All categories

3 years ago

The coordinates of A, B,and C in the diagram are A(p,4), B(6,1), C(9,q). What equation correctly relates p and q?

Mathematics

2 answers:

pochemuha3 years ago

8 0

Answer:

Step-by-step explanation:

p+q=7

murzikaleks [220]3 years ago

7 0

I don't see any diagram. So, I'll just wing it.

Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)

Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)

p q
A 3 4 ⇒ 3 + 4 = 7
B 6 1 ⇒ 6 + 1 = 7
C 9 -2 ⇒ 9 + (-2) = 7

Notice that the sequence has an equation of p + q = 7.

You might be interested in

Which three lengths could be the lengths of the sides of a triangle?

faust18 [17]

B. 10 cm, 15 cm, 24 cm

8 0

3 years ago

A total of 26 bills are in a cash box. Some of the bills are one-dollar bills, and the rest are five-dollar bills. The total amo

kobusy [5.1K]

Answer:

Number of 1 $ bill = 20

Number of 5 $ bill = 6

Explanation:

Let p represent number of one dollar bolls and q represent number of five bills.

A total of 26 bills are in a cash box.

p + q = 26 ------------------------- Equation 1

The total amount of cash in the box is $50

p + 5q = 50 ------------------------- Equation 2

Equation 2 - Equation 1,

p + 5q - p -q = 50 - 26

4q = 24

q = 6

Substituting in equation 1.

p + 6 = 26

p = 20

Number of 1 $ bill = 20

Number of 5 $ bill = 6

3 0

4 years ago

What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by $V=s^2\cdot h$ , where $s$ is the base length and $h$ is the height. Substituting given values, we have: $V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}$

The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).

Substituting given values, we get:

$V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}$

Therefore, the total volume of the composite figure is $5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}$ (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

$V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark$

8 0

3 years ago

Write the equation of the line with the given slope and y-intercept.

Alex787 [66]

A) y=5x+8

See clipped image for explanation

Comment below if you have trouble seeing the image or if you have more questions :)

4 0

3 years ago

Plz, Help me with this question.

lana [24]

Answer:

tjfubckg6bhutn7gid

Step-by-step explanation:

y k j j k u hhgxhfjfrgjtdjfgbyrgfutgjiurgiihfcjtddujcfttfutfitfigdghtyfhbnnfugfigcjfjhkvgbinvhvnvgcchgxcfjfbfucfdbg7gftgrxj6fitr4thtd5gu7h8h8rr8rr5r6748prduigjc8t7g7g7tryio9uhjkkiyfftgcdt54444rj yhcrhxybkchhy k j j k u hhgxhfjfrgjtdjfgbyrgfutgjiurgiihfcjtddujcfttfutfitfigdghtyfhbnnfugfigcjfjhkvgbinvhvnvgcchgxcfjfbfucfdbg7gftgrxj6fitr4thtd5gu7h8h8rr8rr5r6748prduigjc8t7g7g7tryio9uhjkkiyfftgcdt54444rj yhcrhxybkchhy k j j k u hhgxhfjfrgjtdjfgbyrgfutgjiurgiihfcjtddujcfttfutfitfigdghtyfhbnnfugfigcjfjhkvgbinvhvnvgcchgxcfjfbfucfdbg7gftgrxj6fitr4thtd5gu7h8h8rr8rr5r6748prduigjc8t7g7g7tryio9uhjkkiyfftgcdt54444rj yhcrhxybkchh

6 0

3 years ago