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alisha [4.7K]
3 years ago
12

Help me with this problem please!

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0
Ok so you need to find the x and y- intercepts. to do this you simply plug 0 in for x and then for y, giving you the value of each variable.

15x + 20y = 1,800

15x + 20(0) = 1,800
15x = 1,800
x = 120

15(0) + 20y = 1,800 
20y = 1,800
y = 90

your x-intercept is (120,0)
your y-intercept is (0,90)
BartSMP [9]3 years ago
6 0
First you need to get the equation into y - intercept form in order to graph it. The equation needs to be in the form y=mx+b. do you know how to convert that equation to y=mx+b?
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Dominic invited 50 friends online to play fortnite. Seven players decided to play after 8pm, nine before and the rest the same t
Anastaziya [24]

Answer:

68% of Dominics friends went on at the same time as him.

Step-by-step explanation:

50-7-4=34

34/50 =0.68 x 100 = 68%

6 0
3 years ago
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Which phrases represent the expression k/2 - 5
Contact [7]

Answer:

K over two minus five

Step-by-step explanation:

I think?

3 0
3 years ago
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit
MAXImum [283]

Given:

The vertices of a right triangle are:

(-3,4),(3,4),(3,-4)

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are A(-3,4),B(3,4),C(3,-4).

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(3-(-3))^2+(4-4)^2}

AB=\sqrt{(3+3)^2+(0)^2}

AB=\sqrt{(6)^2+0}

AB=\sqrt{36}

AB=6

Similarly,

BC=\sqrt{(3-3)^2+(-4-4)^2}

BC=\sqrt{(0)^2+(-8)^2}

BC=\sqrt{64}

BC=8

And,

AC=\sqrt{(3-(-3))^2+(-4-4)^2}

AC=\sqrt{(6)^2+(-8)^2}

AC=\sqrt{36+64}

AC=\sqrt{100}

AC=10

Now, taking sum of squares of two smaller sides, we get

AB^2+BC^2=6^2+8^2

AB^2+BC^2=36+64

AB^2+BC^2=100

AB^2+BC^2=AC^2

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0
3 years ago
Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ
labwork [276]
(sec x - tan x)^2 \\  \\ = sec^2x - 2 sec x tan x + tan^2 x \\  \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\  \\ =1 - 2 sec x tan x + 2 tan^2 x \\  \\ = 1 - 2tan x(sec x - tan x) \\  \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\  \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\  \\ =1-\frac{2 sin x}{1+sin x}
3 0
3 years ago
Refer to the figure. Barton Road and Olive Tree Lane
Fantom [35]

Angles at right-angle add up to 90 degrees

The measure of acute angle Tryon Street forms with Barton Road is <em>33 degrees</em>

The angle is given as:

\mathbf{A = 57^o} ---- <em>Angle formed by Tryon Street with Olive Tree Lane. </em>

The measure of the acute angle formed by Tryon Street with Barton Road (B) is calculated using:

\mathbf{A + B = 90} ---- angle at right-angle

Make B the subject

\mathbf{B = 90 - A}

Substitute 57 for A

\mathbf{B = 90 - 57}

\mathbf{B = 33}

Hence, the measure of acute angle is 33 degrees

Read more about acute angles at:

brainly.com/question/10334248

3 0
2 years ago
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