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2 years ago

MATH

Mathematics

1 answer:

vlada-n [284]2 years ago

5 0

Answer:

1,3

Step-by-step explanation:

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Which expression is equivalent to

bazaltina [42]

Answer:

Step-by-step explanation:

6m+9q-3mq+4m= 10m + 9q - 3mq = C

7 0

3 years ago

Read 2 more answers

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to p

Kryger [21]

Answer:

∠ DFC = 80°

Step-by-step explanation:

See the attached figure.

Since BFE is a straight line so, ∠ BFA + ∠ AFE = 180°

Now, ∠ AFE is given to be 125°.

So, ∠ BFA = 180° - 125° = 55°

Now, AFD is a straight line. So, ∠ BFA + ∠ BFC + ∠ DFC = 180°

⇒ 55° + 45° + ∠ DFC = 180° {Since, ∠ BFC is given to be 45°}

⇒ ∠ DFC = 180° - 55° - 45° = 80° (Answer)

4 0

3 years ago

Read 2 more answers

Write an equation of a line with slope -1 that contains point P(2,-4)

Maurinko [17]

Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

5 0

4 years ago

John is looking for a job after graduation. The salary which is satisfied with must be $3000 with a tolerance of $500. Which of

Hunter-Best [27]

Answer:

the answer is a

Step-by-step explanation:

6 0

4 years ago

svetlana [45]

Answer:

$\large \boxed{\sf \text{The rate of the boat is } 53 \ km/h \text{, the rate of the current is }8\ km/h \ \ }$

Step-by-step explanation:

Hello, let's note v the rate of the boat and r the rate of the current. We can write the following

$\dfrac{135}{v-r}=3=\dfrac{183}{v+r}$

It means that

$135(v+r)=183(v-r)\\\\135 v + 135r=183v-183r\\\\\text{ *** We regroup the terms in v on the right and the ones in r to the left***}\\\\(135+183)r=(183-135)v\\\\318r=48v\\\\\text{ *** We divide by 48 both sides ***}\\\\\boxed{v = \dfrac{318}{48} \cdot r= \dfrac{159}{24} \cdot r}$

But we can as well use the second equation:

$3(v+r)=183\\\\v+r=\dfrac{183}{3}=61\\\\\dfrac{159}{24}r+r=61\\\\\dfrac{159+24}{24}r=61\\\\\boxed{r = \dfrac{61*24}{183}=8}$

and then

$\boxed{v=\dfrac{159*8}{24}=53}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago