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2 years ago

Find the x and y intercepts of the graph of the equation 1. 3x-4y=24 2. -6x+3y=12

Mathematics

1 answer:

deff fn [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Recall the intercept form of the line

x/a + y/b = 1

has intercepts at (1,0) and (0,b)

#1. Divide by 24 to get x/8 + y/-6 = 1

The intercepts are at (8,0) and (0,-6)

#2 Divide by 12

x/-2 + y/4 = 1

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How do you solve this?

Sholpan [36]

40% of 60 is 24

To convert from percent to decimal, divide the percent without the percent symbol by 100.

so, 40% = 40/100 = 0.4

40% 60 is just 0.4*60 = 24

6 0

2 years ago

Read 2 more answers

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

This has been shown in (c) above

3 0

2 years ago

A segment has endpoint X and Z what are the two names of the segment?

Naily [24]

Segment XZ and segment ZX

8 0

3 years ago

50 pts + Brainliest Please help <a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="462b2306">[email p

LiRa [457]

The radius of the cylinder's base is 8, so the volume of the cylinder is $\pi8^218\approx3617.28$ (using the approximation of $\pi\approx3.14$ ).

The sphere has radius 6, so the volume of the sphere is $\dfrac43\pi6^3\approx904.32$ .

The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.

3 0

2 years ago

Read 2 more answers

Is the function represented by the table linear

Bess [88]

Answer:

No, because it does not have a constant rate of change.

Step-by-step explanation:

On the x side of the table, there is a constant rate of change (+1). However, on the y side, it is not. The first change is +7, the next +5, and the last +6. The rate of change has to be constant on both sides for the table to be considered linear.

4 0

3 years ago