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arlik [135]
2 years ago
9

Use the information given to enter an equation in standard form.

Mathematics
1 answer:
nexus9112 [7]2 years ago
5 0

Answer:

y - 1.4x = - 6.8

Step-by-step explanation:

To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.

Slope: \frac{45-31}{37-27} = \frac{14}{10} = 1.4

Use point slope form: y - y₁ = m(x - x₁)

Plug in x = 27, y = 31, and m = 1.4

y - 31 = 1.4(x - 27)

y - 31 = 1.4x - 37.8

y = 1.4x - 6.8

Convert this into standard form: ax + by = c

y - 1.4x = - 6.8

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1. What is the value of h? (1 point)
irinina [24]

The value of h is 11.3.

Solution:

Given data:

The triangle is a right triangle.

θ = 45° and opposite side of θ = 8

The value of sin 45° = \frac{1}{\sqrt{2} }

Using trigonometric formula,

$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}

$\sin45^\circ=\frac{{8}}{h}

$\frac{1}{\sqrt{2} } =\frac{{8}}{h}

Do cross multiplication.

h = 8\sqrt 2

h = 11.3

The value of h is 11.3.

7 0
3 years ago
You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds on
kicyunya [14]

Answer:

400 ft²

Step-by-step explanation:

The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²

3 0
2 years ago
Write the number equal to 2 tens 15 ones
ivann1987 [24]
I believe it's 15, but correct me if I'm wrong
This is because there is one 10 in 15. This gives you 3 tens and 5 in the ones.
6 0
3 years ago
Read 2 more answers
1) any letters can change into an a
Dimas [21]
CAC can be changed into CAAC. This is because the first rule says that any letter can change into an A so
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Since A has been doubled,C needs to be doubled too.So:
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4 0
3 years ago
Kori bought 56 boxes of tiles from the home improvement store, which was es 4/7 of the total number of boxes that they had. How
dimaraw [331]

Answer:

98 boxes


Step-by-step explanation:

If 56 is  \frac{4}{7} of the total, we can set up an equation like this:

56=\frac{4}{7}*T

Where T is the total number of boxes.

Solving for T gives us the answer:

56=\frac{4}{7}T\\T=\frac{56}{\frac{4}{7}}\\T=56*\frac{7}{4}\\T=98

There were 98 boxes in total.

5 0
3 years ago
Read 2 more answers
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