0 then put both those in parentheses chunks in their own equations x + 5 = 0 x + 3 = 0 and then simplify x = -5 x = -3 So the two points where the parabola crosses the x-axis are -5 and -3.</span>
3 0
3 years ago
In the school library, 28% of the books are non-fiction. If there are 1.224 fiction books in
denis-greek [22]

Answer:

1700 books

Step-by-step explanation:

We are given;

  • % of non-fiction books in the library as 28%
  • Number of fiction books in the library as 1,224 books

We are required to determine the total number of books.

First we determine the percentage of non-fiction books

We need to know that;

% of fiction books + % of non-fiction books = 100%

Therefore;

% of non-fiction books = 100 % - 28 %

                                    = 72%

Second we determine the total number of books

We know that;

Total number of books = 100%

But;

72% = 1,224 books

Therefore;

Total number of books = (1,224 × 100%) ÷ 72%

                                      = 1700 books

Hence, the library has a total number of 1700 books

7 0
2 years ago
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