All categories

2 years ago

What us the y-intercept of the equation 4x + 5y =20

2 answers:

8 0

We know that when a line intercepts the y axis, x is 0. So substitute x as 0, which makes the equation 5y = 20 and divide both sides by 5, so y = 4 which is the y intercept.

MAXImum [283]2 years ago

3 0

Write equation in slope-intercept format, y = mx + b, where b is the y-intercept.

4x + 5y = 20

5y = -4x + 20

y = -4/5 x + 20/5

y = -4/5 x + 4

y = mx + b

y = -4/5 x + 4

b = 4

Answer: y-intercept = (0, 4)

You might be interested in

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:

katrin [286]

Answer: D. Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Took the test.

5 0

2 years ago

I need help with number 10 please I’m so confused on how to do it!

Solnce55 [7]

Given:

A figure.

$m \angle C D A=9 x+3$ and $m \angle E D A=6 x+5$

To find:

What kind of figure and the value of x

Solution:

All four sides are congruent.

Diagonals bisect each other.

There the given figure is rhombus.

Diagonals bisect the angles.

⇒ $m \angle C D A=m \angle E D A$

$9 x+3=6x+5$

Subtract 3 on both sides.

$9 x+3-3=6x+5-3$

$9 x=6x+2$

Subtract 6x from both sides.

$9 x-6x=6x+2-6x$

$3x=2$

Divide by 3 on both sides.

$\frac{3x}{3} =\frac{2}{3}$

$x=\frac{2}{3}$

The value of x is $\frac{2}{3}$ .

5 0

2 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

2 years ago

Read 2 more answers

Lisa Purchased almonds for $3.50 per pound. She spent a total of $24.50. how many pounds of almond did she purchase?

Margaret [11]

Answer:

7 pounds of almond

Step-by-step explanation:

It is $3.50 per pound.

If she spent a total of $24.50, just divide 24.50 by 3.50

$\frac{24.50}{3.50}$ = 7

We can verify this by multiplying 3.50 by 7 which gives us 24.50

5 0

2 years ago

Read 2 more answers

Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

Tcecarenko [31]

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

$m=\frac{1+1}{3-0}$

$m_1=\frac{2}{3}$

step 2

Find the slope of the function g(x)

take two points of the given table

(0,2) and (3,4)

substitute in the formula

$m=\frac{4-2}{3-0}$

$m_2=\frac{2}{3}$

step 3

Compare the slopes

$m_1=m_2$

therefore

The slope of f(x) is equal to the slope of g(x).

7 0

3 years ago

Read 2 more answers