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NeTakaya
4 years ago
12

Write an equation Slope:0 Y-intercept:9

Mathematics
1 answer:
Aneli [31]4 years ago
4 0

Answer:

y=9

Step-by-step explanation:

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A student is 90 cm tall and growing at a rate of 3 cm per month. At this rate, in how many months will the student grow to a hei
Zolol [24]

Answer:

14 months

Step-by-step explanation:

14x3=42

42+90= 132

6 0
3 years ago
2 1/4 ÷( 3/8 ÷ 1/2 ) help
Triss [41]

<em>Hi there!</em>

<em>~</em>

<em></em>2 \frac{1}{4} \div ( \frac{3}{8} \div \frac{1}{2} )<em></em>

<em></em>= 3<em></em>

<em>Hope this helped you!</em>

7 0
4 years ago
Read 2 more answers
Given: ABCD is a trapezoid, m∠1=m∠2, m∠3=m∠4, AB = CD, AC ∩ BD = O <br> Prove: m∠AOD = m∠BCD
LiRa [457]
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D

Therefore also ∡2 = ∡3 (they are half of the congruent angles)

For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.

Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)

T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4

∡AOD = ∡BCD because their measure is the difference of congruent angles.

6 0
4 years ago
Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequen
Crank

Question:

Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

30

∑  (−3i+5)

i=1

Answer:

The first three terms are : 2, -1 and -4

The last term is: -85

The sum of the sequence is: -1245

Step-by-step explanation:

Given;

==================================

30

∑  (−3i+5)                    -------------------(i)

i=1

==================================

Where the ith term aₙ is given by;

a_{i} = -3i + 5         -------------------(ii)

(a) Therefore, to get the first three terms (a_1, a_2, a_3), we substitute i=1,2 and 3 into equation (ii) as follows;

a_{1} = -3(1) + 5 = 2

a_2 = -3(2) + 5 = -1

a_3 = -3(3) + 5= -4

Since the sum expression in equation (i) goes from i=1 to 30, then the last term of the sequence is when i = 30. This is given by;

a_{30} = -3(30) + 5 = -85

(b) The sum s_n of an arithmetic sequence is given by;

s_n = \frac{n}{2}[a_1 + a_n]   -----------------(iii)

Where;

n = number of terms in the sequence = 30

a_1 = first term = 2

a_n = last term = -85

Substitute the corresponding values of n, a_1 and a_n into equation (iii) as follows;

s_n = \frac{30}{2}[2 + (-85)]

s_n = 15[-83]

s_n = -1245

3 0
3 years ago
Please solve this problem!
Tems11 [23]

19 is the answer

hope it helps

8 0
3 years ago
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