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3 years ago

Write the word sentence as an equation.

Mathematics

1 answer:

Mrrafil [7]3 years ago

3 0

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

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Which equation represents the line that passes through the points (4, 6) and (−2, −1)?

KatRina [158]

Find the slope first by using rise/run

$m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}$

$y=mx+b\\y=\frac{7}{6}x+b$

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

$-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}$

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

$y=\frac{7}{6}x+\frac{4}{3}$

8 0

2 years ago

In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please

KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

tangent Ф = Opposite side / Adjacent side

-Substitution

tan Ф = (x/4) / x

-Simplification

tan Ф = x / 4x

tan Ф = 1/4

- Find Ф

Ф = tan⁻¹(1/4) = 14°

- Find the other acute angle

The sum of the internal angles in a triangles equals 180°

Ф + Ф₁ + 90° = 180

-Solve for Ф₁

Ф₁ = 180 - 90 - 14

-Result

Ф₁ = 76°

3 0

2 years ago

Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, h

maksim [4K]

Answer:

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

6 0

2 years ago

How much of the circle is shaded? Write your answer as a fraction in simplest form.

NISA [10]

Answer:

2/7

Step-by-step explanation:

8 0

2 years ago

sineoko [7]

Answer:

The answer is D.

Step-by-step explanation:

40.5 multiplied by 21 is 850.5

7 0

2 years ago