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Kaylis [27]
2 years ago
12

-0.5 0 1 -2 1.5 Where is Point D on the number line? ?

Mathematics
2 answers:
strojnjashka [21]2 years ago
6 0
-1.9 is where Point D is
Over [174]2 years ago
4 0

Answer:

Its -1.9 for where point D is

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This would be false
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Amy is 9 years older than her brother john. their combined age is 23. write an expression to represent johns age (use x)
dedylja [7]
Let x the age of John
Amy's age = x + 9
from question, we get,
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2 years ago
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5x 2 +1=−13x−5 the two is an exponent for the 5x.
tester [92]

Answer:

x = - 2, x = - \frac{3}{5}

Step-by-step explanation:

Given

5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )

5x² + 13x + 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × 6 = 30 and sum = 13

The factors are 10 and 3

Use these factors to split the x- term

5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )

5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(5x + 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - \frac{3}{5}

3 0
3 years ago
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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
3 years ago
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