1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
brilliants [131]
3 years ago
11

Find the missing coefficient. (5d-7)(5d-6)=25d^2+__d+42

Mathematics
2 answers:
krok68 [10]3 years ago
6 0

Answer:

-65

Step-by-step explanation:

(5d-7)(5d-6)

5d(5d)+5d(-6)-7(5d)-7(-6)

25d^2+-30d+-35d+42

25d^2+-65d+42

The missing coefficient of d is -65.

andrezito [222]3 years ago
6 0

Answer:

25d^2 -65d +42

Step-by-step explanation:

(5d-7)(5d-6)=25d^2+__d+42

FOIL

(5d-7)(5d-6)=

First  5d*5d = 25d^2

Outer  5d*-6 = -30d

Inner  -7*5d = -35d

Last = -7*-6 = 42

Add them together

25d^2 -30d -35d +42

25d^2 -65d +42

You might be interested in
Please help me for the love of God if i fail I have to repeat the class
Elena-2011 [213]

\theta is in quadrant I, so \cos\theta>0.

x is in quadrant II, so \sin x>0.

Recall that for any angle \alpha,

\sin^2\alpha+\cos^2\alpha=1

Then with the conditions determined above, we get

\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35

and

\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}

Now recall the compound angle formulas:

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta

\sin2\alpha=2\sin\alpha\cos\alpha

\cos2\alpha=\cos^2\alpha-\sin^2\alpha

as well as the definition of tangent:

\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}

Then

1. \sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}

2. \cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}

3. \tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}

4. \sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}

5. \cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}

6. \tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7

7. A bit more work required here. Recall the half-angle identities:

\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2

\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2

\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}

Because x is in quadrant II, we know that \dfrac x2 is in quadrant I. Specifically, we know \dfrac\pi2, so \dfrac\pi4. In this quadrant, we have \tan\dfrac x2>0, so

\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32

8. \sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}

6 0
4 years ago
What is .61 repeating as a fraction and how did you get the answer
vivado [14]
61/100, because if it is 0.(value) than it is value / 100 assuming value is 2 digits long. We cannot simplify it further because 61 is prime number.
7 0
3 years ago
A bus travels at 10 km in 30 minutes. What is the average speed of the bus?
zhannawk [14.2K]

Answer:

20 kph

Step-by-step explanation:

Step 1:

10 : 30         Ratio

Step 2:

60 mins in hour        

Step 3:

10 : 30 = x : 60        Equation

Step 4:

30x = 600       Multiply

Step 5:

x = 600 ÷ 30         Divide

Answer:

x = 20

Hope This Helps :)

8 0
3 years ago
If 1,080 students attend sunshine middle school how many teachers can teach at the school? side note 1 teacher can teach 27 stud
sergij07 [2.7K]

Answer: 40

Step-by-step explanation: I’m not too sure but 1,080 divided by 27 equals 40

3 0
2 years ago
If is parallel to , which statement must be true?
tatuchka [14]
The answer is B because they can’t interest but perpendicular can
8 0
3 years ago
Other questions:
  • Solve each inequality and graph the solutions , ILL MARK BRAINLIST !!!!
    13·1 answer
  • Rewrite the expression with the given base.<br><br> 125^2x with a base of 5
    12·2 answers
  • Refer to the Venn diagram that represents the sports students chose to play at South High School last year. Select the correct d
    14·1 answer
  • Solve for y 10.3=0.6y
    10·2 answers
  • In the notation "s(x) = ...," what does "s(x)" represent?
    8·2 answers
  • A car travels 100 meters in 5 seconds. Whats is the speed of the car
    12·1 answer
  • (4y^2)^3(3y^2) Please help :)
    12·2 answers
  • If two dice are rolled one time, find the probability of getting: a sum grater than 10\
    11·1 answer
  • Find the length of the arc . round your answers to the nearest tenth PLEASE HURRY
    14·1 answer
  • A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!