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2 years ago

Complete the statement. The lines shown in the graph have the same

Mathematics

2 answers:

Vikki [24]2 years ago

3 0

The answer is Y-intercept

polet [3.4K]2 years ago

3 0

Answer:

y-intercept

Step-by-step explanation:

Both graphs intersect at point (0, 5). Whenever a line crosses the y-axis, then the y-value of that line is the linear equation's y-intercept.

The y-intercept is also the value of y when x = 0. Looking at the ordered pair, (0, 5) where the two lines intersect, the value of x is 0, and y = 5.

In the slope-intercept form, <em>y = mx + b</em>, the constant b is the y-intercept.

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Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length

Bezzdna [24]

Answer:

Area of ΔDEF is $45\ cm^2$ .

Step-by-step explanation:

Given;

ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = $2\ cm$ and

Length of DE = $6\ cm$

Area of ΔABC = $5\ cm^2$

Solution,

Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

$\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}$

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

$\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2$

Thus the area of ΔDEF is $45\ cm^2$ .

4 0

2 years ago

Read 2 more answers

Simplify the ratio 4:26

lozanna [386]

Answer:

The simplest form of 426 is 213.

8 0

2 years ago

Read 2 more answers

Please Help Me I Am Stuck On This Question

Strike441 [17]

A is 4.5 b is 3.2 c is 4.05 d 3.6

4 0

2 years ago

Read 2 more answers

What number is half-way between thirteen and thirty-one

mars1129 [50]

$\frac{13 + 31}{2} = \frac{44}{2} = 21$

Answer: 21

3 0

3 years ago

Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h

kolbaska11 [484]

Answer:

$b=\frac{T-a-c-d}{3}$

b = (T - a - c - d) / 3

Step-by-step explanation:

Let T be the total number of points required to advance.

a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

$T=a+c+d+3b$

Isolate b in order to find out how many points they need in the district match:

$T=a+c+d+3b\\3b=T-a-c-d\\b=\frac{T-a-c-d}{3}$

They need to score (T - a - c - d)/3, in the district match in order to win.

4 0

2 years ago